CN111142090A - Laser altimeter cloud scattering error correction method and device - Google Patents

Laser altimeter cloud scattering error correction method and device Download PDF

Info

Publication number
CN111142090A
CN111142090A CN201911358504.XA CN201911358504A CN111142090A CN 111142090 A CN111142090 A CN 111142090A CN 201911358504 A CN201911358504 A CN 201911358504A CN 111142090 A CN111142090 A CN 111142090A
Authority
CN
China
Prior art keywords
cloud
height
calculating
coefficient
height measurement
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN201911358504.XA
Other languages
Chinese (zh)
Other versions
CN111142090B (en
Inventor
唐新明
李国元
幺嘉棋
高小明
陈继溢
窦显辉
李鸿洲
金建文
胡柳茹
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Ministry Of Natural Resources Land Satellite Remote Sensing Application Center
Original Assignee
Ministry Of Natural Resources Land Satellite Remote Sensing Application Center
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Ministry Of Natural Resources Land Satellite Remote Sensing Application Center filed Critical Ministry Of Natural Resources Land Satellite Remote Sensing Application Center
Priority to CN201911358504.XA priority Critical patent/CN111142090B/en
Publication of CN111142090A publication Critical patent/CN111142090A/en
Application granted granted Critical
Publication of CN111142090B publication Critical patent/CN111142090B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S17/00Systems using the reflection or reradiation of electromagnetic waves other than radio waves, e.g. lidar systems
    • G01S17/02Systems using the reflection of electromagnetic waves other than radio waves
    • G01S17/06Systems determining position data of a target
    • G01S17/08Systems determining position data of a target for measuring distance only
    • G01S17/10Systems determining position data of a target for measuring distance only using transmission of interrupted, pulse-modulated waves
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/48Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S17/00
    • G01S7/483Details of pulse systems
    • G01S7/486Receivers
    • G01S7/487Extracting wanted echo signals, e.g. pulse detection
    • G01S7/4873Extracting wanted echo signals, e.g. pulse detection by deriving and controlling a threshold value
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/48Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S17/00
    • G01S7/497Means for monitoring or calibrating

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • General Physics & Mathematics (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Electromagnetism (AREA)
  • Length Measuring Devices By Optical Means (AREA)
  • Optical Radar Systems And Details Thereof (AREA)

Abstract

The invention provides a laser altimeter cloud scattering error correction method and device, wherein the method comprises the following steps: acquiring echo waveform data of the altimetry laser, wherein the echo waveform data comprises echo powers of different altitudes; calculating original height measurement data according to the echo waveform data; calculating backscattering coefficients and extinction coefficients at different altitudes according to the echo power; calculating the height of the cloud top and the height of the cloud bottom according to the backscattering coefficient; calculating a weakening coefficient according to the backscattering coefficient and the extinction coefficient; calculating the cloud optical thickness according to the cloud top height, the cloud bottom height and the weakening coefficient; calculating a height measurement deviation correction value according to a height measurement deviation model caused by cloud optical thickness and atmospheric scattering; and calculating and correcting the height measurement data according to the original height measurement data and the height measurement deviation correction value. By the method, the height measurement deviation correction value can be rapidly calculated, and the calculated height measurement deviation correction value is accurate.

Description

Laser altimeter cloud scattering error correction method and device
Technical Field
The invention relates to the technical field of satellite laser height measurement, in particular to a method and a device for correcting cloud scattering errors of a laser height measuring instrument.
Background
Satellite laser height measurement is a technology capable of acquiring sub-meter or even centimeter-level elevation information in a high-frequency and large-range manner, and becomes one of important means for earth observation. However, when clouds exist in the atmosphere, laser pulses are stretched due to the influence of multiple scattering and absorption of the clouds, so that the receiving time of the pulse centroid is subjected to deviation measurement and delay when the pulse centroid is received, and therefore when the height is measured through satellite laser, the clouds are a non-negligible factor in order to guarantee the elevation accuracy of acquired data. Based on the finding, the researcher simulates the influence of cloud multiple scattering on the laser height measurement data precision under specific conditions based on a semi-resolution Monte Carlo method, and the result shows that the height measurement deviation is related to various factors such as cloud layer height, cloud effective particle radius, cloud optical thickness and concentration, so that the height measurement deviation must be corrected based on real-time atmospheric observation parameters and the semi-resolution Monte Carlo method to improve the distance measurement value. However, in actual observation, it is difficult to synchronously acquire real-time atmospheric related data, the correction of the height measurement result cannot be quickly completed, and the correction precision is low.
Disclosure of Invention
Therefore, the technical problem to be solved by the present invention is to overcome the defect in the prior art that the height measurement result cannot be corrected quickly, so as to provide a method and a device for correcting the cloud scattering error of a laser height indicator.
The invention provides a method for correcting cloud scattering errors of a laser altimeter, which comprises the following steps: acquiring echo waveform data of the altimetry laser, wherein the echo waveform data comprises echo powers of different altitudes; calculating original height measurement data according to the echo waveform data; calculating backscattering coefficients and extinction coefficients at different altitudes according to the echo power; calculating the height of the cloud top and the height of the cloud bottom according to the backscattering coefficient; calculating a weakening coefficient according to the backscattering coefficient and the extinction coefficient; calculating the cloud optical thickness according to the cloud top height, the cloud bottom height and the weakening coefficient; calculating a height measurement deviation correction value according to a height measurement deviation model caused by cloud optical thickness and atmospheric scattering; and calculating and correcting the height measurement data according to the original height measurement data and the height measurement deviation correction value.
Optionally, the step of calculating the backscattering coefficient and extinction coefficient at different altitudes according to the echo power comprises: calculating the temperature, the air pressure and the relative humidity at different altitudes according to the echo power and a preset temperature function, a preset air pressure function and a preset relative humidity function at different altitudes; calculating backscattering coefficients at different altitudes according to the temperature, the air pressure and the relative humidity at different altitudes; and calculating extinction coefficients at different altitudes according to the backscattering coefficients.
Optionally, calculating the cloud top height from the backscatter coefficients comprises: calculating top threshold values at different altitudes according to backscattering coefficients at different altitudes and a preset scattering constant; and determining the altitude corresponding to the first backscattering coefficient larger than the top threshold as the cloud top height.
Optionally, the top threshold is calculated by the following formula: t ist=(βm(z) + ψ). F, wherein, βmA backscatter coefficient indicating a current altitude, Ψ denotes a scattering constant, F ═ 0.70d0+ (i _ bin _ cnt/2)/180.0d0), i _ bin _ cnt denotes a node number of the current altitude, and d0 denotes that echo power received by the laser altimeter is converted into a quantized value between 0 and 255.
Optionally, calculating the cloud base height from the backscattering coefficient comprises: calculating bottom thresholds at different altitudes according to backscattering coefficients at different altitudes, cloud top heights, node numbers of the cloud top heights and top thresholds corresponding to the cloud top heights; and determining the altitude corresponding to the first backscattering coefficient larger than the bottom threshold as the cloud bottom height.
Optionally, the bottom threshold is calculated by the following formula: t isb=Tt- (i _ bin _ cnt-i _ bin _ top) · d _ top _ thr · 0.0010, wherein i _ bin _ top represents a node number of the current cloud top height, and d _ top _ thr represents a top threshold corresponding to the current cloud top height.
Optionally, the cloud optical thickness is calculated by the following formula:
Figure BDA0002336591390000031
wherein z istopDenotes the height of the cloud ceiling, zbottomDenotes the height of the cloud base, Sα(z) represents the attenuation coefficient at altitude z.
Optionally, the model of altimetry deviation caused by atmospheric scattering is: y ═ a + b · Exp (c · τ), where τ denotes the cloud optical thickness.
The invention provides a laser altimeter cloud scattering error correcting device in a second aspect, which comprises: the echo waveform data acquisition module is used for acquiring echo waveform data of the altimetry laser, wherein the echo waveform data comprises echo powers of different altitudes; the original height measurement data calculation module is used for calculating original height measurement data according to the echo waveform data; the backscattering coefficient calculation module is used for calculating backscattering coefficients and extinction coefficients at different altitudes according to the echo power; the cloud detection module is used for calculating the height of the cloud top and the height of the cloud bottom according to the backscattering coefficient; the attenuation coefficient calculation module is used for calculating an attenuation coefficient according to the backscattering coefficient and the extinction coefficient; the cloud optical thickness calculating module is used for calculating the cloud optical thickness according to the cloud top height, the cloud bottom height and the weakening coefficient; the height measurement deviation correction value calculation module is used for calculating a height measurement deviation correction value according to a height measurement deviation model caused by cloud optical thickness and atmospheric scattering; and the corrected height measurement data calculation module is used for calculating corrected height measurement data according to the original height measurement data and the height measurement deviation correction value.
A third aspect of the present invention provides a computer apparatus comprising: at least one processor; and a memory communicatively coupled to the at least one processor; the memory stores instructions executable by the at least one processor, and the instructions are executed by the at least one processor so as to execute the laser altimeter cloud scattering error correction method according to the first aspect of the present invention.
A fourth aspect of the present invention provides a computer-readable storage medium storing computer instructions for causing a computer to execute the method for correcting cloud scattering error of a laser altimeter according to the first aspect of the present invention.
The technical scheme of the invention has the following advantages:
1. the invention provides a method for correcting cloud scattering errors of a laser altimeter, which comprises the steps of obtaining echo waveform data of altimeter laser, calculating original altimeter data according to the echo waveform data, then calculating backscattering coefficients and extinction coefficients of the laser at different altitudes according to the echo waveform data, calculating cloud top height and cloud bottom height of a cloud layer according to the backscattering coefficients, calculating weakening coefficients according to the backscattering coefficients and the extinction coefficients, calculating cloud optical thickness according to the cloud top height, the cloud bottom height and the weakening coefficients, finally calculating a height correction value according to the cloud optical thickness and a preset height correction value calculation model, obtaining corrected height measurement data according to the height correction value and the original height measurement data, and according to the processes, the calculation is carried out only based on the acquired echo waveform data of the altimetry laser without acquiring other parameters, so that the calculation process is simple, corrected altimetry data can be quickly acquired, and the cloud optical thickness is the main factor of the laser altimetry result error, so that the calculated cloud optical thickness is substituted into an altimetry deviation model caused by atmospheric scattering, the altimetry deviation correction value can be quickly calculated, and the calculated altimetry deviation correction value is accurate.
2. According to the cloud scattering error correction method for the laser altimeter, when the cloud top height is calculated, the backscattering coefficients and the top threshold values at different altitude positions are calculated respectively, and when the backscattering coefficient of a certain height is larger than the top threshold value, the height is judged to be the cloud top height. Because the cloud layer and different altitudes cause different backscattering coefficients of laser, the backscattering coefficients and the top threshold value at different altitudes are respectively calculated, the altitude corresponding to the first backscattering coefficient larger than the top threshold value is determined as the cloud top height, and the cloud layer influencing the height measurement data can be accurately and quickly found.
3. According to the cloud scattering error correction method of the laser altimeter, provided by the invention, after the cloud top height is obtained through calculation, the backscattering coefficients and the bottom threshold value at different altitude positions are respectively calculated when the cloud bottom height is calculated, and when the backscattering coefficient of a certain height is larger than the top threshold value, the height is judged to be the cloud bottom height. The cloud layer and different altitudes cause different backscattering coefficients of the laser, so the backscattering coefficients and the bottom threshold at different altitudes are calculated respectively, the altitude corresponding to the first backscattering coefficient larger than the bottom threshold is determined as the cloud bottom height, and the cloud layer influencing the height measurement data can be accurately and quickly found.
4. The invention provides a cloud scattering error correction device of a laser altimeter, which obtains echo waveform data of altimeter laser, calculates original altimeter data according to the echo waveform data, calculates backscattering coefficients and extinction coefficients of the laser at different altitudes according to the echo waveform data, calculates cloud top height and cloud bottom height of a cloud layer according to the backscattering coefficients, calculates weakening coefficients according to the backscattering coefficients and the extinction coefficients, calculates cloud optical thickness according to the cloud top height, the cloud bottom height and the weakening coefficients, calculates a height measurement correction value according to the cloud optical thickness and a preset height measurement correction value calculation model, and can obtain corrected height measurement data according to the height measurement correction value and the original height measurement data, the calculation is carried out only based on the acquired echo waveform data of the altimetry laser without acquiring other parameters, so that the calculation process is simple, corrected altimetry data can be quickly acquired, and the cloud optical thickness is the main factor of the laser altimetry result error, so that the calculated cloud optical thickness is substituted into an altimetry deviation model caused by atmospheric scattering, the altimetry deviation correction value can be quickly calculated, and the calculated altimetry deviation correction value is accurate.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and other drawings can be obtained by those skilled in the art without creative efforts.
Fig. 1 is a flowchart illustrating a specific example of a method for correcting cloud scattering errors of a laser altimeter according to an embodiment of the present invention;
FIG. 2 is a graph of echo power obtained in an embodiment of the present invention;
3-4 are flowcharts illustrating a specific example of a method for correcting cloud scattering error of a laser altimeter according to an embodiment of the present invention;
FIG. 5 is a diagram illustrating data distribution and a corrected model distribution of the Sinkiang lake region according to an embodiment of the present invention;
FIG. 6 is a schematic diagram of a laser altimeter cloud scattering error correction device in an embodiment of the present invention;
FIG. 7 is a diagram of a computer device according to an embodiment of the present invention.
Detailed Description
The technical solutions of the present invention will be described clearly and completely with reference to the accompanying drawings, and it should be understood that the described embodiments are some, but not all embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The technical features mentioned in the different embodiments of the invention described below can be combined with each other as long as they do not conflict with each other.
Example 1
Satellite laser height measurement is a technology capable of acquiring sub-meter or even centimeter-level elevation information in a high-frequency and large-range manner, and becomes one of important means for earth observation. When the height is measured by satellite laser, cloud is a non-negligible factor in order to ensure the elevation accuracy of the acquired data. Based on the finding, the researcher simulates the influence of cloud multiple scattering on the laser height measurement data precision under specific conditions based on a semi-resolution Monte Carlo method, and the result shows that the height measurement deviation is related to various factors such as cloud layer height, cloud effective particle radius, cloud optical thickness and concentration, so that the height measurement deviation must be corrected based on real-time atmospheric observation parameters and the semi-resolution Monte Carlo method to improve the distance measurement value. However, in actual observation, it is difficult to synchronously acquire real-time atmospheric related data, the correction of the height measurement result cannot be quickly completed, and the correction precision is low.
The embodiment of the invention provides a laser altimeter cloud scattering error correction method, as shown in fig. 1, comprising the following steps:
step S10: and acquiring echo waveform data of the altimetry laser, wherein the echo waveform data comprises echo powers at different altitudes, and the echo powers at different altitudes are shown in figure 2.
Step S20: the raw altimetry data is calculated from the echo waveform data using conventional calculation methods, such as time-centroid method.
Step S30: and calculating backscattering coefficients and extinction coefficients at different altitudes according to the echo power, wherein the backscattering coefficients represent the influence of atmospheric environment on laser pulses in atmospheric transmission, and the influence generally refers to the scattering action of atmospheric particles such as clouds and the like.
Step S40: and calculating the height of the cloud top and the height of the cloud bottom according to the backscattering coefficient. The difference of the number of cloud particles existing at different altitudes can cause the difference of backscattering coefficients, so that the cloud top height and the cloud bottom height can be calculated according to the backscattering coefficients.
Step S50: and calculating the weakening coefficient according to the backscattering coefficient and the extinction coefficient.
Step S60: and calculating the cloud optical thickness according to the cloud top height, the cloud bottom height and the weakening coefficient.
In a specific embodiment, the cloud optical thickness is calculated by a slope method, because the backscattering signals generated by interaction with laser pulses in the atmosphere include particle scattering influences such as atmospheric molecules and clouds, the two scattering influences belong to rayleigh scattering and meter scattering respectively, the intensity of the rayleigh scattering signals is proportional to the-4 th power of the radiation wavelength, the intensity of the meter scattering signals is proportional to the- (1-2) th power of the radiation wavelength, and under the condition of longer wavelength or higher cloud density, the meter scattering signals in the atmospheric echo signals occupy main components, while the rayleigh scattering signals are relatively weak and can be ignored.
When the cloud optical thickness is calculated by a slope method, firstly, a weakening coefficient is calculated according to a backscattering coefficient and an extinction coefficient, and a calculation formula is shown as a formula (1):
Sα(z)=αα(z)βα(z), (1)
wherein z is the altitude of the laser pulse, Sα(Z) is the cloud attenuation coefficient (also known in some literature as the effective extinction coefficient) for the laser, representing the total energy scattered at the Z height, βα(z) backscattering coefficient of cloud, αα(z) is the extinction coefficient of the cloud.
Then, the cloud optical thickness is calculated according to the cloud top height, the cloud bottom height and the weakening coefficient, and the calculation formula is shown as the formula (2):
Figure BDA0002336591390000091
wherein τ is cloud opticsThickness, ztopIs the height of the cloud ceiling, zbottomIs the height of the cloud base.
Step S70: and calculating a height measurement deviation correction value according to the cloud optical thickness and the height measurement deviation model.
Step S80: and calculating and correcting the height measurement data according to the original height measurement data and the height measurement deviation correction value. In experiments, it is found that large height measurement deviation can be caused by front and back scattering caused by cloud, so that the elevation of the earth surface calculated by a time-gravity-center method is small, error correction can be completed by adding a height measurement deviation correction value calculated by a correction model to the original height measurement data, and the obtained corrected height measurement data is more accurate height measurement data.
The method for correcting the cloud scattering error of the laser altimeter, provided by the embodiment of the invention, comprises the steps of obtaining echo waveform data of altimeter laser, calculating original altimeter data according to the echo waveform data, then calculating backscattering coefficients and extinction coefficients of the laser at different altitudes, calculating cloud top height and cloud bottom height of a cloud layer according to the backscattering coefficients, calculating weakening coefficients according to the backscattering coefficients and the extinction coefficients, calculating cloud optical thickness according to the cloud top height, the cloud bottom height and the weakening coefficients, finally calculating a height correction value according to the cloud optical thickness and a preset height correction value calculation model, obtaining corrected height measurement data according to the height correction value and the original height measurement data, the calculation is carried out only based on the acquired echo waveform data of the altimetry laser without acquiring other parameters, so that the calculation process is simple, corrected altimetry data can be quickly acquired, and the cloud optical thickness is the main factor of the laser altimetry result error, so that the calculated cloud optical thickness is substituted into an altimetry deviation model caused by atmospheric scattering, the altimetry deviation correction value can be quickly calculated, and the calculated altimetry deviation correction value is accurate.
In a specific embodiment, there may be more than one layer of cloud in the altimetric atmosphere, when there are multiple layers of clouds, the cloud top height and the cloud bottom height of each layer of cloud need to be calculated respectively, then the cloud optical thickness of each layer of cloud needs to be calculated respectively, the calculated multiple cloud optical thicknesses are substituted into an altimetric deviation model caused by atmosphere scattering respectively, multiple altimetric deviation correction values are calculated, and then all the altimetric deviation correction values are added to the original altimetric data to obtain corrected altimetric data.
In an alternative embodiment, as shown in fig. 3, step S30 specifically includes:
step S31: and calculating the temperature, the air pressure and the relative humidity at different altitudes according to the echo power and the preset temperature function, the preset air pressure function and the preset relative humidity function at different altitudes. In a specific embodiment, the preset temperature function, the preset air pressure function and the preset relative humidity function at different altitudes can be obtained by querying an american standard atmospheric table, the temperature, the air pressure and the relative humidity at different altitudes can be calculated through the echo power, and the echo power changes suddenly when clouds exist in the atmosphere, as shown in fig. 2, when the detected altitude is c, the signal intensity changes suddenly, so that the existence of cloud particles can also affect the temperature, the air pressure and the relative humidity of the atmosphere at the same altitude.
Step S32: and calculating the backscattering coefficients at different altitudes according to the temperature, the air pressure and the relative humidity at different altitudes. The backscattering coefficient is a physical quantity related to the laser pulse wavelength (1064nm) and the height of the pulse. The calculation formula of the backscattering coefficient is shown in formula (3):
βm(z,λ)=5.45N(z)(550/λ)410-26, (3)
therein, βmFor the backscattering coefficient, Z is the altitude of the location, λ is the lidar wavelength (1064nm), and n (Z) is the atmospheric molecular density at altitude Z, calculated by the following equation (4):
N(z)=P(z)/(kTv(z)), (4)
where k is the boltzmann constant of the dry air, P (z) is the atmospheric pressure at altitude z, TvIs the virtual temperature. T isvFrom relative humidity (obtained from MET data)Calculated, it is first converted to a water-vapor mixing ratio. Therefore, it is necessary to first calculate the saturation vapor pressure (es), which is a function of the atmospheric temperature (T), as shown in the following equation (5):
es=0.612e17.67T/(T-29.66), (5)
t is the temperature at altitude z.
The saturation mixing ratio (q) is then calculated by the following formula (6)s):
qs=0.622es/(p/10), (6)
Wherein P is atmospheric pressure.
The actual atmospheric water vapor mixture ratio q is defined as the product of the relative humidity and the saturated mixture ratio divided by 100, i.e.:
q=rqs/100, (7)
wherein qs is a saturation mixing ratio, r is relative humidity, and a virtual temperature TvCalculated by equation (8):
Figure BDA0002336591390000121
step S33: and calculating extinction coefficients at different altitudes according to the backscattering coefficients.
The extinction coefficient has important significance for inverting the cloud optical thickness parameter. The calculation formula (9) is as follows:
αm(z)=Smβm(z), (9)
wherein S ismβ for backscatter lidar ratiom(z) is the backscattering coefficient at altitude z, αm(z) is an extinction coefficient. In the embodiment of the invention, in order to better realize automatic inversion, 17.8 is used as a backscattering laser radar specific constant and is substituted into a formula to calculate the extinction coefficient.
In an alternative embodiment, as shown in fig. 4, the step of calculating the cloud top height according to the backscatter coefficients in step S40 includes:
step S41: the top threshold values at different altitudes are calculated according to the backscattering coefficients at different altitudes and the preset scattering constant, the backscattering coefficients are different due to different altitudes, and therefore different top threshold values need to be calculated for different altitudes when the cloud top height is calculated.
Step S42: and determining the altitude corresponding to the first backscattering coefficient larger than the top threshold as the cloud top height.
The process of calculating the Cloud top height is actually a process of searching for a Cloud, and in the embodiment of the invention, an algorithm adopted by a Global Laser Altimetry System (GLAS) carried on an ICESat (Ice, Cloud and land Elevation Satellite) Satellite is referred to for a Cloud search algorithm. GLAS 1064nm channel only downloads backscatter profile data in the range of 0.25km to 20km from the earth's surface, divided into sections (Bin) every 76.8 m. If the backscatter signals of three consecutive bins are greater than the threshold, then the cloud is considered to be present at that height. And then further judging the height of the cloud top and the height of the cloud bottom. In actual data processing, the influence of clouds of different heights on the laser pulse is different, so that the backscatter coefficient threshold values of different heights are calculated by iteration.
According to the cloud scattering error correction method for the laser altimeter, provided by the embodiment of the invention, when the cloud top height is calculated, the backscattering coefficients and the top threshold value at different altitude positions are respectively calculated, and when the backscattering coefficient of a certain height is larger than the top threshold value, the height is judged to be the cloud top height. Because the cloud layer and different altitudes cause different backscattering coefficients of laser, the backscattering coefficients and the top threshold value at different altitudes are respectively calculated, the altitude corresponding to the first backscattering coefficient larger than the top threshold value is determined as the cloud top height, and the cloud layer influencing the height measurement data can be accurately and quickly found.
In an alternative embodiment, the top threshold is calculated by the following equation (10):
Tt=(βm(z)+ψ)·F, (10)
wherein the content of the first and second substances,βma backscatter coefficient indicating a current altitude, Ψ denotes a scattering constant, F ═ 0.70d0+ (i _ bin _ cnt/2)/180.0d0), i _ bin _ cnt denotes a node number of the current altitude, d0 denotes a quantized value in which echo power received by the laser altimeter is converted into a value between 0 and 255, wherein the quantized value is 0 when the echo power is 54.47, where d0 denotes the quantized value, which is numerically equivalent to 54.47. In one embodiment, taking the satellite counting from 20km above the ground, knowing that 260m above the ground ends, i _ bin _ cnt counts at 20km as 0, signals are tested starting from 19km above the ground (i _ bin _ cnt ═ 14), and moving downward, and if 3 signals occur consecutively exceeding the top threshold (Tt) corresponding to the respective altitude, it is determined that cloud interference occurs. Once this occurs, the cloud top height is defined as the height at which the first of the three nodes exceeds the threshold.
In an alternative embodiment, as shown in fig. 4, the step of calculating the cloud base height according to the backscatter coefficients in step S40 includes:
step S43: the bottom thresholds at different altitudes are calculated according to backscattering coefficients, cloud top heights, node numbers of the cloud top heights and top thresholds corresponding to the cloud top heights, the backscattering coefficients are different due to the fact that the backscattering coefficients are different when the cloud top heights are calculated and the backscattering coefficients are different when the cloud top heights are different from the backscattering coefficients, and therefore the bottom thresholds need to be calculated for the different altitudes respectively.
Step S44: and determining the altitude corresponding to the first backscattering coefficient larger than the bottom threshold as the cloud bottom height.
According to the cloud scattering error correction method for the laser altimeter, provided by the embodiment of the invention, after the cloud top height is obtained through calculation, the backscattering coefficients and the bottom threshold values at different altitudes are respectively calculated when the cloud bottom height is calculated, and when the backscattering coefficient of a certain height is larger than the top threshold value, the height is judged to be the cloud bottom height. The cloud layer and different altitudes cause different backscattering coefficients of the laser, so the backscattering coefficients and the bottom threshold at different altitudes are calculated respectively, the altitude corresponding to the first backscattering coefficient larger than the bottom threshold is determined as the cloud bottom height, and the cloud layer influencing the height measurement data can be accurately and quickly found.
In an alternative embodiment, the bottom threshold is calculated by equation (11) as follows:
Tb=Tt-(i_bin_cnt-i_bin_top)·d_top_thr·0.0010, (11)
the i _ bin _ top represents a node number of the current cloud layer cloud top height, and the d _ top _ thr represents a top threshold corresponding to the current cloud layer cloud top height. In one embodiment, TbT initially equal to the layer toptAnd drops by about 1% per 750m range when moving downward within Bin. When the backscattering coefficient calculated by the new 3 continuous bins is found to be larger than the bottom threshold value at the respective altitude, the first Bin is judged as the bottom of the cloud layer.
To search for all clouds in the atmosphere, the search algorithm continues to define a new T according to equation (10)tUntil a new cloud is found or 250 meters above sea level (considered to be at the surface, not mixed with surface signals).
In an alternative embodiment, the model of the altimetric deviation caused by atmospheric scattering is the following equation (12):
Y=a+b·Exp(c·τ), (12)
where τ represents the cloud optical thickness.
The inventor of the present application finds, by studying actual data, that, for satellite laser height measurement data affected by cloud scattering, when the cloud optical thickness is less than 2, the cloud optical thickness (COD) of the data has a strong correlation with height measurement deviation caused by cloud, and the whole data has an exponential function distribution with e as a base, so that the established model of height measurement deviation caused by atmospheric scattering is an exponential function, and parameters a, b, and c in the model of height measurement deviation caused by atmospheric scattering can be obtained according to actual tests, in the embodiment of the present invention, the model of height measurement deviation caused by atmospheric scattering obtained by the inventor through experiments is formula (13):
Y=-0.2758+0.2311*Exp(1.6153*X)。 (13)
in a specific embodiment, a height measurement deviation model caused by atmospheric scattering provided by the embodiment of the present invention is subjected to a related precision verification experiment through ICESat/GLAS data of the fegkai lake area, as shown in fig. 5, a dotted line is a deviation value between original height measurement data obtained by a conventional height measurement method and an actual height of the fegkai lake area under the influence of clouds, a smooth curve is a height measurement deviation correction value calculated by the height measurement deviation model caused by atmospheric scattering provided by the embodiment of the present invention, it can be seen from the figure that the height measurement deviation correction value is relatively consistent with the deviation value, therefore, more accurate corrected height measurement data can be obtained by adding the height measurement deviation correction value on the basis of the original height measurement data, and through calculation, when COD is 0-2, the overall Root Mean Square Error (RMSE) is 0.054, and the height measurement deviation can be corrected to within 5cm, therefore, the height measurement deviation model caused by atmospheric scattering provided by the embodiment of the invention is reliable, and the height measurement deviation correction value calculated by the model is accurate.
In a specific embodiment, when the cloud optical thickness is greater than 2, the correlation between the COD and the corresponding height measurement deviation begins to decrease, and at this time, the height measurement deviation far exceeds the precision of a standard height measurement product by 1-2 orders of magnitude, so that when the calculated COD is greater than 2, the calculated height measurement data error is too large to be corrected, and the calculated height measurement data error should be marked as that atmospheric scattering is very obvious and data quality degradation is serious, and the laser point is not recommended to be used.
Example 2
An embodiment of the present disclosure provides a laser altimeter cloud scattering error correction device, as shown in fig. 5, including:
the echo waveform data acquiring module 10 is configured to acquire echo waveform data of the altimetry laser, where the echo waveform data includes echo powers at different altitudes, and the detailed description is described in the above embodiment 1 for step S10.
The raw altimeter data calculation module 20 is configured to calculate raw altimeter data according to the echo waveform data, and the detailed description is described in the above embodiment 1 for step S20.
A backscattering coefficient calculating module 30 for calculating backscattering coefficients and extinction coefficients at different altitudes according to the echo power, which is described in detail in the above embodiment 1 for the step S30.
The cloud detection module 40 is configured to calculate a cloud top height and a cloud bottom height according to the backscatter coefficient, which is described in detail in the above embodiment 1 for the step S40.
The attenuation coefficient calculation module 50 is used for calculating the attenuation coefficient according to the backscattering coefficient and the extinction coefficient, and the detailed description is given in the above embodiment 1 for the description of step S50.
The cloud optical thickness calculating module 60 is configured to calculate the cloud optical thickness according to the cloud top height, the cloud bottom height, and the weakening coefficient, which is described in detail in the above embodiment 1 for the step S60.
The altimetry deviation correction value calculation module 70 is configured to calculate an altimetry deviation correction value according to an altimetry deviation model caused by cloud optical thickness and atmospheric scattering, which is described in detail in the above embodiment 1 for the description of step S70.
A corrected altimeter data calculation module 80 for calculating corrected altimeter data according to the original altimeter data and the altimeter deviation correction value, as described in detail in the above embodiment 1 for step S80.
The cloud scattering error correction device for the laser altimeter, provided by the embodiment of the invention, is used for obtaining echo waveform data of altimeter laser, calculating original altimeter data according to the echo waveform data, then calculating backscattering coefficients and extinction coefficients of the laser at different altitudes according to the echo waveform data, calculating cloud top height and cloud bottom height of a cloud layer according to the backscattering coefficients, calculating weakening coefficients according to the backscattering coefficients and the extinction coefficients, calculating cloud optical thickness according to the cloud top height, the cloud bottom height and the weakening coefficients, finally calculating a height measurement correction value according to the cloud optical thickness and a preset height measurement correction value calculation model, and obtaining corrected height measurement data according to the height measurement correction value and the original height measurement data, the calculation is carried out only based on the acquired echo waveform data of the altimetry laser without acquiring other parameters, so that the calculation process is simple, corrected altimetry data can be quickly acquired, and the cloud optical thickness is the main factor of the laser altimetry result error, so that the calculated cloud optical thickness is substituted into an altimetry deviation model caused by atmospheric scattering, the altimetry deviation correction value can be quickly calculated, and the calculated altimetry deviation correction value is accurate.
Example 3
The present invention also provides a computer device, as shown in fig. 6, the computer device mainly includes one or more processors 91 and a memory 92, and fig. 6 takes one processor 91 as an example.
The computer device may further include: an input device 99 and an output device 94.
The processor 91, the memory 92, the input device 99 and the output device 94 may be connected by a bus or other means, as exemplified by the bus connection in fig. 6.
The processor 91 may be a Central Processing Unit (CPU). The Processor 91 may also be other general purpose processors, Digital Signal Processors (DSPs), Application Specific Integrated Circuits (ASICs), Field Programmable Gate Arrays (FPGAs) or other Programmable logic devices, discrete Gate or transistor logic devices, discrete hardware components, or any combination thereof. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like. The memory 92 may include a storage program area and a storage data area, wherein the storage program area may store an operating system, an application program required for at least one function; the storage data area may store data created from use of the laser altimeter cloud scattering error correction apparatus, and the like. Further, memory 92 may include high speed random access memory, and may also include non-transitory memory, such as at least one magnetic disk storage device, flash memory device, or other non-transitory solid state storage device. In some embodiments, memory 92 may optionally include memory located remotely from processor 91, and these remote memories may be connected to the laser altimeter cloud dispersion error correction device via a network. Input device 99 may receive user input of a calculation request (or other numeric or character information) and generate key signal inputs associated with the laser altimeter cloud dispersion error correction device. The output device 94 may include a display device such as a display screen for outputting the calculation result.
Example 4
The invention provides a computer-readable storage medium which stores computer instructions, wherein the computer-readable storage medium stores computer-executable instructions, and the computer-executable instructions can execute the laser altimeter cloud scattering error correction method in any method embodiment. The storage medium may be a magnetic Disk, an optical Disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a Flash Memory (Flash Memory), a Hard Disk (Hard Disk Drive, abbreviated as HDD), a Solid State Drive (SSD), or the like; the storage medium may also comprise a combination of memories of the kind described above.
It should be understood that the above examples are only for clarity of illustration and are not intended to limit the embodiments. Other variations and modifications will be apparent to persons skilled in the art in light of the above description. And are neither required nor exhaustive of all embodiments. And obvious variations or modifications therefrom are within the scope of the invention.

Claims (11)

1. A laser altimeter cloud scattering error correction method is characterized by comprising the following steps:
acquiring echo waveform data of the altimetry laser, wherein the echo waveform data comprises echo powers of different altitudes;
calculating original height measurement data according to the echo waveform data;
calculating backscattering coefficients and extinction coefficients at different altitudes according to the echo power;
calculating the height of the cloud top and the height of the cloud bottom according to the backscattering coefficient;
calculating a weakening coefficient according to the backscattering coefficient and the extinction coefficient;
calculating the cloud optical thickness according to the cloud top height, the cloud bottom height and the weakening coefficient;
calculating a height measurement deviation correction value according to the cloud optical thickness and a height measurement deviation model caused by atmospheric scattering;
and calculating corrected height measurement data according to the original height measurement data and the height measurement deviation correction value.
2. The method for correcting cloud scattering error of a laser altimeter according to claim 1, wherein the step of calculating backscattering coefficient and extinction coefficient at different altitudes according to the echo power comprises:
calculating the temperature, the air pressure and the relative humidity at different altitudes according to the echo power and a preset temperature function, a preset air pressure function and a preset relative humidity function at different altitudes;
calculating backscattering coefficients at different altitudes according to the temperature, the air pressure and the relative humidity at different altitudes;
and calculating extinction coefficients at different altitudes according to the backscattering coefficients.
3. The method for correcting the cloud scattering error of the laser altimeter according to claim 1, wherein calculating the cloud top height according to the backscattering coefficient comprises:
calculating top threshold values at different altitudes according to backscattering coefficients at different altitudes and a preset scattering constant;
and determining the altitude corresponding to the first backscattering coefficient larger than the top threshold as the cloud top height.
4. The laser altimeter cloud scattering error correction method of claim 3, wherein the top threshold is calculated by the following formula:
Tt=(βm(z)+ψ)·F,
wherein, βmA backscatter coefficient indicating a current altitude, Ψ denotes a scattering constant, F ═ 0.70d0+ (i _ bin _ cnt/2)/180.0d0), i _ bin _ cnt denotes a node number of the current altitude, and d0 denotes that echo power received by the laser altimeter is converted into a quantized value between 0 and 255.
5. The method for correcting the cloud scattering error of the laser altimeter according to claim 3, wherein calculating the cloud base height according to the backscattering coefficient comprises:
calculating bottom thresholds at different altitudes according to backscattering coefficients at different altitudes, cloud top heights, node numbers of the cloud top heights and top thresholds corresponding to the cloud top heights;
and determining the altitude corresponding to the first backscattering coefficient larger than the bottom threshold as the cloud bottom height.
6. The method of claim 5, wherein the bottom threshold is calculated by the following formula:
Tb=Tt-(i_bin_cnt-i_bin_top)·d_top_thr·0.0010,
wherein i _ bin _ top represents the node number of the cloud top height, and d _ top _ thr represents the top threshold corresponding to the cloud top height.
7. The method for correcting cloud scattering error of a laser altimeter according to claim 1, wherein the cloud optical thickness is calculated by the following formula:
Figure FDA0002336591380000031
wherein z istopDenotes the cloud ceiling height, zbottomRepresenting the height of the cloud base, Sα(z) represents the attenuation coefficient at altitude z.
8. The method for correcting the cloud scattering error of the laser altimeter according to claim 1, wherein the model of the altimetric deviation caused by atmospheric scattering is as follows:
Y=a+b·Exp(c·τ),
where τ represents the cloud optical thickness.
9. The utility model provides a laser altimeter cloud scattering error correcting unit which characterized in that includes:
the echo waveform data acquisition module is used for acquiring echo waveform data of the altimetry laser, wherein the echo waveform data comprises echo powers of different altitudes;
the original height measurement data calculation module is used for calculating original height measurement data according to the echo waveform data;
the backscattering coefficient calculation module is used for calculating backscattering coefficients and extinction coefficients at different altitudes according to the echo power;
the cloud detection module is used for calculating the height of the cloud top and the height of the cloud bottom according to the backscattering coefficient;
the attenuation coefficient calculation module is used for calculating an attenuation coefficient according to the backscattering coefficient and the extinction coefficient;
the cloud optical thickness calculating module is used for calculating the cloud optical thickness according to the cloud top height, the cloud bottom height and the weakening coefficient;
the height measurement deviation correction value calculation module is used for calculating a height measurement deviation correction value according to the cloud optical thickness and a height measurement deviation model caused by atmospheric scattering;
and the corrected height measurement data calculation module is used for calculating corrected height measurement data according to the original height measurement data and the height measurement deviation correction value.
10. A computer device, comprising:
at least one processor; and a memory communicatively coupled to the at least one processor; wherein the memory stores instructions executable by the at least one processor to perform the laser altimeter cloud dispersion error correction method of any one of claims 1-8.
11. A computer-readable storage medium storing computer instructions for causing a computer to perform the laser altimeter cloud scattering error correction method of any one of claims 1-8.
CN201911358504.XA 2019-12-25 2019-12-25 Laser altimeter cloud scattering error correction method and device Active CN111142090B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201911358504.XA CN111142090B (en) 2019-12-25 2019-12-25 Laser altimeter cloud scattering error correction method and device

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201911358504.XA CN111142090B (en) 2019-12-25 2019-12-25 Laser altimeter cloud scattering error correction method and device

Publications (2)

Publication Number Publication Date
CN111142090A true CN111142090A (en) 2020-05-12
CN111142090B CN111142090B (en) 2022-03-18

Family

ID=70520044

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201911358504.XA Active CN111142090B (en) 2019-12-25 2019-12-25 Laser altimeter cloud scattering error correction method and device

Country Status (1)

Country Link
CN (1) CN111142090B (en)

Citations (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE2924490A1 (en) * 1978-08-03 1980-02-14 Fruengel Frank Dr Ing METHOD AND DEVICE FOR CLOUD HEIGHT MEASUREMENT
CN202025083U (en) * 2010-12-08 2011-11-02 中国科学院安徽光学精密机械研究所 Laser cloud height real-time remote-sensing device
CN104181612A (en) * 2014-08-13 2014-12-03 中国人民解放军理工大学 Foundation cloud measuring method combining infrared and lasers
CN104991260A (en) * 2015-06-24 2015-10-21 中国科学院合肥物质科学研究院 Semiconductor laser ceilometer-based cloud height automatic inversion method
CN105527620A (en) * 2015-12-01 2016-04-27 中国科学院上海技术物理研究所 Aerosol thickness and laser radar ranging delay automatic calibration method
CN105866764A (en) * 2015-12-01 2016-08-17 中国科学院上海技术物理研究所 On-satellite laser altimeter rough error elimination method integrated with multi-source data
CN107037439A (en) * 2017-03-28 2017-08-11 武汉大学 For the laser ceilometer atmosphere delay range error modification method of land target
CN108414998A (en) * 2018-03-02 2018-08-17 国家测绘地理信息局卫星测绘应用中心 A kind of laser satellite altitude meter echo waveform analog simulation method and equipment
CN110441758A (en) * 2019-07-18 2019-11-12 中国科学院光电研究院 A kind of spaceborne linear array multi-beam surveys the in-orbit geometric calibration method of high laser radar

Patent Citations (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE2924490A1 (en) * 1978-08-03 1980-02-14 Fruengel Frank Dr Ing METHOD AND DEVICE FOR CLOUD HEIGHT MEASUREMENT
CH628139A5 (en) * 1978-08-03 1982-02-15 Fruengel Frank METHOD AND DEVICE FOR CLOUD HEIGHT MEASUREMENT.
CN202025083U (en) * 2010-12-08 2011-11-02 中国科学院安徽光学精密机械研究所 Laser cloud height real-time remote-sensing device
CN104181612A (en) * 2014-08-13 2014-12-03 中国人民解放军理工大学 Foundation cloud measuring method combining infrared and lasers
CN104991260A (en) * 2015-06-24 2015-10-21 中国科学院合肥物质科学研究院 Semiconductor laser ceilometer-based cloud height automatic inversion method
CN105527620A (en) * 2015-12-01 2016-04-27 中国科学院上海技术物理研究所 Aerosol thickness and laser radar ranging delay automatic calibration method
CN105866764A (en) * 2015-12-01 2016-08-17 中国科学院上海技术物理研究所 On-satellite laser altimeter rough error elimination method integrated with multi-source data
CN107037439A (en) * 2017-03-28 2017-08-11 武汉大学 For the laser ceilometer atmosphere delay range error modification method of land target
CN108414998A (en) * 2018-03-02 2018-08-17 国家测绘地理信息局卫星测绘应用中心 A kind of laser satellite altitude meter echo waveform analog simulation method and equipment
CN110441758A (en) * 2019-07-18 2019-11-12 中国科学院光电研究院 A kind of spaceborne linear array multi-beam surveys the in-orbit geometric calibration method of high laser radar

Non-Patent Citations (5)

* Cited by examiner, † Cited by third party
Title
GUOYUAN.LI,ET AL: "IMPROVE THE ZY-3 HEIGHT ACCURACY USING ICESAT/GLAS LASER ALTIMETER DATA", 《THE INTERNATIONAL ARCHIVES OF THE PHOTOGRAMMETRY, REMOTE SENSING AND SPATIAL INFORMATION SCIENCES》 *
HUANG J , ET AL: "Ranging Error analysis of single photon satellite laser altimetry under different terrain conditions", 《 FOURTH SEMINAR ON NOVEL OPTOELECTRONIC DETECTION TECHNOLOGY AND APPLICATION》 *
么嘉棋等: "ICESat/GLAS 回波能量数据的云光学厚度反演", 《红外与激光工程》 *
刘建军: "长三角太湖地区云和气溶胶辐射特性的地基遥感研究", 《中国博士学位论文全文数据库 工程科技I辑》 *
陈舒杭等: "大气多次散射效应对星载激光测高仪测距偏差值的影响", 《红外与激光工程》 *

Also Published As

Publication number Publication date
CN111142090B (en) 2022-03-18

Similar Documents

Publication Publication Date Title
Gires et al. Influence of small scale rainfall variability on standard comparison tools between radar and rain gauge data
Young et al. The retrieval of profiles of particulate extinction from Cloud–Aerosol Lidar and Infrared Pathfinder Satellite Observations (CALIPSO) data: Uncertainty and error sensitivity analyses
Muppa et al. Turbulent humidity fluctuations in the convective boundary layer: Case studies using water vapour differential absorption lidar measurements
Protat et al. Evaluation of ice water content retrievals from cloud radar reflectivity and temperature using a large airborne in situ microphysical database
KR101751642B1 (en) Method for correction of extinction coefficient obtained from atmospheric Light Detection And Ranging(LIDAR)
Bianco et al. Convective boundary layer depth estimation from wind profilers: Statistical comparison between an automated algorithm and expert estimations
CN105044039B (en) A kind of method according to laser radar data automatic inversion horizontal visibility
Colli et al. Measurement accuracy of weighing and tipping-bucket rainfall intensity gauges under dynamic laboratory testing
Liao et al. Physical evaluation of GPM DPR single-and dual-wavelength algorithms
Adirosi et al. Evaluation of gamma raindrop size distribution assumption through comparison of rain rates of measured and radar-equivalent gamma DSD
Zhao et al. Impact of aerosol hygroscopic growth on retrieving aerosol extinction coefficient profiles from elastic-backscatter lidar signals
Chosson et al. Entrainment-mixing and radiative transfer simulation in boundary layer clouds
Szyrmer et al. Snow studies. Part IV: Ensemble retrieval of snow microphysics from dual-wavelength vertically pointing radars
Geer Physical characteristics of frozen hydrometeors inferred with parameter estimation
Maronga et al. The effect of surface heterogeneity on the structure parameters of temperature and specific humidity: A large-eddy simulation case study for the LITFASS-2003 experiment
Wolfensberger et al. From model to radar variables: a new forward polarimetric radar operator for COSMO
CN112782701A (en) Visibility perception method, system and equipment based on radar
Hogan et al. Facilitating cloud radar and lidar algorithms: the Cloudnet Instrument Synergy/Target Categorization product
Kretzschmar et al. Arctic clouds in ECHAM6 and their sensitivity to cloud microphysics and surface fluxes
CN111142090B (en) Laser altimeter cloud scattering error correction method and device
Younes et al. Improvements in solar radiation models based on cloud data
Song et al. High temporal resolution rainfall information retrieval from tipping-bucket rain gauge measurements
Young et al. Inferring marine atmospheric boundary layer properties from spectral characteristics of satellite-borne SAR imagery
Brugger et al. Evaluation of a procedure to correct spatial averaging in turbulence statistics from a Doppler lidar by comparing time series with an ultrasonic anemometer
Zuidema et al. Shortwave radiative impacts from aerosol effects on marine shallow cumuli

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant