CN102540148A - Inversion algorithm of rainfall three-dimensional distribution parameters - Google Patents
Inversion algorithm of rainfall three-dimensional distribution parameters Download PDFInfo
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Abstract
The invention discloses an inversion algorithm of rainfall three-dimensional distribution parameters; the inversion algorithm comprises the following steps of: one. obtaining total echo data by using space-borne wave band synthesized aperture radar, inverting a starting point of rainfall and the minimal value of total radar echoes, and obtaining an interzone rainfall distribution expression by adopting an VIE inversion algorithm; three. inverting rainfall horizontal distribution parameters according to the interzone rainfall distribution, and obtaining vertical distribution parameters by using a vertical distribution inversion algorithm; three. multiplying the horizontal distribution parameters and the vertical distribution parameters according to the inverted rainfall horizontal distribution parameters and vertical distribution parameter, and obtaining the rainfall three-dimensional distribution parameters. According to the inversion algorithm, when the horizontal distribution parameters are processed, only one length of region needs to be inverted, thereby the computation burden can be substantially reduced; only one line of echo data needs to be processed by adopting a vertical distribution counting manner, thereby the computation burden is substantially reduced, and the accuracy of inverting the rainfall three-dimensional distribution parameters can be kept.
Description
Technical field
The present invention relates to the inversion algorithm of the three-dimensional distribution parameter of a kind of rainfall, belong to the meteorological remote sensing technical field.
Background technology
The comparison of the inversion algorithm of rainfall distribution parameter typical case inversion algorithm is the VIE inversion algorithm at present; For example; Frank Silvio Marzano and James A. Weinman. Inversion of Spaceborne X-Band Synthetic Aperture Radar Measurements for Precipitation Remote Sensing Over Land. IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING; 2008; 46 (11): 3472-3487. this article has proposed a kind of spaceborne
wave band synthetic-aperture radar land rainfall remote sensing survey inversion algorithm; Set forth the VIE inversion algorithm in this article; If
is the piecewise function of rainfall zone horizontal ordinate
, then
Wherein
is constant;
is the volume scattering particle transverse axis length at place, wave beam plane;
is the radar incident angle;
is the rainfall area height;
is
, and
is the horizontal ordinate of rainfall area position.
Also set forth the inversion algorithm of a kind of vertical distribution parameter
in this article; That is: in interval
(2)
Wherein,
is the height of rainfall area;
is ground rainfall speed,
be the variable of interval
interior rainfall area height.
Set forth the method for distilling of rainfall starting point
in the literary composition, its calculation expression is:
Wherein
and
representes respectively: the mean value and the root mean square of 5 total echo points of radar at
before the point; The numerical value that satisfies formula (3) is the starting point
that is finally inversed by rainfall,
be the total echo of radar that receives.
Set forth the method for distilling of rectangle rainfall distribution rainfall width
in the literary composition, its calculation expression is:
Wherein
is the total echo minimum value of radar that is finally inversed by, and
is the starting point of rainfall.
Set forth the inversion method of the three-dimensional distribution parameter of rainfall
in the literary composition: promptly horizontal distribution parameter
and vertical distribution parameter
multiply each other, and its expression formula is:
But; In the above-mentioned VIE inversion algorithm; Because in whole rainfall zone;
is the piecewise function of observed range
; That is: not only every distance at a distance from
need recomputate calculating formula (1); Cause the calculated amount accumulation to increase; And; This algorithm at first need calculate by calculating formula (1) respectively the total echo data of each row, just can obtain the three-dimensional distribution parameter of whole rainfall then, has caused calculated amount significantly to increase like this.
Summary of the invention
To the deficiency that above-mentioned prior art exists, the object of the present invention is to provide the inversion algorithm of the three-dimensional distribution parameter of a kind of rainfall, this method can reduce operand significantly under the prerequisite that guarantees precision.
In order to achieve the above object, the technical scheme that the present invention adopts is: the inversion algorithm of the three-dimensional distribution parameter of a kind of rainfall comprises the following steps:
Step 1: adopt spaceborne
wave band synthetic-aperture radar to obtain total echo data
, be finally inversed by starting point
, the total echo minimum value of radar
of rainfall; Adopt the VIE inversion algorithm; Obtain the rainfall distribution and expression formula
of interval
; Wherein,
leaves the horizontal ordinate in rainfall zone for radar beam;
is the radar beam incident angle, and
is the rain belt height;
Step 2: according to the rainfall distribution
of above-mentioned interval
; Be finally inversed by rainfall horizontal distribution parameter
, this rainfall horizontal distribution parameter
confirms that the rainfall horizontal distribution is: the shape of the rainfall horizontal distribution of the whole rain belt of inverting, rainfall area width
, ground rainfall speed
, use vertical distribution inversion algorithm obtain vertical distribution parameter
;
Step 3: according to above-mentioned rainfall horizontal distribution parameter
and the vertical distribution parameter
of being finally inversed by; Horizontal distribution parameter
and vertical distribution parameter
are multiplied each other, obtain the three-dimensional distribution parameter
of rainfall.
The inversion algorithm of the three-dimensional distribution parameter of a kind of rainfall of the present invention; Its advantage and effect are: this method only needs the zone of length of inverting for
when processing horizontal distributes; Can significantly reduce operand; Adopt vertical distribution parametric inversion algorithm; Only need to handle delegation's echo data, thereby further significantly reduce operand, and can also keep the precision of inverting rainfall distribution parameter.
Description of drawings
Fig. 1 is the inversion algorithm process flow diagram of the three-dimensional distribution parameter of a kind of rainfall of the present invention
Fig. 2 is total reflectogram that the radar of emulation of the present invention receives
The rainfall horizontal distribution figure that Fig. 3 is finally inversed by for the present invention.
Embodiment
Below in conjunction with accompanying drawing and embodiment to further explain of the present invention.
The inversion algorithm of the three-dimensional distribution parameter of a kind of rainfall of the present invention; The total echo that receives when at first adopting spaceborne
wave band synthetic-aperture radar (TerraSAR-X) through the rainfall zone carries out the inverting that rainfall distributes to total echo then.The incident angle of setting synthetic-aperture radar is 30
o, ground scatter is-5 dB, the three-dimensional distribution parameter of rainfall is: the rainfall starting point is 10 Km, and the rainfall width is 10 Km, and horizontal distribution is shaped as rectangle, and Rainfall height is 7 Km, and rainfall speed in ground is 20 mm/h, wherein,
Zone position (Km) falls in the axle expression,
Axle expression rain belt height (Km),
Axle expression rainfall speed (mm/h).
The inversion algorithm of the three-dimensional distribution parameter of a kind of rainfall of the present invention, as shown in Figure 1, may further comprise the steps:
Step 1: adopt spaceborne
wave band synthetic-aperture radar to obtain total echo data
, be finally inversed by starting point
, the total echo minimum value of radar
of rainfall; Adopt the VIE inversion algorithm; Obtain the rainfall distribution and expression formula
of interval
; Wherein,
leaves the horizontal ordinate in rainfall zone for radar beam;
is the radar beam incident angle, and
is the rain belt height;
Wherein
and
representes respectively: the mean value and the root mean square of 5 total echo points of radar at
before the point, and the numerical value that satisfies formula (3) is the starting point
that is finally inversed by rainfall;
B. the size that compares all numerical value in
, wherein minimum value is the total echo minimum value of radar
;
If
is the piecewise function of rainfall zone horizontal ordinate
, then the rainfall distribution and expression formula in whole rainfall zone is:
?(1)
The total echo data of radar that the radar of emulation receives; As shown in Figure 2; Among the figure;
axle is transverse axis position (Km), rainfall zone;
axle is the numerical value of the total echo of radar, begins to the radar return terminating point from observation station, gets 100 points and calculates the total echo of radar respectively; Result of calculation is shown in curve among the figure.Curve can be found out from figure, and the echo that radar receives just reduces rapidly after slowly increasing, and after being reduced to minimum value, fast rise is finally got back to-5 dB places again.The above results occurring is: at first radar beam runs into scatterers such as cloud layer, and radar return is slowly increased; Then, radar beam arrives rainfall area, and the decay of rain belt causes the total echo of radar to reduce rapidly; Then, radar beam leaves the rainfall zone gradually, and the decay of rain belt reduces, and finally is zero, remaining area scattering-5 dB, that is: and after the total echo of radar was reduced to minimum value, fast rise was got back to-5 dB places again;
Step 2: according to the rainfall distribution
of above-mentioned interval
; Be finally inversed by rainfall horizontal distribution parameter
, this rainfall horizontal distribution parameter
confirms that the rainfall horizontal distribution is: the shape of the rainfall horizontal distribution of the whole rain belt of inverting, rainfall area width
, ground rainfall speed
, use vertical distribution inversion algorithm obtain vertical distribution parameter
;
A. calculate
derivative more arbitrarily; Be designated as
; if
, then rainfall horizontal distribution is shaped as rectangle;
Wherein
is the total echo minimum value of radar that is finally inversed by, and
is the starting point of rainfall;
C. the rainfall level is shaped as rectangle, and the maximal value of function
is ground rainfall speed
;
The rainfall horizontal distribution be shaped as rectangle:
(7)
Wherein,
is the height of rainfall area;
is ground rainfall speed, and
is the variable of rainfall area height.
Be illustrated in figure 3 as the horizontal distribution parameter
of inverting; Among the figure; Transverse axis is transverse axis position, rain belt (Km), and the longitudinal axis is the rainfall speed (mm/h) of rainfall horizontal distribution.In the radar return data that the radar of this emulation receives; In interval
Km scope; Evenly choose 100 points; Calculate the rainfall speed of these 100 points respectively, connect into figure then, shown in rectangle among the figure.From figure, can draw; The rainfall starting point that is finally inversed by
is 9.62 km; The rainfall width that is finally inversed by
is 10.262 km, and the ground rainfall speed of inverting
is 19.25 mm/h; Actual rainfall starting point is 10 Km; The rainfall width is 10 Km; Ground rainfall speed
is 20 mm/h, and then rainfall starting point inversion error is 3.8%; Rainfall width inversion error is 2.6%; Ground rainfall speed inversion error is 3.8%, more exactly inverting rainfall horizontal distribution parameter.
Step 3: according to above-mentioned rainfall horizontal distribution parameter
and the vertical distribution parameter
of being finally inversed by; Horizontal distribution parameter
and vertical distribution parameter
are multiplied each other, obtain the three-dimensional distribution parameter
of rainfall;
Claims (4)
1. the inversion algorithm of the three-dimensional distribution parameter of rainfall comprises the following steps:
Step 1: adopt spaceborne
wave band synthetic-aperture radar to obtain total echo data
, be finally inversed by starting point
, the total echo minimum value of radar
of rainfall; Adopt the VIE inversion algorithm; Obtain the rainfall distribution and expression formula
of interval
; Wherein,
leaves the horizontal ordinate in rainfall zone for radar beam;
is the radar beam incident angle, and
is the rain belt height;
Step 2: according to the rainfall distribution
of above-mentioned interval
; Be finally inversed by rainfall horizontal distribution parameter
, this rainfall horizontal distribution parameter
confirms that the rainfall horizontal distribution is: the shape of the rainfall horizontal distribution of the whole rain belt of inverting, rainfall area width
, ground rainfall speed
, use vertical distribution inversion algorithm obtain vertical distribution parameter
;
Step 3: according to above-mentioned rainfall horizontal distribution parameter
and the vertical distribution parameter
of being finally inversed by; Horizontal distribution parameter
and vertical distribution parameter
are multiplied each other, obtain the three-dimensional distribution parameter
of rainfall.
2. the inversion algorithm of the three-dimensional distribution parameter of a kind of rainfall according to claim 1; It is characterized in that: above-mentioned steps one described employing spaceborne
wave band synthetic-aperture radar is obtained total echo data
, is finally inversed by starting point
, the total echo minimum value of radar
of rainfall; Adopt the VIE inversion algorithm; Obtain the rainfall distribution and expression formula
of interval
; Wherein,
leaves the horizontal ordinate in rainfall zone for radar beam;
is the radar beam incident angle, and
is the rain belt height;
Wherein
and
representes respectively: the mean value and the root mean square of 5 total echo points of radar at
before the point, and the numerical value that satisfies formula (3) is the starting point
that is finally inversed by rainfall;
B. the size that compares all numerical value in
, wherein minimum value is the total echo minimum value of radar
;
If
is the piecewise function of rainfall zone horizontal ordinate
, then the rainfall distribution and expression formula in whole rainfall zone is:
(1)
3. the inversion algorithm of the three-dimensional distribution parameter of a kind of rainfall according to claim 1; It is characterized in that: above-mentioned steps two described rainfall distributions
according to above-mentioned interval
; Be finally inversed by rainfall horizontal distribution parameter
, this rainfall horizontal distribution parameter
confirms that the rainfall horizontal distribution is: the shape of the rainfall horizontal distribution of the whole rain belt of inverting, rainfall area width
, ground rainfall speed
, use vertical distribution inversion algorithm obtain vertical distribution parameter
;
A. calculate
derivative more arbitrarily; Be designated as
; if
, then rainfall horizontal distribution is shaped as rectangle;
(4)
Wherein
is the total echo minimum value of radar that is finally inversed by, and
is the starting point of rainfall;
C. the rainfall level is shaped as rectangle, and the maximal value of function
is ground rainfall speed
;
The rainfall horizontal distribution be shaped as rectangle:
(7)
E. use the vertical distribution inversion algorithm to obtain vertical distribution parameter
4. the inversion algorithm of the three-dimensional distribution parameter of a kind of rainfall according to claim 1; It is characterized in that: above-mentioned steps three is described according to above-mentioned rainfall horizontal distribution parameter
and the vertical distribution parameter
of being finally inversed by; Horizontal distribution parameter
and vertical distribution parameter
are multiplied each other, obtain the three-dimensional distribution parameter
of rainfall;
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Cited By (5)
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CN103499813A (en) * | 2013-10-11 | 2014-01-08 | 邓勇 | Method for distinguishing cloud and precipitation by radar precipitation factor |
CN111474606A (en) * | 2020-03-30 | 2020-07-31 | 中国人民解放军国防科技大学 | Rainfall and water vapor comprehensive measurement device and method based on dual-frequency dual-polarization microwave link |
CN112131989A (en) * | 2020-09-15 | 2020-12-25 | 河海大学 | Millimeter wave rain measurement model parameter obtaining method based on space rainfall data |
CN113325418A (en) * | 2021-07-08 | 2021-08-31 | 上海海洋大学 | Rainfall inversion method based on synthetic aperture radar |
CN113672864A (en) * | 2021-07-15 | 2021-11-19 | 中国电波传播研究所(中国电子科技集团公司第二十二研究所) | Weighted algorithm applied to rain attenuation statistical prediction for annual average rain top height |
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CN101609172A (en) * | 2009-07-14 | 2009-12-23 | 国家***第三海洋研究所 | A kind of water surface rainfall intensity measuring method and device thereof based on patter of rain spectrum |
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Cited By (9)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103499813A (en) * | 2013-10-11 | 2014-01-08 | 邓勇 | Method for distinguishing cloud and precipitation by radar precipitation factor |
CN111474606A (en) * | 2020-03-30 | 2020-07-31 | 中国人民解放军国防科技大学 | Rainfall and water vapor comprehensive measurement device and method based on dual-frequency dual-polarization microwave link |
CN111474606B (en) * | 2020-03-30 | 2022-04-05 | 中国人民解放军国防科技大学 | Rainfall and water vapor comprehensive measurement device and method based on dual-frequency dual-polarization microwave link |
CN112131989A (en) * | 2020-09-15 | 2020-12-25 | 河海大学 | Millimeter wave rain measurement model parameter obtaining method based on space rainfall data |
CN112131989B (en) * | 2020-09-15 | 2021-07-23 | 河海大学 | Millimeter wave rain measurement model parameter obtaining method based on space rainfall data |
CN113325418A (en) * | 2021-07-08 | 2021-08-31 | 上海海洋大学 | Rainfall inversion method based on synthetic aperture radar |
CN113325418B (en) * | 2021-07-08 | 2023-07-25 | 上海海洋大学 | Rainfall inversion method based on synthetic aperture radar |
CN113672864A (en) * | 2021-07-15 | 2021-11-19 | 中国电波传播研究所(中国电子科技集团公司第二十二研究所) | Weighted algorithm applied to rain attenuation statistical prediction for annual average rain top height |
CN113672864B (en) * | 2021-07-15 | 2023-08-15 | 中国电波传播研究所(中国电子科技集团公司第二十二研究所) | Annual average roof height weighting algorithm applied to statistical prediction of rain attenuation |
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Application publication date: 20120704 |