CN113340856B - Noise removal algorithm of optical sensor and visibility calculation method thereof - Google Patents
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Abstract
The invention relates to a noise removal algorithm of an optical sensor, which is realized by the following steps: step one, firstly, calculating the actual number of received photonsStep two, utilizing a mathematical statistical method to compare the number of received photons C in step one i And the output light intensity value I i Linear regression is carried out, B is obtained by calculation i =C r0 (ii) a Step three, calculating the true value of the number of received photons of the receiving device of the photoelectric sensorAccording to the noise removal algorithm for the photoelectric sensor, the true value of the number of received photons is used for calculating the possible detection device more accurately when the numerical value of the photoelectric sensor is calculated, so that the detection device can remove the numerical value of noise generated by changing the ambient temperature when the numerical value of the photoelectric sensor is calculated. The noise removal algorithm of the present invention can be applied to various detection devices using a photosensor.
Description
Technical Field
The invention relates to the field of optical detection, in particular to a noise removal algorithm of an optical sensor and a computing method for computing visibility by adopting the noise removal algorithm.
Background
As is well known, different types of sensors are used for collecting measurement data in some detection devices, wherein the principle of a photoelectric sensor is that light emitted by an emitting device of the photoelectric sensor is attenuated by air, is received by a receiving device of the photoelectric sensor and converted into an electric signal, and then is received by a detection circuit such as an input circuit and an operational amplifier and finally output as photon number, and the obtained photon number is used for calculating the result of the detection device. When the photoelectric sensor is used in a detection device, the noise generated by the ambient temperature can bring certain influence on detection data, and cause inaccurate detection. Especially, if this optical sensor is used for visibility to detect time, can make the detection of visibility less accurate when the data that optical sensor obtained is inaccurate to bring the potential safety hazard for driving.
Therefore, the present inventors have made extensive studies on the above problems, and as a result, the present invention has been made.
Disclosure of Invention
The invention aims to provide a noise removal algorithm of an optical sensor, which eliminates the influence of noise generated by environment temperature change on the detection of the optical sensor.
Another object of the present invention is to provide a visibility calculation method using an optical sensor that can accurately detect visibility.
To achieve the above object, the solution of the present invention is as follows: a noise removal algorithm for a light sensor is implemented by the following steps:
step one, inputting n (n) to a transmitting device of a photoelectric sensor>3) The linear current value makes the emitting device of the photoelectric sensor output different output light intensity I i (I =1,2,3 …, n) at n different intensity values I i Next, the receiving device of the photoelectric sensor actually receives different current values A i (i =1,2,3 …, n) and results in a different number of received photons, C i (i =1,2,3 …, n), dark current due to ambient temperature change is defined as a T Then, the receiving current value of the receiving device of the photoelectric sensor(i =1,2,3 …, n), whereinIs the true value of the receiving current obtained when the light of the emitting device is irradiated to the light receiving device under the current input light intensity, and the actual number of the received photons of the receiving device(i=1,2,3 …, n), whereinIs based on the true value of the received currentGenerating a true value of the number of received photons, C r0 Is caused by dark current A T The number of generated photons is the noise value generated by the change of the environmental temperature;
step two, utilizing a mathematical statistical method to compare the number of received photons C in step one i And the output light intensity value I i Linear regression is performed, and C is set i =K i I i +B i The slope of the fitted line is And step oneI.e. B can be calculated i =C r0;
Step three, when I i The value of (a) is 0,the number of received photons C of the receiving means of the photosensor i =B i =C r0 In this case, since the dark current is constant in a short time and the number of photons due to noise is constant, let B i =0, namely the true value of the number of received photons of the receiving device of the photoelectric sensor
A visibility calculation method using an optical sensor is realized by the following steps:
the method comprises the following steps: the detection system is installed, a detection device, a convex lens, a red light filter and a reflector are sequentially arranged at a detection position, the detection device, the convex lens, the red light filter and the reflector are sequentially arranged on the same straight line at intervals, the convex lens, the red light filter and the reflector are vertically arranged, the detection device is provided with two light emitters and two light detectors, one light emitter is a red light emitter capable of emitting red light, the other light emitter is an infrared light emitter capable of emitting infrared light, one light detector is a red light detector capable of receiving red light, the other light detector is an infrared light detector capable of receiving infrared light, the emitting direction of the red light emitter, the emitting direction of the infrared light emitter, the receiving direction of the red light detector and the receiving direction of the infrared light detector all face towards the convex lens, the distance between the detection device and the convex lens is 3-10cm, the distance between the convex lens and the red light filter is 15-25cm, the visible light filter and the reflector are arranged close to each other, and the reflector is an infrared light reflector for reflecting infrared light back to the infrared light in the original way;
step two, the noise removal algorithm is specifically realized by the following steps:
step a) inputting n (n) to the infrared emitter and the red light emitter respectively>3) A linearly varying current value to make the infrared emitter and the red emitter output different output light intensities I i (I =1,2,3 …, n) at n different intensity values I i Next, the infrared light detector receives different current values A1 i (i =1,2,3 …, n), and different numbers of infrared light receiving photons C1 are obtained i (i =1,2,3 …, n), the red light detector receives different current values A2 i (i =1,2,3 …, n) and a different number of red-light-receiving photons C2 is obtained i (i =1,2,3 …, n), dark current due to environmental temperature change, where a is assumed to be dark current T Then, the received current value of the infrared light detector(i =1,2,3 …, n) whereinIs received when the light of the infrared light emitter irradiates the infrared light detector under the current input light intensityTrue current value, number of infrared receiving photons of infrared light detector(i =1,2,3 …, n), whereinIs based on the true value of the received currentTrue value of the number of infrared photons generated, C1 r0 Is infrared light in dark current A T The number of infrared photons generated at the lower part is the noise value generated by the change of the environmental temperature; received current value of red light detector(i =1,2,3 …, n), whereinIs the true value of the receiving current obtained when the light of the red light emitter irradiates the red light detector under the current input light intensity, and the number of the red light receiving photons of the red light detector(i =1,2,3 …, n) whereinIs based on the true value of the received currentTrue value of the number of red-light-receiving photons, C2, is generated r0 Is red light at dark current A T The number of red photons generated;
step b), respectively counting the number of infrared light receiving photons C1 in the step a) by using a mathematical statistical method i And the output light intensity value I i And the number of red light-receiving photons C2 i And the output light intensity value I i Linear regression is performed, and C1 is set i =K1 i I i +B1 i ,C2 i =K2 i I i +B2 i The slope of the fitted line of infrared light isIn step a)B1 can be calculated i =C1 r0 (ii) a Similarly, the slope of the fitted line of red light isIn step a)B2 can be calculated i =C2 r0 ;
Step c) when I i The value of (a) is 0,the number of infrared receiving photons of the infrared light detector C1 i =B1 i =C1 r0 The number of red light receiving photons C2 of the red light detector i =B2 i =C2 r0 Since the dark current is constant in a short time and the number of photons due to noise is constant, B1 is set to i =0, namely the true value of the infrared light receiving photon number of the infrared light detectorIn the same way, let B2 i =0, the true value of the red light receiving photon number of the red light detector is obtained
Step three, eliminating the infrared back scattering light, because the infrared light receiving photon number true value of the infrared light detectorThe number of infrared backward radiation photons is C1S i And the number of infrared transmission photons is CT i Then, then And in step c)Namely CT i =K1 i I i -C1S i Furthermore, the red light receives the photon number true value due to the arrangement of the red light filterLet the number of red backscattered photons be C2S i I.e. by
Meanwhile, setting the distance between the convex lens and the red light filter as d, and the backscattering energy equation p (d) of the light detector at the distance d is as follows:
in the formula, p 0 Is the emission power of the photodetector, c is the speed of light, τ is the pulse width, A d For the effective receiving area, Y (d) is the optical characteristic of the photodetector, β (d) is the backscattering coefficient, T d Is the transmission factor; according to the transmission factor of light in the aerosol particlesWherein I is the transmitted light intensity, I 0 Is the incident light intensity, this incident light intensity I 0 The output light intensity I of the step two i ;
The conversion of p (d) at this distance d into the number of photons C takes the formEta is the quantity of the light detectorThe sub-efficiency, λ is the wavelength of light, h is the Planck constant, and t is the time between the emission of the light emitter and the reception of the light detector; the number of red backscattered photons C2S at the distance d can be known i (d) And the number of infrared backscattered photons C1S i (d) In a ratio of In the formula, λ R Wavelength of red light, λ IR Is the wavelength of infrared light, beta R ) d) is the red backscattering coefficient, beta IR (d) Is the infrared light backscattering coefficient, T rR Is the red light transmission factor, T rIR For the infrared light transmission factor, the infrared backscattered photon number C1S can be obtained by using the formula of the ratio of red backscattered photon number to infrared backscattered photon number i By usingThe infrared transmission photon number CT can be obtained by the formula i ;
Step four, according to the infrared transmission photon number CT obtained in step three i The transmission factor of infrared light can be obtainedWherein C is 0 At a light intensity value I 0 The number of received photons of the infrared light detector when the lower light propagation distance is 0; then the Beer-Bouguer-Lambert theorem T rIR =e -σ2d Obtaining extinction coefficient sigma of infrared light, where e is the base of natural number logarithm and 2d is optical path, and substituting the obtained extinction coefficient sigma into visibility calculation formulaThe visibility can be obtained.
By adopting the technical scheme, the noise removal algorithm of the optical sensor provided by the invention can be used for calculating the value of noise generated due to the change of the environmental temperature in the measured data of the optical sensor to obtain the true test value of the optical sensor, eliminating the noise generated due to the environmental temperature, ensuring that the test data of the optical sensor is calculated by the detection device more accurately, and improving the detection accuracy of the detection device.
According to the visibility calculation method adopting the optical sensor, the number of backward radiation photons of infrared light and the noise value generated by the change of the ambient temperature can be considered during the visibility calculation, so that the visibility calculation accuracy is greatly improved.
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FIG. 1 is a schematic structural diagram of the present invention.
Detailed Description
In order to further explain the technical solution of the present invention, the present invention is explained in detail by the following specific examples.
A noise removal algorithm for a light sensor is implemented by the following steps:
step one, inputting n (n) to a transmitting device of a photoelectric sensor>3) The linear current value makes the emitting device of the photoelectric sensor output different output light intensity I i (I =1,2,3 …, n) at n different intensity values I i Next, the receiving device of the photoelectric sensor actually receives different current values A i (i =1,2,3 …, n) and results in a different number of received photons, C i (i =1,2,3 …, n), dark current due to environmental temperature change, where a is assumed to be dark current T Then, the receiving current value of the receiving device of the photoelectric sensor(i =1,2,3 …, n), whereinIs the true value of the receiving current obtained when the light of the emitting device is irradiated to the light receiving device under the current input light intensity, and the actual number of the received photons of the receiving device(i =1,2,3 …, n), whereinIs based on the true value of the received currentGenerating a true value of the number of received photons, C r0 Is caused by dark current A T The number of generated photons is the noise value generated by the change of the environmental temperature;
step two, utilizing a mathematical statistical method to compare the number of the received photons C in the step one i And the output light intensity value I i Linear regression is performed, and C is set i =K i I i +B i The slope of the fitted line is And step oneI.e. B can be calculated i =C r0; Implementation of this step reduces the effect of white noise;
step three, when I i The value of (a) is 0,the number of received photons C of the receiving means of the photosensor i =B i =C r0 In this case, since the dark current is constant in a short time and the number of photons due to noise is constant, let B i =0, namely the true value of the number of received photons of the receiving device of the photoelectric sensor
By adopting the steps, the true value of the number of received photons of the photoelectric sensor can be obtained, so that the detection device can accurately calculate the possible detection device by utilizing the true value of the number of received photons when calculating the numerical value of the photoelectric sensor, and the detection device can remove the numerical value of noise caused by the change of the ambient temperature when calculating the numerical value of the photoelectric sensor. The noise removal algorithm of the present invention can be applied to various detection devices using a photosensor.
The invention relates to a noise removal algorithm of an optical sensor, comprising the following steps: the detection system is installed, as shown in fig. 1, a detection device 1, a convex lens 2, a red light filter 3 and a reflector 4 are arranged at a detection position, the detection device 1, the convex lens 2, the red light filter 3 and the reflector 4 are sequentially arranged on the same straight line at intervals, the convex lens 2, the red light filter 3 and the reflector 4 are vertically arranged, the detection device 1 is provided with two light emitters and two light detectors, one light emitter is a red light emitter (not shown) capable of emitting light 100, the other light emitter is an infrared emitter (not shown) capable of emitting infrared light 200, one light detector is a red light detector for receiving red light, the other light detector is an infrared light detector for receiving infrared light, the red light emitter, the infrared emitter, the red light detector and the infrared light detector are all known, the emitting direction of the red light emitter, the emitting direction of the infrared emitter, the receiving direction of the red light detector and the receiving direction of the infrared light detector all face the convex lens 2, the distance between the detection device 1 and the convex lens 2 is 3-10cm, preferably, the emitting end of the infrared emitter, the receiving direction of the red light detector and the receiving direction of the infrared light detector are all facing the convex lens 2, the reflector 4, preferably, the distance between the detecting device is a distance between the infrared light filter 4 and the reflector 4, the reflector 4 is preferably, the distance between the reflector 4 is preferably, the reflector 4 is set for detecting device is set for detecting the reflector 4 and the reflector 4, and the reflector 4;
step two, the noise removal algorithm is specifically realized by the following steps:
step a) inputting n (n) to the infrared emitter and the red light emitter respectively>3) A linearly varying current value to make the infrared emitter and the red emitter output different output light intensities I i (I =1,2,3 …, n) at n different intensity values I i Next, the infrared light detector receives different current values A1 i (i =1,2,3 …, n), and different numbers of infrared light receiving photons C1 are obtained i (i =1,2,3 …, n), the red light detector receives different current values A2 i (i =1,2,3 …, n) and results in a different number of red light-receiving photons C2 i (i =1,2,3 …, n), dark current due to ambient temperature change is defined as a T Then, the received current value of the infrared light detector(i =1,2,3 …, n), whereinThe receiving current true value is obtained when the light of the infrared light emitter irradiates the infrared light detector under the current input light intensity, and the infrared light receiving photon number of the infrared light detector(i =1,2,3 …, n), whereinIs based on the true value of the received currentTrue value of the number of infrared photons generated, C1 r0 Is infrared light in dark current A T The number of infrared photons generated at the lower part is the noise value generated by the change of the environmental temperature; received current value of red light detector(i =1,2,3 …, n), whereinIs the true value of the receiving current obtained when the light of the red light emitter irradiates the red light detector under the current input light intensity, and the number of the red light receiving photons of the red light detector(i =1,2,3 …, n), whereinIs based on the true value of the received currentTrue value of the number of red-light-receiving photons, C2, is generated r0 Is red light in dark current A T The number of red photons generated;
step b), respectively counting the number of infrared light receiving photons C1 in the step a) by using a mathematical statistical method i And the output light intensity value I i And the number of red light-receiving photons C2 i And the output light intensity value I i Linear regression is performed, and C1 is set i =K1 i I i +B1 i ,C2 i =K2 i I i +B2 i The slope of the fitted line of infrared light isIn step a)B1 can be calculated i =C1 r0; Similarly, the slope of the fitted line of red light isIn step a)B2 can be calculated i =C2 r0 ;
Step c) when I i The value of (a) is 0,the number of infrared receiving photons of the infrared light detector C1 i =B1 i =C1 r0 Number of red light receiving photons C2 of red light detector i =B2 i =C2 r0 In this case, since the dark current is constant in a short time and the number of photons due to noise is constant, B1 is set i =0, namely the true value of the infrared light receiving photon number of the infrared light detectorIn the same way, let B2 i =0, the true value of the red light receiving photon number of the red light detector is obtained
Step three, eliminating the infrared back scattering light, because the infrared light receiving photon number true value of the infrared light detectorThe number of infrared backward radiation photons is C1S i The number of infrared transmission photons is CT i Then, then And in step c)Namely CT i =K1 i I i -C1S i Furthermore, the red light receives the photon number true value due to the arrangement of the red light filterLet the number of red backscattered photons be C2S i I.e. by
Meanwhile, setting the distance between the convex lens and the red light filter as d, and the backscattering energy equation p (d) of the light detector at the distance d is as follows:
in the formula, p 0 Is the emission power of the photodetector, c is the speed of light, τ is the pulse width, A d For the effective receiving area, Y (d) is the optical characteristics of the photodetector, β (d) is the backscattering coefficient, T d Is the transmission factor; according to the transmission factor of light in the aerosol particlesWherein I is the transmitted light intensity, I 0 Is the incident light intensity, I 0 The output light intensity I of the step two i ;
The conversion of p (d) at this distance d into the number of photons C is in the form ofEta is the quantum efficiency of the optical detector, lambda is the wavelength of light, h is the Planck constant, and t is the time between the emission of the optical transmitter and the reception of the optical detector; the number of red backscattered photons C2S at the distance d can be known i (d) And the number of infrared backscattered photons C1S i (d) In a ratio of In the formula of lambda R Wavelength of red light, λ IR Is the wavelength of infrared light, beta R (d) Is the red light backscattering coefficient, beta IR (d) Is the infrared light backscattering coefficient, T rR Is the red light transmission factor, T rIR For the infrared light transmission factor, the infrared backscattered photon number C1S can be obtained by using the formula of the ratio of red backscattered photon number to infrared backscattered photon number i By usingThe infrared transmission photon number CT can be obtained by the formula i ;
Step four, according to the infrared transmitted photon number CT obtained in step three i The transmission factor of infrared light can be obtainedWherein C 0 At a light intensity value I 0 The number of received photons of the infrared light detector when the lower light propagation distance is 0; then the Beer-Bouguer-Lambert theorem T rIR =e -σ2d Obtaining extinction coefficient sigma of infrared light, where e is the base of natural number logarithm and 2d is optical path, and substituting the obtained extinction coefficient sigma into visibility calculation formulaThe visibility can be obtained.
The visibility calculation method adopting the optical sensor comprises the steps that when the visibility calculation method is applied, a detection device emits red light and infrared light, the red light and the infrared light pass through a convex lens 2 to a red light filter 3, at the moment, the red light and the infrared light are influenced by particles in the air in the process of transmitting to the red light filter, a small amount of backward scattering of the red light and the infrared light occurs, most of the red light is filtered by the red light filter 3 and cannot be reflected to an infrared light detector, the number of photons received by the red light detector is the number of photons of red light backward radiation, the infrared light passes through the red light filter 3 to a reflector 4 and is reflected to the detection device by a reflector 4 in an original way, the number of photons received by the infrared light detector at the detection device is the sum of the number of infrared transmission photons and the number of infrared light backward radiation photons, the number of backward radiation photons can be calculated when the visibility is calculated, the problem that backward radiation is not considered in the traditional visibility calculation is solved, the calculation accuracy of the visibility calculation is greatly improved, and the noise value generated by the ambient temperature is further removed when the visibility calculation is more accurate.
In the visibility calculation method, the light reflecting piece in the first step is a cylinder, one surface of the light reflecting piece facing the red light filter is adhered with a 3MM light reflecting film, preferably the cylinder is a prism, infrared light at different angles can be reflected back by utilizing the matching of the 3MM light reflecting film and the prism, and the visibility calculation accuracy is further ensured.
The above examples and drawings are not intended to limit the scope of the present invention, and any suitable changes or modifications thereof by one of ordinary skill in the art should be considered as not departing from the scope of the present invention.
Claims (1)
1. A visibility calculation method using an optical sensor is characterized by comprising the following steps:
the method comprises the following steps: the detection system is installed, a detection device, a convex lens, a red light filter and a light reflecting piece are sequentially arranged at a detection position, the detection device, the convex lens, the red light filter and the light reflecting piece are sequentially arranged on the same straight line at intervals, the convex lens, the red light filter and the light reflecting piece are vertically arranged, the detection device is provided with two light emitters and two light detectors, one light emitter is a red light emitter capable of emitting red light, the other light emitter is an infrared emitter capable of emitting infrared light, one light detector is a red light detector capable of receiving red light, the other light detector is an infrared light detector capable of receiving infrared light, the emitting direction of the red light emitter, the emitting direction of the infrared emitter, the receiving direction of the red light detector and the receiving direction of the infrared light detector all face towards the convex lens, the distance between the detection device and the convex lens is 3-10cm, the distance between the convex lens and the red light filter is 15-25cm, the red light filter and the light reflecting piece are arranged close to each other, and the light reflecting piece is an infrared light reflecting piece capable of reflecting infrared light back to the infrared light in the original way;
step two, the noise removal algorithm is specifically realized by the following steps:
step a) inputting n current values which change linearly to the infrared emitter and the red light emitter respectively, wherein n>3, making the infrared emitter and the red emitter output different output light intensity I i I =1,2,3 …, n, at n different intensity values I i Next, the infrared light detector receives different current values A1 i I =1,2,3 …, n, and obtains different numbers of infrared light receiving photons C1 i I =1,2,3 …, n, the red light detector receives different current values A2 i I =1,2,3 …, n, and yields different numbers of red light receiving photons C2 i I =1,2,3 …, n, dark current due to ambient temperature change, where a is the dark current T Then, the first step is executed,received current value of infrared light detectorWhereinIs the true value of the receiving current obtained when the light of the infrared light emitter irradiates the infrared light detector under the current input light intensity, and the number of the infrared light receiving photons of the infrared light detector WhereinIs based on the true value of the received currentThe generated infrared photon number true value, C1 r0 Is infrared light in dark current A T The number of infrared photons generated is the noise value generated by the change of the environmental temperature; received current value of red light detector WhereinIs the true value of the receiving current obtained when the light of the red light emitter irradiates the red light detector under the current input light intensity, and the number of the red light receiving photons of the red light detectorWhereinIs based on receiving current true valueTrue value of the number of red-light-receiving photons, C2, is generated r0 Is red light at dark current A T The number of red photons generated;
step b), respectively comparing the infrared light receiving photon number C1 in the step a) by using a mathematical statistical method i And the output light intensity value I i And the number of red light-receiving photons C2 i And the output light intensity value I i Linear regression is performed, and C1 is set i =K1 i I i +B1 i ,C2 i =K2 i I i +B2 i The slope of the fitted line of infrared light isIn step a) B1 can be calculated i =C1 r0 (ii) a Similarly, the slope of the fitted line of red light is In step a)B2 can be calculated i =C2 r0 ;
Step c) when I i The value of (a) is 0,the infrared light receiving photon number C1 of the infrared light detector i =B1 i =C1 r0 The number of red light receiving photons C2 of the red light detector i =B2 i =C2 r0 In this case, since the dark current is constant in a short time and the number of photons due to noise is constant, B1 is set i =0, namely the true value of the infrared receiving photon number of the infrared detector is obtainedIn the same way, let B2 i =0, the true value of the red light receiving photon number of the red light detector is obtained
Step three, eliminating the infrared back scattering light, because the infrared light receiving photon number true value of the infrared light detectorThe number of infrared backward radiation photons is C1S i The number of infrared transmission photons is CT i Then, thenAnd in step c) ofNamely CT i =K1 i I i -C1S i Furthermore, the red light receives the photon number true value due to the arrangement of the red light filterLet the number of red backscattered photons be C2S i I.e. by
Meanwhile, setting the distance between the convex lens and the red light filter as d, and the backscattering energy equation p (d) of the light detector at the distance d is as follows:
in the formula, p 0 Is the emission power of the photodetector, c is the speed of light, τ is the pulse width, A d For the effective receiving area, Y (d) is the optical characteristics of the photodetector, β (d) is the backscattering coefficient, T d Is the transmission factor; according to the transmission factor of light in the aerosol particlesWherein I is the transmitted light intensity, I 0 Is the incident light intensity, this incident light intensity I 0 Output light intensity I of step two i ;
The conversion of p (d) at this distance d into the number of photons C is in the form ofEta is the quantum efficiency of the optical detector, lambda is the wavelength of light, h is the Planck constant, and t is the time between the emission of the optical transmitter and the reception of the optical detector; the number of red backscattered photons C2S at the distance d can be known i (d) And the number of infrared backscattered photons C1S i (d) In a ratio of In the formula of lambda R Wavelength of red light, λ IR Is the wavelength of infrared light, beta R (d) Is the red light backscattering coefficient, beta IR (d) Is the infrared light backscattering coefficient, T rR Is the red light transmission factor, T rIR For the infrared light transmission factor, the infrared backscattered photon number C1S can be obtained by using the formula of the ratio of the red backscattered photon number to the infrared backscattered photon number i By usingThe infrared transmission photon number CT can be obtained by the formula i ;
Step four, according to the infrared transmitted photon number CT obtained in step three i The transmission factor of infrared light can be obtainedWherein C is 0 At a light intensity value I 0 The number of received photons of the infrared light detector when the lower light propagation distance is 0; then the Beer-Bouguer-Lambert theorem T rIR =e -σ2d Obtaining extinction coefficient sigma of infrared light, where e is the base of natural number logarithm and 2d is optical path, substituting the obtained extinction coefficient sigma into visibility calculation formulaThe visibility can be obtained.
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CN109297590B (en) * | 2018-09-14 | 2021-01-01 | 北京遥感设备研究所 | Method for calculating background radiation noise of infrared detector |
CN114235173B (en) * | 2021-11-17 | 2024-04-09 | 自然资源部第二海洋研究所 | Photon counting satellite-borne ocean laser radar detection simulation method |
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