On-orbit Determination Method and System for Spectral Response Function of Hyperspectral Remote Sensor

Abstract

This invention discloses an on-orbit method and system for determining the spectral response function of a hyperspectral remote sensor, based on the solar reflection band. The method includes: step S1, acquiring multiple sets of input light sources to obtain a system of multiple linear regression equations; and step S2, calculating the system of multiple linear regression equations using the least squares method to obtain the pixel-by-pixel spectral response function of the remote sensor. This on-orbit method for determining the spectral response function of a hyperspectral remote sensor solves the problem of whether or not on-orbit observation of the spectral response function of a hyperspectral remote sensor is possible. It also shortens the observation cycle from months or even years to minutes, thereby improving the accuracy of satellite-based monitoring of global greenhouse gases, environmental pollutants, aerosols, and other atmospheric components, contributing to the high-quality development of national undertakings such as climate research, environmental protection, and low-carbon emission reduction.

Description

Technical Field

[0001] This invention relates to the field of optical remote sensing technology, and in particular to an on-orbit method and system for determining the spectral response function of a hyperspectral remote sensor. Background Technology

[0002] Hyperspectral remote sensing in the solar reflection band enables real-time observation of the global totals and profiles of greenhouse gases (carbon dioxide, nitrous oxide, methane, ozone) and polluting gases (formaldehyde, sulfur dioxide, carbon monoxide, nitrogen dioxide, chlorine dioxide), which is closely related to human life. For hyperspectral remote sensors using grating dispersive spectroscopy, the on-orbit variation of the relative spectral response function (RSF) due to factors such as on-orbit environmental temperature, optical alignment, and dispersion changes is one of the important factors affecting the accurate inversion of atmospheric gas composition. Due to the lack of on-orbit measurement methods, it is currently impossible to accurately grasp the on-orbit variation of the spectral response function.

[0003] While researchers at the MODIS (Mountains Integrated Distributed Optical Instrumentation System) designed the Onboard Spectroradiometric Calibration (SRCA) assembly early on to monitor changes in the on-orbit spectral response function using a monochromator, monitoring these changes with existing technology is extremely difficult for hyperspectral remote sensors. This is due, in part, to the relatively recent development of hyperspectral remote sensing technology and the incomplete understanding of the impact of on-orbit changes in the spectral response function on quantitative observations. Furthermore, measuring the spectral response function of a hyperspectral remote sensor is significantly more challenging than that of a channel-based instrument, requiring a more complex tunable laser system than a monochromator. The sheer size of the measurement system, coupled with the lengthy measurement cycle, makes on-orbit implementation extremely difficult.

[0004] With a deeper understanding of the on-orbit performance changes of hyperspectral remote sensors and the increasing demands for on-orbit calibration accuracy, there are more and more reports internationally on the on-orbit changes and corrections of the spectral response function, which have attracted widespread attention from relevant scholars. Pan, C. et al. discovered in 2017 that the SNPP / OMPS remote sensor showed signs of wavelength shift and spectral broadening. When the ambient temperature changed from -2°C to +2°C, the wavelength shift was approximately 0.03 nm / °C, contributing more than 1% to the radiometric calibration error. Corrections to error sources such as wavelength shift improved the radiometric calibration accuracy from 3-5% to the required 2%.

[0005] Taking the FY-3F / OMS as an example, the instrument is designed with a spectral resolution of 0.6 nm and a spectral calibration accuracy of 0.01 nm. Ordinary monochromators cannot meet the OMS spectral calibration accuracy requirements; a tunable laser is needed to perform precise scans in the 290-500 nm range at intervals less than 0.1 nm. A single complete scan often takes several months. Future planned remote sensors will have a scan point count that will increase by tens of times, and a single complete spectral response function measurement will take more than a year. The complex system structure coupled with the long measurement cycle makes it difficult to reproduce the spectral response function measurements of existing hyperspectral remote sensors in orbit.

[0006] The information disclosed in this background section is intended only to enhance the understanding of the overall background of the invention and should not be construed as an admission or in any way implying that the information constitutes prior art known to those skilled in the art. Summary of the Invention

[0007] The purpose of this invention is to provide an on-orbit determination method and system for the spectral response function of a hyperspectral remote sensor. This method solves the problem of whether or not on-orbit spectral response function observations of hyperspectral remote sensors are possible, and can shorten the observation cycle from several months or even years to the order of minutes. This improves the accuracy of human monitoring of global greenhouse gases, environmental pollutants, aerosols and other atmospheric components using satellites, and contributes to the high-quality development of national economic and social undertakings such as climate research, environmental protection, and low-carbon emission reduction.

[0008] To achieve the above objectives, in a first aspect, the present invention provides an on-orbit method for determining the spectral response function of a hyperspectral remote sensor, based on the solar reflection band. The method includes step S1, acquiring multiple sets of input light sources to obtain a system of multiple linear regression equations; and step S2, using the least squares method to calculate the system of multiple linear regression equations, thereby obtaining the pixel-by-pixel spectral response function of the remote sensor.

[0009] In one embodiment of the present invention, obtaining the multiple sets of input light sources specifically involves interfering with the solar spectrum to obtain multiple sets of input light sources, and the multiple sets of input light sources are known and independent of each other.

[0010] In one embodiment of the present invention, the multiple sets of input light sources are obtained by interfering with the solar spectrum through adding color filters, reflecting light through a color reference plate, observing atmospheric scattered light, and changing the distribution of the solar spectrum.

[0011] In one embodiment of the present invention, the system of multiple linear regression equations is specifically shown in equation (1):

[0012]

[0013] Wherein, the independent variable X represents different input light sources, x represents the specific radiance of a light source at a certain spectral position of a certain group of light sources, n represents the number of mutually independent light sources, and p represents the number of spectra. Wherein, p ≥ 3 in the above equation (1).

[0014] In one embodiment of the present invention, the least squares method calculation is specifically shown in equation (2):

[0015] Y = XB + ε (2);

[0016] Wherein, the dependent variable Y = (y1, y2, ..., y n )′ is the output count value after convolving multiple sets of uncorrelated spectra with the spectral response function of the remote sensor, B=(b0,b1,…,b p )′ represents the spectral response function, ε=(ε1,ε2,…,ε n )′ represents the effect of random factors in the experiment on the dependent variable.

[0017] In one embodiment of the present invention, the solar spectrum is intervened by changing the solar spectral distribution to obtain multiple sets of input light sources. Specifically, multiple sets of uncorrelated input light sources are generated by shifting the solar spectrum in the spectral dimension of the detector using a scanning mirror, and the shifting step size is 0.1 to 1 times the spectral resolution of the detector.

[0018] In one embodiment of the present invention, the solar spectrum is interfered with by reflection through a colored reference plate to obtain multiple sets of input light sources. Specifically, the solar spectrum is reflected by reference plates of different colors to generate multiple sets of unrelated input light sources.

[0019] Secondly, this invention provides an on-orbit system for determining the spectral response function of a hyperspectral remote sensor, applied to the aforementioned on-orbit method for determining the spectral response function of a hyperspectral remote sensor. The system includes an acquisition module and a calculation module. The acquisition module acquires multiple sets of input light sources to obtain a system of multiple linear regression equations. The calculation module calculates the system of multiple linear regression equations using the least squares method to obtain the pixel-by-pixel spectral response function of the remote sensor. Specifically, acquiring the multiple sets of input light sources involves interfering with the solar spectrum to obtain multiple sets of input light sources, and these multiple sets of input light sources are known and independent of each other.

[0020] Thirdly, embodiments of the present invention also provide a storage medium storing computer-executable instructions for executing the above-described method for determining the spectral response function of a hyperspectral remote sensor in orbit.

[0021] Fourthly, embodiments of the present invention also provide an electronic device, comprising:

[0022] At least one processor; and,

[0023] A memory that is communicatively connected to at least one processor; wherein,

[0024] The memory stores instructions that can be executed by the at least one processor, which enables the at least one processor to perform the above-described on-orbit determination method for the spectral response function of the hyperspectral remote sensor.

[0025] Compared with existing technologies, the on-orbit determination method for the spectral response function of a hyperspectral remote sensor according to the present invention solves the problem of whether or not on-orbit spectral response function observations of hyperspectral remote sensors are possible. Simultaneously, it can shorten the observation cycle from months or even years to minutes, thereby improving the accuracy of satellite-based monitoring of global greenhouse gases, environmental pollutants, aerosols, and other atmospheric components. This contributes to the high-quality development of national economic and social undertakings such as climate research, environmental protection, and low-carbon emission reduction. Regardless of how the spectral range of the remote sensor varies within the solar reflection band, this method requires only dozens of observations to obtain the pixel-by-pixel spectral response function, and the spectral response function at each point can be regressed to obtain a fine spectral structure. Attached Figure Description

[0026] Figure 1 This is a schematic flowchart of an on-orbit method for determining the spectral response function of a hyperspectral remote sensor according to an embodiment of the present invention.

[0027] Figure 2 This is a schematic diagram illustrating the effect of regressing the spectral response function after changing the solar spectral distribution using an on-orbit determination method for the spectral response function of a hyperspectral remote sensor according to an embodiment of the present invention.

[0028] Figure 3 This is a schematic diagram illustrating the effect of spectral response function regression after passing through a color reference plate in the on-orbit determination method of the spectral response function of a hyperspectral remote sensor according to an embodiment of the present invention.

[0029] Figure 4 This is a schematic diagram of the structure of an electronic device according to an embodiment of the present invention. Detailed Implementation

[0030] The specific embodiments of the present invention will now be described in detail with reference to the accompanying drawings, but it should be understood that the scope of protection of the present invention is not limited to the specific embodiments.

[0031] Unless otherwise expressly stated, throughout the specification and claims, the term "comprising" or its variations such as "including" or "comprises" shall be understood to include the stated elements or components without excluding other elements or other components.

[0032] Figure 1 This is a schematic flowchart illustrating an on-orbit method for determining the spectral response function of a hyperspectral remote sensor according to an embodiment of the present invention. Figure 1 As shown, in a first aspect, according to a preferred embodiment of the present invention, an on-orbit method for determining the spectral response function of a hyperspectral remote sensor, based on the solar reflection band (250nm to 2500nm), the method includes: step S1, obtaining a set of multiple linear regression equations based on multiple sets of input light sources; and step S2, performing least squares calculation on the set of multiple linear regression equations to regress and obtain the pixel-by-pixel spectral response function of the remote sensor.

[0033] In one embodiment of the present invention, obtaining the multiple sets of input light sources specifically involves interfering with the solar spectrum to obtain multiple sets of input light sources, and the multiple sets of input light sources are known and independent of each other.

[0034] In one embodiment of the present invention, there are four ways to intervene in the solar spectrum to obtain the multiple sets of input light sources: (1) by adding a color filter, (2) by reflecting light through a color reference plate, (3) by observing atmospheric scattered light, and (4) by changing the distribution of the solar spectrum.

[0035] In one embodiment of the present invention, the system of multiple linear regression equations is specifically shown in equation (1):

[0036]

[0037] Where X represents different input light sources, x represents the specific radiance of a light source at a certain spectral position of a certain group of light sources, n represents the number of mutually independent light sources, and p represents the number of spectra.

[0038] In one embodiment of the present invention, the least squares method calculation is specifically shown in equation (2):

[0039] Y = XB + ε (2);

[0040] Where the independent variable X represents different input light sources, and the dependent variable Y = (y1, y2, ..., y...) n )′ is the output count value after convolving multiple sets of uncorrelated spectra with the spectral response function of the remote sensor, B=(b0,b1,…,b p )′ represents the spectral response function, ε=(ε1,ε2,…,ε n )′ represents the effect of random factors in the experiment on the dependent variable.

[0041] In one embodiment of the present invention, the multiple sets of input light sources are independent of each other.

[0042] In one embodiment of the present invention, p ≥ 3 or p ≥ 10 in formula (1).

[0043] In one embodiment of the present invention, the solar spectrum is interfered with by adding color filters to obtain multiple sets of input light sources. Specifically, the solar spectrum is refracted by filters of different colors to generate multiple sets of unrelated input light sources.

[0044] In one embodiment of the present invention, the solar spectrum is interfered with by reflection through a colored reference plate to obtain multiple sets of input light sources. Specifically, the solar spectrum is reflected by reference plates of different colors to generate multiple sets of unrelated input light sources.

[0045] In one embodiment of the present invention, the method of interfering with the solar spectrum by observing atmospheric scattered light and obtaining multiple sets of input light sources specifically involves generating multiple sets of uncorrelated input light sources after the solar spectrum is scattered by the atmosphere under different conditions.

[0046] In one embodiment of the present invention, the solar spectrum is intervened by changing the solar spectral distribution to obtain multiple sets of input light sources. Specifically, multiple sets of uncorrelated input light sources are generated by shifting the solar spectrum in the spectral dimension of the detector using a scanning mirror, and the shifting step size is 0.1 to 1 times the spectral resolution of the detector.

[0047] Secondly, according to a preferred embodiment of the present invention, an on-orbit determination system for the spectral response function of a hyperspectral remote sensor is applied to the aforementioned on-orbit determination method for the spectral response function of a hyperspectral remote sensor. The system includes an acquisition module and a calculation module. The acquisition module acquires multiple sets of input light sources to obtain a system of multiple linear regression equations. The calculation module calculates the system of multiple linear regression equations using the least squares method to obtain the pixel-by-pixel spectral response function of the remote sensor. Specifically, acquiring the multiple sets of input light sources involves interfering with the solar spectrum to obtain multiple sets of input light sources, and these multiple sets of input light sources are known and mutually uncorrelated.

[0048] Thirdly, embodiments of the present invention also provide a storage medium storing computer-executable instructions for executing the above-described method for determining the spectral response function of a hyperspectral remote sensor in orbit.

[0049] The storage medium can be any available medium or data storage device that can be accessed by a computer, including but not limited to magnetic storage (e.g., floppy disk, hard disk, magnetic tape, magneto-optical disk (MO)), optical storage (e.g., CD, DVD, BD, HVD), and semiconductor storage (e.g., ROM, EPROM, EEPROM, non-volatile memory (NAND FLASH), solid-state drive (SSD)).

[0050] Figure 4 This is a schematic diagram of an electronic device for an on-orbit determination method of the spectral response function of a hyperspectral remote sensor according to an embodiment of the present invention. Figure 4 As shown, in a fourth aspect, embodiments of the present invention also provide an electronic device. The electronic device 1100 may be a host server with computing capabilities, a personal computer (PC), or a portable computer or terminal, etc. Specific embodiments of the present invention do not limit the specific implementation of the electronic device.

[0051] The electronic device 1100 includes at least one processor 1110, a communications interface 1120, a memory array 1130, and a bus 1140. The processor 1110, the communications interface 1120, and the memory 1130 communicate with each other via the bus 1140.

[0052] The communication interface 1120 is used to communicate with network elements, including, for example, virtual machine management centers and shared storage.

[0053] Processor 1110 is used to execute programs. Processor 1110 may be a central processing unit (CPU), an application-specific integrated circuit (ASIC), or one or more integrated circuits configured to implement embodiments of the present invention.

[0054] Memory 1130 is used for executable instructions. Memory 1130 may include high-speed RAM memory and may also include non-volatile memory, such as at least one disk storage device. Memory 1130 may also be a memory array. Memory 1130 may also be divided into blocks, and the blocks may be combined into virtual volumes according to certain rules. The instructions stored in memory 1130 can be executed by processor 1110 to enable processor 1110 to perform the on-orbit determination method of the spectral response function of the hyperspectral remote sensor in any of the above method embodiments.

[0055] In practical applications, the on-orbit determination method and system for the spectral response function of a hyperspectral remote sensor, as described in this invention, differs from tunable lasers which require tens of thousands of spectral scans. This invention utilizes the solar spectrum with dense characteristic spectral lines across the entire wavelength band (on-board measurement of the solar spectrum with abundant characteristic spectral lines allows for a single measurement across all wavelength bands). Interference with this spectrum yields multiple sets of uncorrelated light sources, enabling the acquisition of hyperspectral information for the entire wavelength band in each measurement set. Only a few dozen observations are needed to regress the fine spectral structure of the pixel-by-pixel spectral response function. This invention solves the problem of the availability of on-orbit hyperspectral response function observations and shortens the observation cycle of hyperspectral response functions from months or even years to minutes, significantly improving the measurement efficiency of existing spectral response functions. The measurement system required to implement this method has a simple structure, is suitable for implementation on a satellite platform, and is also applicable to channel-type remote sensors with medium spectral resolution.

[0056] The key to this invention is to intervene in sunlight to generate multiple sets of uncorrelated input light sources, resulting in a system of multiple linear regression equations. By performing least squares calculations, the pixel-by-pixel spectral response function of the remote sensor can be obtained.

[0057]

[0058] Y = XB + ε

[0059] In the above formula, the independent variable X represents different input light sources, and the dependent variable Y = (y1, y2, ..., y...). n )′ is the output count value after convolving multiple sets of uncorrelated spectra with the spectral response function of the remote sensor, B=(b0,b1,…,b p )′ represents the spectral response function, ε=(ε1,ε2,…,ε n )′ represents the influence of random factors on the dependent variable in the experiment. The larger the value of p in the formula, the more detailed the characterization of the spectral shape of the spectral response function. If a Gaussian function is used to fit a spectral response function, then p≥3 is sufficient. To obtain a more refined spectral structure, p≥10 is required. To obtain the ideal least-squares regression coefficient spectral response function, n≥p is required. It is important to note that the X-ray spectra obtained by interfering with the solar spectrum must be pairwise uncorrelated; simply changing the intensity of the solar spectrum proportionally will not yield effective coefficients.

[0060] Regardless of how the spectral range of the remote sensor varies within the solar reflection band, this method requires only a few dozen sets of observations to obtain the pixel-by-pixel spectral response function, and the spectral response function at each point can be regressed to obtain a fine spectral structure.

[0061] The key to this invention is to manipulate the solar spectrum to obtain multiple known and independent input light sources. At the same observation time, the sun has only one energy level. To meet the need for multiple light sources, multiple light sources can be obtained by adding color filters, reflecting light through a color reference plate, observing atmospheric scattered light, and altering the solar spectral distribution. However, filters carry the risk of on-orbit spectral distortion that is difficult to monitor, and atmospheric scattering requires calculations considering atmospheric radiative transfer, resulting in too many uncertainties. Therefore, this invention primarily uses two methods: altering the characteristic spectral distribution of the sun and using a color reference plate.

[0062] Figure 2 This is a schematic diagram illustrating the effect of regressing the spectral response function after changing the solar spectral distribution, using an on-orbit determination method for the spectral response function of a hyperspectral remote sensor according to an embodiment of the present invention. Figure 2 As shown, the method to change the spectral distribution of the solar characteristic spectrum involves adding an onboard scanning mirror to cause multiple shifts of the light source in the detector's spectral dimension. A Gaussian distribution function generated with a center wavelength of 500 nm and FWHM = 0.6 nm is used as the basic spectral response function (thick black lines and dots). Randomly generated spectral response functions after on-orbit variations are represented by dark gray solid dots. Forty-one sets of uncorrelated input light sources were generated by successively shifting the solar spectrum by 0.1 nm. The regressed spectral response functions are represented by gray triangular dots. The results show that the regression yielded a spectral shape that closely approximates the true value (dark gray solid dots), proving the feasibility of this invention.

[0063] Figure 3 This is a schematic diagram illustrating the effect of spectral response function regression after passing through a color reference plate, using an on-orbit determination method for the spectral response function of a hyperspectral remote sensor according to an embodiment of the present invention. Figure 3 As shown, this scheme does not alter the spectral distribution of the solar light source, but uses multiple colored reference plates to reflect sunlight to obtain uncorrelated light sources. The manufacturing technology of aerospace-grade colored reference plates is quite mature both domestically and internationally. Taking Labsphere's colored reference plate as an example, a trigonometric function generated with a center wavelength of 500nm and FWHM = 0.6nm is used as the original spectral shape (black lines with dots). Randomly added spectral shifts and broadening generate varying spectral response functions (dark gray lines with triangles, covered). After the solar spectrum is reflected by reference plates of different colors, three sets of uncorrelated incident light sources are generated. The regressed spectral response functions are represented by solid gray lines. The results show that the regressed values ​​completely coincide with the simulated values, proving the feasibility of this invention.

[0064] In summary, the on-orbit determination method for the spectral response function of a hyperspectral remote sensor, as presented in this invention, solves the problem of whether or not on-orbit spectral response function observations of hyperspectral remote sensors are possible. Simultaneously, it shortens the observation cycle from months or even years to minutes, thereby improving the accuracy of satellite-based monitoring of global greenhouse gases, environmental pollutants, aerosols, and other atmospheric components. This contributes to the high-quality development of national undertakings such as climate research, environmental protection, and low-carbon emission reduction. Regardless of how the spectral range of the remote sensor varies within the solar reflection band, this method requires only a few dozen sets of observations to obtain the pixel-by-pixel spectral response function, and the spectral response function at each point can be regressed to obtain a fine spectral structure.

[0065] The foregoing description of specific exemplary embodiments of the invention is for illustrative and explanatory purposes. These descriptions are not intended to limit the invention to the precise forms disclosed, and it will be apparent that many changes and variations can be made in accordance with the foregoing teachings. The exemplary embodiments were chosen and described in order to explain the specific principles of the invention and its practical application, thereby enabling those skilled in the art to implement and utilize various different exemplary embodiments of the invention, as well as various different choices and variations. The scope of the invention is intended to be defined by the claims and their equivalents.

Claims

1. An on-orbit method for determining the spectral response function of a hyperspectral remote sensor, based on the solar reflection band, characterized in that, The on-orbit determination method for the spectral response function of the hyperspectral remote sensor includes: Step S1: Obtain multiple sets of input light sources to obtain a system of multiple linear regression equations; and Step S2: The least squares method is used to calculate the multivariate linear regression equations to obtain the spectral response function of the remote sensor for each pixel. Specifically, obtaining the multiple sets of input light sources involves interfering with the solar spectrum to obtain multiple sets of input light sources, wherein the multiple sets of input light sources are known and independent of each other.

2. The on-orbit determination method for the spectral response function of a hyperspectral remote sensor as described in claim 1, characterized in that, The multiple sets of input light sources are obtained by interfering with the solar spectrum through adding color filters, reflecting light through a color reference plate, observing atmospheric scattered light, and changing the distribution of the solar spectrum.

3. The on-orbit determination method for the spectral response function of a hyperspectral remote sensor as described in claim 2, characterized in that, The specific set of multiple linear regression equations is shown in equation (1): （1）； Where, the independent variable X represents different input light sources, x represents the specific radiance of a light source at a certain spectral position of a certain group of light sources, n represents the number of mutually independent light sources, and p represents the number of spectra. Wherein, p≥3 in the above formula (1).

4. The on-orbit determination method for the spectral response function of a hyperspectral remote sensor as described in claim 3, characterized in that, The least squares method calculation is specifically shown in equation (2): （2）； Among them, the dependent variable It is the output count value after convolving multiple sets of uncorrelated spectra with the spectral response function of a remote sensor. Represents the spectral response function. This indicates the effect of random factors on the dependent variable in the experiment.

5. The on-orbit determination method for the spectral response function of a hyperspectral remote sensor as described in claim 4, characterized in that, The method of interfering with the solar spectrum by changing the solar spectral distribution and obtaining the multiple sets of input light sources specifically involves generating multiple sets of uncorrelated input light sources by shifting the solar spectrum in the spectral dimensions of the detector using a scanning mirror, with the shifting step size being 0.1 to 1 times the spectral resolution of the detector.

6. The on-orbit determination method for the spectral response function of a hyperspectral remote sensor as described in claim 5, characterized in that, The process of interfering with the solar spectrum through reflection by the colored reference plates and obtaining the multiple sets of input light sources specifically involves the solar spectrum being reflected by reference plates of different colors to generate multiple sets of independent input light sources.

7. An on-orbit system for determining the spectral response function of a hyperspectral remote sensor, applied to the on-orbit determination method for the spectral response function of a hyperspectral remote sensor as described in claims 1 to 6, characterized in that, The on-orbit determination system for the spectral response function of the hyperspectral remote sensor includes: The acquisition module is used to acquire multiple sets of input light sources to obtain a system of multiple linear regression equations; and The calculation module is used to calculate the multivariate linear regression equations using the least squares method, thereby obtaining the spectral response function of the remote sensor for each pixel. Specifically, obtaining the multiple sets of input light sources involves interfering with the solar spectrum to obtain multiple sets of input light sources, and these multiple sets of input light sources are known and independent of each other.

8. A storage medium, characterized in that, The storage medium stores computer-executable instructions for executing the on-orbit determination method of the spectral response function of the hyperspectral remote sensor according to any one of claims 1-6.

9. An electronic device, characterized in that, include: At least one processor; as well as, A memory communicatively connected to the at least one processor; wherein, The memory stores instructions executable by the at least one processor, which, when executed by the at least one processor, enables the at least one processor to perform the on-orbit determination method for the spectral response function of the hyperspectral remote sensor according to any one of claims 1-6.

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