The present invention relates to the field of synthetic aperture imaging systems, and more particularly to methods and apparatuses for compensating for a change of parameter in a synthetic aperture imaging system.
Synthetic aperture radar (SAR) imaging systems are widely used in aerial and space reconnaissance. Usually, an aircraft or a spacecraft is provided with a SAR imaging system which transmits radar pulses and collects radar echoes corresponding to the radar pulses reflected by an object to be imaged.
Due to the large amount of data generated by a SAR system, optical solutions have been developed for processing the SAR raw data. For example, the SAR raw data can be recorded on a photosensitive film, or an optical image of the SAR raw data can be generated using a light modulator. However, in such optical processing systems, the position of optical components has to be changed in order to compensate for parameters changes for the SAR imaging system, such as an altitude change for example. The requirement for moving the optical components reduces the sturdiness and viability for the optical SAR raw data processing system.
Therefore there is a need for an improved method and apparatus for compensating for a parameter change in a SAR imaging system.
In accordance with a first broad aspect, there is provided a method for processing data generated by a synthetic aperture imaging system, comprising: receiving raw data representative of electromagnetic signals reflected by a target area to be imaged; receiving a parameter change for the synthetic aperture imaging system; digitally correcting the raw data in accordance with the parameter change, thereby compensating for the parameter change in order to obtain corrected data; and generating an image of the target area using the corrected data.
In accordance with a second broad aspect, there is provided a system for generating a synthetic aperture image of a target area, comprising: a memory for storing raw data representative of electromagnetic signals reflected by said target area and a parameter change for said synthetic aperture imaging system; a raw data correcting module adapted to correct said raw data in accordance with said parameter change in order to compensate for said parameter change and obtain corrected data; and an image generator adapted to generate an image of said target area using said corrected data.
The SAR system mounted to the satellite 10 is provided with at least one emitting antenna for emitting the pulses 12. The emitting antenna can be used for detecting the radar echoes reflected by the ground. Alternatively, at least one receiving antenna different from the emitting antenna can be used for collecting the radar echoes.
A SAR image is generated by superposing a plurality of radar echoes within the range and azimuth of the SAR antenna footprint 16. The received echoes are converted into electrical signals which are referred to as SAR raw data. Alternatively, the electrical signals may be subsequently converted into digital data, which are also referred to as the SAR raw data. The SAR raw data is then processed to create the SAR image of the illuminated target area. A high resolution in the azimuth direction is achieved by applying SAR signal processing without requiring large antennas. The SAR signal processing allows synthesizing a large aperture antenna. SAR signal processing can be mathematically described as a correlation or a filtering process on all of the radar echoes received during an aperture time.
During operation of a SAR imaging system, at least one of the parameters of the SAR imaging system may vary. In order to generate an adequate image, a compensation for the parameter variation must be performed. Examples of SAR imaging system parameters which may vary comprise parameters of which a variation causes a Doppler shift, parameters of which a variation causes a variation of the Fresnel zone plate focal length, and the like. The Doppler shift refers to a shift of the Doppler centroid which is the center Doppler frequency or null of the Doppler spectrum as the radar beam sweeps past the target area. Because a graphical representation of SAR raw data can be thought of as an optical interference pattern, an interference pattern parameter can be defined. In the case of a stripmap SAR, a Fresnel zone plate may be defined and associated with SAR raw data, and the interference pattern parameter is a Fresnel zone plate focal length. For a spotlight SAR, a Fourier slice may be defined and associated with SAR raw data, and the interference pattern is a Fourier slice scale parameter. An example of a parameter of which a variation causes a Doppler shift is the squint angle which corresponds to the angle between the radar beam center and the normal to the flight path. Examples of a parameter of which a variation causes a variation of the interference pattern parameter, such as the Fresnel zone plate focal length or the Fourier slice scale parameter, are the pulse repetition frequency, the range sampling frequency, the slant range distance, and the like. The range sampling frequency or radar sampling frequency is defined as the number of pulses transmitted per second by the SAR system. The pulse repetition frequency is the frequency at which the SAR system samples the radar return signal (echo) from the ground. The slant range distance corresponds to the distance between the SAR radar system and the target area to be imaged.
In one embodiment, the SAR parameter change received at step 24 causes a variation of the interference pattern parameter, such as the Fresnel zone plate focal length for a stripmap SAR or the Fourier slice scale parameter for a spotlight SAR, for example. Such a parameter change can be a change of the pulse repetition frequency, the range sampling frequency, the slant range distance, or the like. In this case, step 26 of digitally correcting the SAR raw data comprises determining a scaling factor in accordance with the interference pattern parameter change and applying the scaling factor to the SAR raw data, thereby obtaining the corrected data. Applying a scaling vector to the SAR raw data can be thought of as applying a translation vector to the SAR raw data points. It should be understood that the value of the scaling factor and the translation vector may vary depending on the range and/or azimuth of the SAR raw data points.
The application of a scaling can be mathematically represented by the Equation 1:
ss(x,y)=A·dd(x,y) Eq. 1
where ss(x, y), A, and dd(x, y) respectively represent the SAR scaled data, the scaling vector, and the SAR raw data.
In one embodiment, a scaling factor corresponding to a translation along the azimuth axis is applied to the SAR raw data. In this case, the value of the scaling factor may vary as a function of the position along the range axis for the SAR data points. In another embodiment, a scaling factor corresponding to a translation along the range axis is applied to the SAR raw data. In this case, the value of the scaling factor may vary as a function of the position along the azimuth axis for the SAR data points. In a further embodiment, a scaling vector corresponding to a translation along both the azimuth and range axes is applied to the SAR raw data. If the scaling factor has the same value for both the azimuth and range axes such that the same translation vector is applied along both the azimuth and range axes, applying a scaling vector can be thought of as a zoom-in or a zoom-out. Alternatively, the value of the scaling vector may be different for the azimuth and the range axes.
In one embodiment, the variation of the interference pattern parameter, such as the Fresnel zone plate focal length for example, is first determined, and the value of the scaling factor is determined using the variation of the Fresnel zone plate focal length. In this case, the scaling factor in the azimuth and range axis is equal to the square root of the variation of the azimuth Fresnel zone plate focal length and the square root of the variation of the range Fresnel zone plate focal length, respectively.
In one embodiment, the scaling factor is determined in accordance with a database of empirical data previously stored in a memory. The empirical data contains scaling factor values as a function of the SAR parameter change value. Alternatively, the database of empirical data comprises values of interference pattern parameter variations, such as Fresnel zone plate focal length variations or variations for the Fourier slice scaling parameter for example, as a function of the SAR parameter change value and the scaling factor value is determined using the value for the Fresnel zone plate focal length variation.
In another embodiment, the scaling factor is determined from actual and nominal values for SAR parameters of the SAR system. A nominal SAR parameter value refers to the value that the corresponding SAR parameter should have according to the design of the SAR system. The scaling factor is calculated as the square root of the ratio of the current Fresnel zone plate focal length to the nominal Fresnel zone plate focal length. The scaling factor for the range and the azimuth direction is given by Equations 2 and 3, respectively:
where the Chirp Rate corresponds to the instantaneous rate of change of the frequency of the emitted signal, the Range Swath Number is the number of the range swath, and PRF is the pulse repetition frequency.
In another embodiment, the SAR parameter change received at step 24 causes a Doppler shift. Such a parameter change can be a change of the squint angle, a change of the eccentricity of the platform orbit, or the like. In one embodiment, SAR raw data can be represented by a complex function. In this case, step 26 of correcting the SAR raw data comprises determining a phase factor in accordance with the SAR parameter change and applying the phase factor to the complex function, thereby obtaining the corrected data. Alternatively, the Doppler shift induced by the SAR parameter change is determined and the phase factor is then determined using the Doppler shift. Any adequate method for determining the Doppler shift can be used. For example, if the SAR imaging system is provided with an adequate number of echo detectors, a Fourier transform of the SAR raw data may be performed. The Doppler shift can be determined from the Fourier transform by determining a shift of the center of the Fourier transform.
Applying the phase factor to the SAR raw data consists in multiplying the SAR raw data function ff(x, y) by an imaginary number exp[jφ], φ being the previously determined phase factor.
where gg(x, y), |ff(x, y)|, and jΦΦ(x, y) respectively represent the SAR corrected data function, the amplitude function of the SAR raw data, and the phase function of the SAR raw data.
In another embodiment, the SAR raw data is graphically represented by a SAR pattern such as the SAR pattern illustrated in
In one embodiment, the scaling factor and/or the column shift and/or the phase factor are determined using a database of empirical data. The database contains values for the scaling factor and/or the column shift and/or the phase factor as a function of SAR parameter change values, interference pattern parameter change values, such as azimuth and/or range Fresnel zone plate focal length values or Fourier slice scaling parameter values for example, and/or Doppler shift values.
In one embodiment, the Doppler shift is determined using an estimated Doppler centroid value. An estimation for the Doppler centroid is given by Equation 5:
where U is the planet's rotational velocity, Vg is the satellite's projected ground velocity, λradar is the radar wavelength, and θsg is the squint angle.
In one embodiment, step 28 of generating the SAR image using the corrected data comprises digitally generating the SAR image using the corrected digital data. Any adequate digital method for generating a SAR image using the corrected data can be used. Examples of adequate digital methods comprise the range/Doppler method, the wavenumber method, the chirp-scaling method, the plane-wave approximation method, and the like.
In another embodiment, step 28 of generating the SAR image using the corrected data comprises optically generating the SAR image using the corrected digital data. Any adequate optical methods for generating a SAR image using the corrected SAR data can be used. The SAR image is generated by creating an optical image of the SAR raw data and optically processing the image of the SAR raw data.
In one embodiment, the optical image of the SAR raw data is created using a light modulator such as a spatial light modulator (SLM) or a micro display. The light modulator comprises addressable pixels organized in rows along a first axis representing the azimuth and in columns along a second axis representing the range. The transmittance of each pixel of the light modulator is controlled in accordance with the amplitude and/or phase of the corresponding SAR corrected data value. A coherent light such as a laser light is generated and illuminates the light modulator. The incident laser light is modulated by the light modulator and an optical image of the SAR corrected data is generated at the output of the light modulator. The optical image of the SAR corrected data is then optically processed to reconstruct the SAR image of the target area. The reconstructed SAR image can be projected on a screen. Alternatively, an optical sensor such as a charge-coupled device (CCD) or a complementary metal-oxide-semiconductor (CMOS) sensor, for example, can be used to convert the optical SAR image of the target area into a digital SAR image of the target area which can be recorded in a memory or sent to a base station, for example.
In one embodiment, the SLM comprises two SLMs mapped one against the other. The transmittance of the pixels of the first SLM is set in accordance with the amplitude of the SAR raw data points and the transmittance of the pixels of the second SLM is set in accordance with the phase of the SAR raw data points, or vice versa.
In one embodiment, the SAR parameter change causes a variation of the interference pattern parameter, such as the Fresnel zone plate focal length or the Fourier slice scaling parameter for example. In this case, the SAR raw data correcting module 44 is adapted to determine a scaling factor in accordance with the parameter change and to apply the scaling factor to the SAR raw data in order to obtain the corrected SAR data. The scaling of the SAR raw data can be performed via memory addressing operations.
In another embodiment, the SAR parameter change causes a Doppler shift. In this case, the SAR raw data correcting module 44 is adapted to determine a phase factor and to apply the phase factor to the SAR raw data in accordance with the method described above.
Alternatively, the SAR raw data correcting module 44 can be adapted to generate a SAR digital pattern such as the one graphically represented in
In one embodiment, the SAR raw data correcting module 44 is adapted to compensate for changes of SAR parameters which cause a variation of the interference pattern parameter and for changes of SAR parameters which cause a Doppler shift. In this case, the SAR raw data correcting module 44 is adapted to determine the adequate correcting method using the SAR parameter type.
In one embodiment, the memory 42 comprises a database of empirical data which contains values for the scaling factor, the phase factor, and/or the azimuth shift as a function of values of the SAR parameter change, the interference pattern parameter such as the Fresnel zone plate focal length or the Fourier slice scaling parameter for example, and/or the Doppler shift.
In one embodiment, the SAR raw data processing system 40 is adapted to receive a value for the SAR parameter and the SAR raw data correcting module 44 is adapted to determine the value of the SAR parameter change using the received value of the SAR parameter and a reference SAR parameter value.
In one embodiment, the SAR image generator 46 comprises a processing unit adapted to digitally generate a SAR image of the target area using the corrected SAR data. In this case, the processing unit is configured for applying the adequate methods for digitally creating a SAR image described above. It should be understood that, when the SAR image generator 46 is a digital image generator, the SAR data correcting module 44 and the SAR image generator 46 can be embodied in a single module 48 comprising at least one processing unit configured for correcting the SAR raw data and generate a SAR image of the corrected SAR data.
In another embodiment, the SAR image generator 46 comprises a coherent light source, a pixel drive unit, a light modulator such as an SLM or a micro display, and an optical processor. Any adequate light modulator can be used. For example, the light modulator can be a liquid crystal display, a micro mirror SLM, an electro-optic SLM, a magneto-optic SLM, or the like. The pixel drive unit is adapted to control the transmittance of each addressable pixel of the light modulator. The pixel drive unit receives the corrected data in the form of a complex function or a SAR pattern from the SAR raw data correcting module 44 or the memory 42, and sets the transmittance of the addressable pixels of the light modulator in accordance with the SAR corrected data. The coherent light source emits a coherent light beam which illuminates the light modulator. The coherent light incident to the light modulator is modulated in accordance with the transmittance of the pixels and a modulated light corresponding to an image of the SAR corrected data is transmitted at the output of the light modulator. The modulated light then propagates through the optical processor which generates a reconstructed and corrected image of the target area. The image can be displayed on a screen. The SAR image generator can also be provided with an optical detector or sensor, such as a CCD or a CMOS sensor, for converting the optical reconstructed image of the target area into a digital image which can be saved in memory 42.
In one embodiment, the coherent light source comprises a spatial filter to improve the quality of the image. A polarizer may be provided between the light modulator and the coherent light source if the light modulator requires polarized light.
In one embodiment, the optical processor comprises at least one cylindrical lens to selectively focalize the azimuth or range field. The cylindrical lens can be used together with a spherical lens to provide focusing power in the azimuth or range direction. The cylindrical lens may also compensate for a chirp along the range direction and/or for a range phase factor along the azimuth direction.
In one embodiment in which the SAR image generator comprises a light detector, the optical processor can comprise at least one spherical lens for imaging the processed wave to the detector plane of the light detector.
While the present description refers to the compensation of a variation of Fresnel zone plate focal length for a stripmap SAR and the compensation of a variation of Fourier slice scale parameter for a spotlight SAR, it should be understood that the method and apparatus described above can be used for compensating for a variation of any interference pattern parameter for any type of SAR.
It should be understood that the method 20 and the system 40 can be used with interferometric SARs and non-interferometric SARs.
While the present description refers to a synthetic aperture radar, it should be understood that the methods, apparatuses, and systems described above can be applied to any adequate synthetic aperture imaging system. For example, the method 20 and the apparatus 40 can be used with a synthetic aperture SONAR (SAS), a synthetic aperture LIDAR, a synthetic aperture terahertz system, a synthetic aperture infrared system, or the like.
It should be noted that the present invention can be carried out as a method or can be embodied in a system or an apparatus. The embodiments of the invention described above are intended to be exemplary only. The scope of the invention is therefore intended to be limited solely by the scope of the appended claims.
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Number | Date | Country | |
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20180113207 A1 | Apr 2018 | US |
Number | Date | Country | |
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Parent | 12933005 | US | |
Child | 14927776 | US |