Reduction of ionospheric distortions for spaceborne synthetic aperture radar with the help of image registration

We propose a robust technique for reducing the ionospheric distortions in spaceborne synthetic aperture radar (SAR) images. It is based on probing the terrain on two distinct carrier frequencies. Compared to our previous work on the subject (Smith and Tsynkov 2011 SIAM J. Imaging Sciences 4 501–42), the increase in robustness is achieved by applying an area-based image registration algorithm to the two images obtained on two frequencies. This enables an accurate evaluation of the shift between the two images, which, in turn, translates into an accurate estimate of the total electron content and its along-track gradient in the ionosphere. These estimates allow one to correct the matched filter and thus improve the quality of the image. Moreover, for the analysis of SAR resolution in the current paper we take into account the Ohm conductivity in the ionosphere (in addition to its temporal dispersion), and also consider the true Kolmogorov spectrum of the ionospheric turbulence, as opposed to its approximate representation that we have used previously.

[1]  A. Chorin,et al.  Stochastic Tools in Mathematics and Science , 2005 .

[2]  Roberto Manduchi,et al.  Accuracy analysis for correlation-based image registration algorithms , 1993, 1993 IEEE International Symposium on Circuits and Systems.

[3]  Michael Eineder,et al.  Accuracy of differential shift estimation by correlation and split-bandwidth interferometry for wideband and delta-k SAR systems , 2005, IEEE Geoscience and Remote Sensing Letters.

[4]  Max Born,et al.  Principles of optics - electromagnetic theory of propagation, interference and diffraction of light (7. ed.) , 1999 .

[5]  Jun Liu,et al.  Ionospheric effects on SAR imaging: a numerical study , 2003, IEEE Trans. Geosci. Remote. Sens..

[6]  Charles V. Jakowatz,et al.  Phase gradient autofocus-a robust tool for high resolution SAR phase correction , 1994 .

[7]  Ernest K. Smith,et al.  Ionospheric effects on satellite land mobile systems , 2002 .

[8]  Karim E. Mattar,et al.  Influence of ionospheric electron density fluctuations on satellite radar interferometry , 2000 .

[9]  Howard A. Zebker,et al.  Ionospheric Artifacts in Simultaneous L-Band InSAR and GPS Observations , 2012, IEEE Transactions on Geoscience and Remote Sensing.

[10]  N. Hamano,et al.  Digital processing of synthetic aperture radar data , 1984 .

[11]  C. D. Kuglin,et al.  The phase correlation image alignment method , 1975 .

[12]  Sybil P. Parker,et al.  McGraw-Hill dictionary of scientific and technical terms , 1976 .

[13]  Ikram E. Abdou,et al.  Practical approach to the registration of multiple frames of video images , 1998, Electronic Imaging.

[14]  A. R. Paterson,et al.  Statistical Fluid Mechanics: Mechanics of Turbulence. Vol 2. A. S. Monin and A. M. Yaglom. MIT Press, Cambridge, Massachusetts. 1975. 874 pp. £25.00. , 1976, The Aeronautical Journal (1968).

[15]  Yu. A. Kravtsov,et al.  Principles of statistical radiophysics. 4. Wave propagation through random media. , 1989 .

[16]  Semyon Tsynkov,et al.  Dual Carrier Probing for Spaceborne SAR Imaging , 2011, SIAM J. Imaging Sci..

[17]  A. Ishimaru,et al.  Ionospheric effects on synthetic aperture radar at 100 MHz to 2 GHz , 1999 .

[18]  Franz J. Meyer,et al.  The Potential of Low-Frequency SAR Systems for Mapping Ionospheric TEC Distributions , 2006, IEEE Geoscience and Remote Sensing Letters.

[19]  刘春秀 Ionosphere tomography based on spaceborne SAR , 2007 .

[20]  David Small,et al.  Measurement of Ionospheric Faraday Rotation in Simulated and Real Spaceborne SAR Data , 2009, IEEE Transactions on Geoscience and Remote Sensing.

[21]  S. Tsynkov,et al.  A linearized inverse scattering problem for the polarized waves and anisotropic targets , 2012 .

[22]  Semyon Tsynkov,et al.  On SAR Imaging through the Earth's Ionosphere , 2009, SIAM J. Imaging Sci..

[23]  R. Albanese,et al.  Dielectric Response Data on Materials of Military Consequence , 2002 .

[24]  Kurt E. Oughstun Electromagnetic and Optical Pulse Propagation 2 , 2009 .

[25]  W. Brown Synthetic Aperture Radar , 1967, IEEE Transactions on Aerospace and Electronic Systems.

[26]  Franz J. Meyer,et al.  Ionospheric effects in SAR interferometry: An analysis and comparison of methods for their estimation , 2011, 2011 IEEE International Geoscience and Remote Sensing Symposium.

[27]  Semyon Tsynkov,et al.  A Theoretical Introduction to Numerical Analysis , 2006 .

[28]  D. P. Belcher,et al.  Theoretical limits on SAR imposed by the ionosphere , 2008 .

[29]  Shaun Quegan,et al.  Faraday rotation effects on L-band spaceborne SAR data , 2003, IEEE Trans. Geosci. Remote. Sens..

[30]  Xiaoqing Pi,et al.  Imaging ionospheric inhomogeneities using spaceborne synthetic aperture radar , 2011 .

[31]  John C. Curlander,et al.  Synthetic Aperture Radar: Systems and Signal Processing , 1991 .

[32]  Semyon Tsynkov,et al.  On the Use of Start-Stop Approximation for Spaceborne SAR Imaging , 2009, SIAM J. Imaging Sci..

[33]  B. Borden,et al.  Fundamentals of Radar Imaging , 2009 .

[34]  Jan Flusser,et al.  Image registration methods: a survey , 2003, Image Vis. Comput..

[35]  Paul S. Cannon,et al.  Effect of the ionosphere on defocusing of space‐based radars , 2009 .

[36]  Mark M. Wilde,et al.  The information-theoretic costs of simulating quantum measurements , 2012, ArXiv.

[37]  K. Mattar,et al.  Reducing ionospheric electron density errors in satellite radar interferometry applications , 2002 .

[38]  Boris Gnedenko,et al.  Theory of Probability , 1963 .

[39]  E. Pottier,et al.  Polarimetric Radar Imaging: From Basics to Applications , 2009 .

[40]  C. D. Kuglin,et al.  Map-Matching Techniques For Terminal Guidance Using Fourier Phase Information , 1979, Other Conferences.

[41]  Michael T. Orchard,et al.  A fast direct Fourier-based algorithm for subpixel registration of images , 2001, IEEE Trans. Geosci. Remote. Sens..

[42]  David Small,et al.  Measurement of Ionospheric TEC in Spaceborne SAR Data , 2010, IEEE Transactions on Geoscience and Remote Sensing.

[43]  Riccardo Lanari,et al.  Synthetic Aperture Radar Processing , 1999 .

[44]  Qi Tian,et al.  Algorithms for subpixel registration , 1986 .

[45]  Christopher Potter,et al.  Simulating the impacts of disturbances on forest carbon cycling in North America: processes, data, models, and challenges , 2011 .

[46]  Charles V. Jakowatz,et al.  Spotlight-Mode Synthetic Aperture Radar: A Signal Processing Approach , 1996 .

[47]  P H Eichel,et al.  Phase-gradient algorithm as an optimal estimator of the phase derivative. , 1989, Optics letters.

[48]  Margaret Cheney,et al.  A Mathematical Tutorial on Synthetic Aperture Radar , 2001, SIAM Rev..

[49]  Hassan Foroosh,et al.  Extension of phase correlation to subpixel registration , 2002, IEEE Trans. Image Process..

[50]  Manuel Guizar-Sicairos,et al.  Efficient subpixel image registration algorithms. , 2008, Optics letters.

[51]  Franz J. Meyer,et al.  Performance Requirements for Ionospheric Correction of Low-Frequency SAR Data , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[52]  Franz J. Meyer,et al.  Estimation and compensation of ionospheric delay for SAR interferometry , 2010, 2010 IEEE International Geoscience and Remote Sensing Symposium.

[53]  W. B. Gail,et al.  Effect of Faraday rotation on polarimetric SAR , 1998 .

[54]  P. Rosen,et al.  Measurement and mitigation of the ionosphere in L-band Interferometric SAR data , 2010, 2010 IEEE Radar Conference.

[55]  K. Jon Ranson,et al.  The proposed DESDynI mission - From science to implementation , 2011, 2011 IEEE RadarCon (RADAR).

[56]  Evgenii Mikhailovich Lifshitz,et al.  THE PROPAGATION OF ELECTROMAGNETIC WAVES , 1984 .

[57]  S. M. Rytov,et al.  Principles of statistical radiophysics , 1987 .

[58]  A. S. Monin,et al.  Statistical Fluid Mechanics: The Mechanics of Turbulence , 1998 .