Synthetic Aperture Hitchhiker Imaging

We introduce a novel synthetic-aperture imaging method for radar systems that relies on sources of opportunity. We consider receivers that fly along arbitrary, but known, flight trajectories and develop a spatio-temporal correlation-based filtered-backprojection-type image reconstruction method. The method involves first correlating the measurements from two different receiver locations. This leads to a forward model where the radiance of the target scene is projected onto the intersection of certain hyperboloids with the surface topography. We next use microlocal techniques to develop a filtered-backprojection-type inversion method to recover the scene radiance. The method is applicable to both stationary and mobile, and cooperative and noncooperative sources of opportunity. Additionally, it is applicable to nonideal imaging scenarios such as those involving arbitrary flight trajectories, and has the desirable property of preserving the visible edges of the scene radiance. We present an analysis of the computational complexity of the image reconstruction method and demonstrate its performance in numerical simulations for single and multiple transmitters of opportunity.

[1]  M. Cherniakov,et al.  Space surface bistatic SAR with space-borne non-cooperative transmitters , 2005, European Radar Conference, 2005. EURAD 2005..

[2]  M. Cheney,et al.  Synthetic aperture inversion , 2002 .

[3]  R. Bonneau,et al.  A rate distortion method for waveform design in RF target detection , 2006, 2006 IEEE Aerospace Conference.

[4]  P. E. Howland,et al.  FM radio based bistatic radar , 2005 .

[5]  Jerrold E. Marsden,et al.  Review: Victor Guillemin and Shlomo Sternberg, Geometric asymptotics, and Nolan R. Wallach, Symplectic geometry and Fourier analysis , 1979 .

[6]  Kurt Kubik,et al.  Passive bistatic radar sensing with LEOS based transmitters , 2002, IEEE International Geoscience and Remote Sensing Symposium.

[7]  B. D. Steinberg,et al.  Self-cohering large antenna arrays using the spatial correlation properties of radar clutter , 1989 .

[8]  M. B. Kanevsky,et al.  Synthetic aperture radar , 2009 .

[9]  Stephen J. Norton,et al.  Backprojection reconstruction of random source distributions , 1987 .

[10]  H. Griffiths,et al.  Passive coherent location radar systems. Part 1: performance prediction , 2005 .

[11]  Frank Natterer,et al.  Mathematical methods in image reconstruction , 2001, SIAM monographs on mathematical modeling and computation.

[12]  C. Mikhail,et al.  Radar sensors based on communication low Earth orbiting satellites microwave emission , 2000, IGARSS 2000. IEEE 2000 International Geoscience and Remote Sensing Symposium. Taking the Pulse of the Planet: The Role of Remote Sensing in Managing the Environment. Proceedings (Cat. No.00CH37120).

[13]  Hongbo Sun,et al.  Passive radar using Global System for Mobile communication signal: theory, implementation and measurements , 2005 .

[14]  R. Courant,et al.  Introduction to Calculus and Analysis , 1991 .

[15]  G. Papanicolaou,et al.  Interferometric array imaging in clutter , 2005 .

[16]  Margaret Cheney,et al.  Synthetic aperture inversion for arbitrary flight paths and nonflat topography , 2003, IEEE Trans. Image Process..

[17]  H. Griffiths,et al.  Bistatic radar using satellite-borne illuminators of opportunity , 1992 .

[18]  Alan J. Witten,et al.  Passive imaging of underground acoustic sources , 2006 .

[19]  Harrison H. Barrett,et al.  Foundations of Image Science , 2003, J. Electronic Imaging.

[20]  Stephen J. Norton,et al.  Time exposure acoustics , 2000, IEEE Trans. Geosci. Remote. Sens..

[21]  François Treves,et al.  Introduction to Pseudodifferential and Fourier Integral Operators , 1980 .

[22]  H. Griffiths,et al.  Television-based bistatic radar , 1986 .

[23]  Can Evren Yarman,et al.  Bistatic Synthetic Aperture Radar Imaging for Arbitrary Flight Trajectories and Non-flat Topography , 2007, 2007 IEEE Radar Conference.

[24]  Mikhail Cherniakov,et al.  Signal detectability in SS-BSAR with GNSS non-cooperative transmitter , 2005 .

[25]  Eric Todd Quinto,et al.  Singularities of the X-ray transform and limited data tomography , 1993 .

[26]  C. Mikhail,et al.  Bistatic synthetic aperture radar with non-cooperative LEOS based transmitter , 2000, IGARSS 2000. IEEE 2000 International Geoscience and Remote Sensing Symposium. Taking the Pulse of the Planet: The Role of Remote Sensing in Managing the Environment. Proceedings (Cat. No.00CH37120).

[27]  D. Poullin Passive detection using digital broadcasters (DAB, DVB) with COFDM modulation , 2005 .

[28]  Can Evren Yarman,et al.  Synthetic-aperture inversion in the presence of noise and clutter , 2006 .

[29]  Akira Ishimaru,et al.  Experimental studies on circular SAR imaging in clutter using angular correlation function technique , 1999, IEEE Trans. Geosci. Remote. Sens..

[30]  Kees Wapenaar,et al.  Introduction to the supplement on seismic interferometry , 2006 .

[31]  N. Bleistein,et al.  Asymptotic Expansions of Integrals , 1975 .

[32]  Chris Baker,et al.  Passive coherent location radar systems. Part 2: waveform properties , 2005 .

[33]  Mehrdad Soumekh,et al.  Wide-bandwidth continuous-wave monostatic/bistatic synthetic aperture radar imaging , 1998, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269).

[34]  A. M. Horne,et al.  Bistatic synthetic aperture radar , 2002, RADAR 2002.

[35]  Alain Grigis,et al.  Microlocal Analysis for Differential Operators: An Introduction , 1994 .

[36]  V. Koch,et al.  New approach to a multistatic passive radar sensor for air/space defense , 1995 .

[37]  Mathias Fink,et al.  Imaging of complex media with acoustic and seismic waves , 2002 .

[38]  Can Evren Yarman,et al.  Radar detection using sparsely distributed apertures in urban environment , 2007, SPIE Defense + Commercial Sensing.