Fourier Array Imaging
The past forty years have seen a number of imaging modalities developed for radar, sonar, diagnostic medicine, geophysical and celestial exploration, and non-destructive testing. Now, for those involved in designing and developing information processing tools for these imaging systems, author Mehrdad Soumekh offers in-depth coverage of diverse issues such as physical and mathematical modeling of the problem, signal processing, reconstruction, analysis of resolution and system parameter constraints, hardware structure used for data acquisition, and the overall imaging system block diagram (signal flow-chart) indicating how the acquired data are processed to yield the final reconstructed image. Fourier Array Imaging introduces the spatial Doppler phenomenon in conjunction with the most primitive signal processing tools and systems used in array imaging; presents terminologies and tools for two-dimensional signal processing; treats specific array imaging systems via the unifying framework of spatial Doppler processing, including phased-array imaging, synthetic aperture array (SAR and ISAR) imaging, passive array imaging, and bistatic array imaging with emphasis on transmission imaging problems of diagnostic medicine and geophysical exploration; devotes coverage to the analysis of resolution anticipated in an imaging system and to the constraints that are instrumental for selecting parameters of an imaging system; describes some of the classical methods used for image formation in array imaging systems and relates them to the spatial Doppler-based imaging via certain approximations.
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PHASED ARRAY IMAGING
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algorithm aliasing amplitude function approximation array imaging systems array's bandwidth baseband beam beamforming bistatic imaging blind-velocity broadside Chapter chirp signal coordinates cross-range denote discrete Fourier transform Doppler shift echo imaging echoed signal estimate example F(kx,ky fast-time filtering finite FM-CW radar FM-CW SAR FM-CW signal Green's function harmonic imaging problems Imaging system geometry instantaneous frequency inverse problem ISAR ISAR data ISAR signature kx,ky linear lowpass measurements meters method moving target n-th target passive array phase function phased array plane wave point spread function polar pulsed signal radar signal radiation pattern reconstructed image rectangular pulse reflector rotating sampling constraints SAR imaging SAR signal Section shown in Figure sinc function slow-time spatial domain spatial Fourier transform spatial frequency coverage spatial frequency domain speed subaperture support band synthetic aperture array system model target function target region target scene temporal Fourier transform transmitted signal two-dimensional velocity wavenumber yields