Multi-Channel Multi-Variate Equalizer Design

Authors:
Ravikiran Rajagopal;Lee Potter
Affiliations:
Department of Electrical Engineering, Ohio State University, Columbus, OH 43210;Department of Electrical Engineering, Ohio State University, Columbus, OH 43210
Venue:
Multidimensional Systems and Signal Processing
Year:
2003

Citing 3
Cited 1

Multidimensional Systems with Finite Support Behaviors: Signal Structure, Generation, and Detection

SIAM Journal on Control and Optimization
FIR perfect signal reconstruction from multiple convolutions: minimum deconvolver orders

IEEE Transactions on Signal Processing
Exact image deconvolution from multiple FIR blurs

IEEE Transactions on Image Processing

Generic invertibility of multidimensional FIR filter banks and MIMO systems

IEEE Transactions on Signal Processing

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Abstract

The polarimetric calibration of synthetic aperture radar (SAR) imagery requires the equalization of a multiple-input, multiple-output (MIMO) distortion system. For wide-band, wide-angle SAR systems, the distortion is frequency and angle dependent and can be accurately modelled as a two-dimensional finite impulse response (FIR) filter bank. This paper presents a design algorithm, using a Gröbner basis, to compute a FIR filter bank that exactly inverts the multi-channel distortion. The results presented for polynomial inversion of MIMO FIR systems hold for sampled data signals of arbitrary dimension.