Two-Dimensional Signal Deconvolution Using Multiple Sensors

We consider the two dimensional Analytic Bezout Equation (ABE) and investigate the properties of a particular solution, based on certain conditions imposed on the convolution kernels. We propose the use of approximate deconvolution kernels, prove compactness of their support, and discuss various design problems pertaining to the question of convergence of the proposed deconvolution kernels. We point out the fact that these approximate deconvolution kernels exhibit a strong asymmetry in the FT domain, and propose solutions to this problem. Simulation results are presented in order to demonstrate the gain in bandwidth, the asymmetry of the FT of the overall system, and the effectiveness of the proposed solutions to compensate for this asymmetry.