The USC Andrew and Erna Viterbi School of Engineering USC Signal and Image Processing Institute USC Ming Hsieh Department of Electrical Engineering University of Southern California

Technical Report USC-SIPI-239

“Multiband Signal Reconstruction from Finite Samples”

by Xiang-Gen Xia, C.-C. Jay Kuo and Zhen Zhang

September 1993

The minimum mean-squared error (MMSE) estimator has been used to reconstruct a band-limited signal from its finite samples in a bounded interval and shown to have many nice properties. In this research, we consider a special class of band-limited 1-D and 2-D signals which have a multiband structure in the frequency domain, and propose a new reconstruction algorithm to exploit the multiband feature of the underlying signals. The concept of the critical value and region is introduced to measure the performance of a reconstruction algorithm. We show analytically that the new algorithm performs better than the MMSE estimator for band-limited/multiband signals in terms of the critical value and region measure. Finally, numerical examples of 1-D and 2-D signal reconstruction are given for performance comparison of various methods.

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