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