Spectrum-blind minimum-rate sampling and reconstruction of multiband signals

Authors:
Ping Feng;Y. Bresler
Affiliations:
Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA;-
Venue:
ICASSP '96 Proceedings of the Acoustics, Speech, and Signal Processing, 1996. on Conference Proceedings., 1996 IEEE International Conference - Volume 03
Year:
1996

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Abstract

We propose a universal sampling pattern and corresponding reconstruction algorithms that guarantee well-conditioned reconstruction of all multiband signals with a given spectral occupancy bound without prior knowledge of the spectral support. It is shown that such a universal sampling pattern can asymptotically achieve the Nyquist-Landau (1957) minimal sampling rate. Also, the new design method replaces the nonaliasing or packability criterion for a reconstructive sampling pattern with a more lenient criterion, allowing reconstruction of signals aliased by sampling.