Sub-Nyquist sampling of multiband signals: Perfect reconstruction and bounds on aliasing error

Raman Venkataramani; Yoram Bresler

doi:10.1109/ICASSP.1998.681767

Sub-Nyquist sampling of multiband signals: Perfect reconstruction and bounds on aliasing error

Raman Venkataramani, Yoram Bresler

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We consider the problem of periodic nonuniform sampling of a multiband signal and its reconstruction from the samples. We derive the conditions for exact reconstruction and find an explicit reconstruction formula. Key features of this method are that the sampling rate can be made arbitrarily close to the minimum (Landau) rate and that it can handle classes of multiband signals that are not packable. We compute various bounds on the aliasing error due to mismodeling the spectral support and examine the performance in the presence of additive white sample noise. Finally we provide optimal designs for the reconstruction system.

Original language	English (US)
Title of host publication	Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998
Pages	1633-1636
Number of pages	4
DOIs	https://doi.org/10.1109/ICASSP.1998.681767
State	Published - 1998
Event	1998 23rd IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998 - Seattle, WA, United States Duration: May 12 1998 → May 15 1998

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	3
ISSN (Print)	1520-6149

Other

Other	1998 23rd IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998
Country/Territory	United States
City	Seattle, WA
Period	5/12/98 → 5/15/98

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

Online availability

10.1109/ICASSP.1998.681767

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Venkataramani, R., & Bresler, Y. (1998). Sub-Nyquist sampling of multiband signals: Perfect reconstruction and bounds on aliasing error. In Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998 (pp. 1633-1636). Article 681767 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 3). https://doi.org/10.1109/ICASSP.1998.681767

Sub-Nyquist sampling of multiband signals: Perfect reconstruction and bounds on aliasing error. / Venkataramani, Raman; Bresler, Yoram.
Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998. 1998. p. 1633-1636 681767 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Venkataramani, R & Bresler, Y 1998, Sub-Nyquist sampling of multiband signals: Perfect reconstruction and bounds on aliasing error. in Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998., 681767, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 3, pp. 1633-1636, 1998 23rd IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998, Seattle, WA, United States, 5/12/98. https://doi.org/10.1109/ICASSP.1998.681767

Venkataramani R, Bresler Y. Sub-Nyquist sampling of multiband signals: Perfect reconstruction and bounds on aliasing error. In Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998. 1998. p. 1633-1636. 681767. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.1998.681767

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Sub-Nyquist sampling of multiband signals: Perfect reconstruction and bounds on aliasing error

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