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Efficient Sampling of Sparse Wideband Analog Signals

Mishali, Moshe and Eldar, Yonina C. and Tropp, Joel A. (2008) Efficient Sampling of Sparse Wideband Analog Signals. In: 2008 IEEE 25th Convention of Electrical and Electronics Engineers in Israel. IEEE , Piscataway, NJ, pp. 290-294. ISBN 978-1-4244-2481-8.

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Periodic nonuniform sampling is a known method to sample spectrally sparse signals below the Nyquist rate. This strategy relies on the implicit assumption that the individual samplers are exposed to the entire frequency range. This assumption becomes impractical for wideband sparse signals. The current paper proposes an alternative sampling stage that does not require a full-band front end. Instead, signals are captured with an analog front end that consists of a bank of multipliers and lowpass filters whose cutoff is much lower than the Nyquist rate. The problem of recovering the original signal from the low-rate samples can be studied within the framework of compressive sampling. An appropriate parameter selection ensures that the samples uniquely determine the analog input. Moreover, the analog input can be stably reconstructed with digital algorithms. Numerical experiments support the theoretical analysis.

Item Type:Book Section
Related URLs:
URLURL TypeDescription Paper
Tropp, Joel A.0000-0003-1024-1791
Additional Information:© 2008 IEEE. This work was supported in part by the Israel Science Foundation under Grant no. 1081/07 and by the European Commission in the framework of the FP7 Network of Excellence in Wireless COMmunications NEWCOM++ (contract no. 216715). JAT was supported in part by DARPA and ONR. This work has been submitted to the IEEE for possible publication. Copyright may be transferred without notice, after which this version may no longer be accessible.
Funding AgencyGrant Number
Israel Science Foundation1081/07
European Research Council (ERC)216715
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Office of Naval Research (ONR)UNSPECIFIED
Subject Keywords:Analog to digital conversion, compressive sampling, infinite measurement vectors (IMV), multiband sampling
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Other Numbering System NameOther Numbering System ID
CCIT Report705
Record Number:CaltechAUTHORS:20180831-112113124
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Official Citation:M. Mishali, Y. C. Eldar and J. A. Tropp, "Efficient sampling of sparse wideband analog signals," 2008 IEEE 25th Convention of Electrical and Electronics Engineers in Israel, Eilat, 2008, pp. 290-294. doi: 10.1109/EEEI.2008.4736707
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:89331
Deposited By: George Porter
Deposited On:04 Sep 2018 15:12
Last Modified:16 Nov 2021 00:34

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