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A constrained random demodulator for sub-nyquist sampling

Publication ,  Journal Article
Harms, A; Bajwa, WU; Calderbank, R
Published in: IEEE Transactions on Signal Processing
February 1, 2013

This paper presents a significant modification to the Random Demodulator (RD) of Tropp et al. for sub-Nyquist sampling of frequency-sparse signals. The modification, termed constrained random demodulator, involves replacing the random waveform, essential to the operation of the RD, with a constrained random waveform that has limits on its switching rate because fast switching waveforms may be hard to generate cleanly. The result is a relaxation on the hardware requirements with a slight, but manageable, decrease in the recovery guarantees. The paper also establishes the importance of properly choosing the statistics of the constrained random waveform. If the power spectrum of the random waveform matches the distribution on the tones of the input signal (i.e., the distribution is proportional to the power spectrum), then recovery of the input signal tones is improved. The theoretical guarantees provided in the paper are validated through extensive numerical simulations and phase transition plots.© 2012 IEEE.

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Published In

IEEE Transactions on Signal Processing

DOI

ISSN

1053-587X

Publication Date

February 1, 2013

Volume

61

Issue

3

Start / End Page

707 / 723

Related Subject Headings

  • Networking & Telecommunications
 

Citation

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Harms, A., Bajwa, W. U., & Calderbank, R. (2013). A constrained random demodulator for sub-nyquist sampling. IEEE Transactions on Signal Processing, 61(3), 707–723. https://doi.org/10.1109/TSP.2012.2231077
Harms, A., W. U. Bajwa, and R. Calderbank. “A constrained random demodulator for sub-nyquist sampling.” IEEE Transactions on Signal Processing 61, no. 3 (February 1, 2013): 707–23. https://doi.org/10.1109/TSP.2012.2231077.
Harms A, Bajwa WU, Calderbank R. A constrained random demodulator for sub-nyquist sampling. IEEE Transactions on Signal Processing. 2013 Feb 1;61(3):707–23.
Harms, A., et al. “A constrained random demodulator for sub-nyquist sampling.” IEEE Transactions on Signal Processing, vol. 61, no. 3, Feb. 2013, pp. 707–23. Scopus, doi:10.1109/TSP.2012.2231077.
Harms A, Bajwa WU, Calderbank R. A constrained random demodulator for sub-nyquist sampling. IEEE Transactions on Signal Processing. 2013 Feb 1;61(3):707–723.

Published In

IEEE Transactions on Signal Processing

DOI

ISSN

1053-587X

Publication Date

February 1, 2013

Volume

61

Issue

3

Start / End Page

707 / 723

Related Subject Headings

  • Networking & Telecommunications