Faster than Nyquist, slower than Tropp

Andrew Harms, Waheed Uz Zaman Bajwa, Robert Calderbankz

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

The sampling rate of analog-to-digital converters is severely limited by underlying technological constraints. Recently, Tropp et al. proposed a new architecture, called a random demodulator (RD), that attempts to circumvent this limitation by sampling sparse, bandlimited signals at a rate much lower than the Nyquist rate. An integral part of this architecture is a random bi-polar modulating waveform (MW) that changes polarity at the Nyquist rate of the input signal. Technological constraints also limit how fast such a waveform can change polarity, so we propose an extension of the RD that uses a run-length limited MW which changes polarity at a slower rate. We call this extension a constrained random demodulator (CRD) and establish that it enjoys theoretical guarantees similar to the RD and that these guarantees are directly related to the power spectrum of the MW. Further, we put forth the notion of knowledge-enhanced CRD in the paper. Specifically, we show through simulations that matching the distribution of spectral energy of the input signal with the power spectrum of the MW results in the CRD performing better than the RD of Tropp et al.

Original languageEnglish (US)
Title of host publication2011 4th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2011
Pages345-348
Number of pages4
DOIs
StatePublished - Dec 1 2011
Event2011 4th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2011 - San Juan, Puerto Rico
Duration: Dec 13 2011Dec 16 2011

Publication series

Name2011 4th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2011

Other

Other2011 4th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2011
CountryPuerto Rico
CitySan Juan
Period12/13/1112/16/11

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications

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