Faster than Nyquist but Slower than Tropp et al

Details Faster than Nyquist but Slower than Tropp et al Faster than Nyquist but Slower than Tropp et al

2012-04-04

arxiv.org/abs/1204.0839v1

Computer Science

Information Theory

Submitted for journal publication; 30 double-spaced pages and 18 figures

Scientific paper

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 integral 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 of the RD. 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.

Affiliated with

Also associated with

No associations

Rating

Faster than Nyquist but Slower than Tropp et al does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Faster than Nyquist but Slower than Tropp et al, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Faster than Nyquist but Slower than Tropp et al will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-31270