Title
Compressive Power Spectral Density Estimation
Abstract
In this paper, we consider power spectral density estimation of bandlimited, wide-sense stationary signals from sub-Nyquist sampled data. This problem has recently received attention from within the emerging field of cognitive radio for example, and solutions have been proposed that use ideas from compressed sensing and the theory of digital alias-free signal processing. Here we develop a compressed sensing based technique that employs multi-coset sampling and produces multi-resolution power spectral estimates at arbitrarily low average sampling rates. The technique applies to spectrally sparse and nonsparse signals alike, but we show that when the wide-sense stationary signal is spectrally sparse, compressed sensing is able to enhance the estimator. The estimator does not require signal reconstruction and can be directly obtained from a straightforward application of nonnegative least squares.
Year
DOI
Venue
2011
10.1109/ICASSP.2011.5947200
2011 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING
Keywords
Field
DocType
power spectral density estimation, multi-coset sampling, compressed sensing, nonnegative least squares
Least squares,Signal processing,Mathematical optimization,Bandlimiting,Pattern recognition,Computer science,Spectral density,Bandwidth (signal processing),Artificial intelligence,Signal reconstruction,Compressed sensing,Estimator
Conference
ISSN
Citations 
PageRank 
1520-6149
37
1.45
References 
Authors
10
4
Name
Order
Citations
PageRank
Michael A. Lexa1737.38
Mike E. Davies21664120.39
J. Thompson33922267.43
Janosch Nikolic42259.19