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Advisor(s)
Abstract(s)
In this paper we propose a method based on
compressed sensing (CS) for estimating the spectrum of a signal
written as a linear combination of a small number of sinusoids.
In the case of finite-length signals, the Fourier coefficients are
not exactly sparse due to the leakage effect if the frequency is
not a multiple of the fundamental frequency; To overcome this
problem our algorithm transform the DFT basis into a frame
with a larger number of vectors, by inserting columns between
some of the initial ones. The algorithm applies Basis Pursuit
(BP) to estimate the sinusoids amplitude, phase and frequency.
Description
Keywords
Basis Pursuit compressive sensing spectral estimation sparse representations
Citation
Publisher
S. I. Ao and Craig Douglas and W. S. Grundfest and Jon Burgstone