Off-the-grid spectral compressed sensing with prior information

Kumar Vijay Mishra; Myung Cho; Anton Kruger; Weiyu Xu

doi:10.1109/ICASSP.2014.6853749

Back

Conference proceeding

Off-the-grid spectral compressed sensing with prior information

Kumar Vijay Mishra, Myung Cho, Anton Kruger and Weiyu Xu

2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.1010-1014

05/2014

DOI: 10.1109/ICASSP.2014.6853749

View Online

Abstract

Recent research in off-the-grid compressed sensing (CS) has demonstrated that, under certain conditions, one can successfully recover a spectrally sparse signal from a few time-domain samples even though the dictionary is continuous. In this paper, we extend off-the-grid CS to applications where some prior information about spectrally sparse signal is known. We specifically consider cases where a few contributing frequencies or poles, but not their amplitudes or phases, are known a priori. Our results show that equipping off-the-grid CS with the known-poles algorithm can increase the probability of recovering all the frequency components.

Atomic clocks

basis mismatch

Compressed sensing

Dictionaries

Estimation

Indexes

known poles

matrix completion

Minimization

Signal resolution

spectral estimation

Details

Title: Subtitle: Off-the-grid spectral compressed sensing with prior information
Creators: Kumar Vijay Mishra - University of Iowa
Myung Cho - University of Iowa
Anton Kruger - University of Iowa
Weiyu Xu - University of Iowa
Resource Type: Conference proceeding
Publication Details: 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.1010-1014
Publisher: IEEE
DOI: 10.1109/ICASSP.2014.6853749
ISSN: 1520-6149
eISSN: 2379-190X
Language: English
Date published: 05/2014
Academic Unit: Civil and Environmental Engineering; Electrical and Computer Engineering
Record Identifier: 9984197414102771

Metrics

35 Record Views