An Achievable Measurement Rate-MSE Tradeoff in Compressive Sensing Through Partial Support Recovery
2013 (English)In: 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), New York: IEEE , 2013, 6426-6430 p.Conference paper (Refereed)
For compressive sensing, we derive achievable performance guarantees for recovering partial support sets of sparse vectors. The guarantees are determined in terms of the fraction of signal power to be detected and the measurement rate, defined as a relation between the dimensions of the measurement matrix. Based on this result we derive a tradeoff between the measurement rate and the mean square error, and illustrate it by a numerical example.
Place, publisher, year, edition, pages
New York: IEEE , 2013. 6426-6430 p.
, IEEE International Conference on Acoustics, Speech and Signal Processing. Proceedings, ISSN 1520-6149
Compressive sensing, MSE, performance tradeoff, sparse signal, support recovery
IdentifiersURN: urn:nbn:se:kth:diva-118942DOI: 10.1109/ICASSP.2013.6638903ISI: 000329611506118ScopusID: 2-s2.0-84890453246ISBN: 978-1-4799-0356-6OAI: oai:DiVA.org:kth-118942DiVA: diva2:609163
International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Vancouver, Canada, May 26 - 31, 2013
FunderEU, FP7, Seventh Framework Programme, 257626
QC 201307102013-03-042013-03-042014-02-21Bibliographically approved