- Title
- An L0 norm based method for frequency estimation from irregularly sampled data
- Creator
- Hyder, Md Mashud; Mahata, Kaushik
- Relation
- 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2010). 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing: Proceedings (Dallas, TX 14-19 April, 2010) p. 4022-4025
- Publisher Link
- http://dx.doi.org/10.1109/ICASSP.2010.5495772
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2010
- Description
- We present a frequency estimation method based on a sparse representation of irregular samples with an overcomplete basis. We enforce sparsity by imposing penalties based on an approximate ℓ₀-norm. A number of recent theoretical results on compressed sensing justify this choice. Explicitly enforcing the sparsity of the representation is motivated by a desire to obtain a sharp estimate of the frequency spectrum that exhibits super-resolution. Our formulation leads to an optimization problem, which we solve efficiently in an iterative algorithm. The simulation results demonstrate that that the proposed algorithm outperforms several other state-of-art methods.
- Subject
- frequency estimation; spectral estimation,; time series; compressed sensing; sparse representation
- Identifier
- http://hdl.handle.net/1959.13/933235
- Identifier
- uon:11579
- Identifier
- ISBN:9781424442966
- Identifier
- ISSN:1520-6149
- Rights
- Copyright © 2010 IEEE. Reprinted from 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing: Proceedings. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Newcastle's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
- Language
- eng
- Full Text
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