- Title
- Frequency estimation from arbitrary time samples
- Creator
- Mahata, Kaushik; Hyder, Md Mashud
- Relation
- ARC
- Relation
- IEEE Transactions on Signal Processing Vol. 64, Issue 21, p. 5634-5643
- Publisher Link
- http://dx.doi.org/10.1109/TSP.2016.2600507
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- journal article
- Date
- 2016
- Description
- We consider the problem of estimating the line spectrum of a signal from finitely many time domain samples. We present a gridless algorithm for solving the total variation minimization approach associated with this problem. Unlike the related previous results, our method does not require the sampling instants to lie on an uniform grid. The resulting algorithm is a semidefinite program, structurally similar to some of the existing methods. One key observation made in our analysis also allows us to develop a gridless version of the SPICE algorithm. The simulation results demonstrate the superiority of these in performance compared to other related methods.
- Subject
- total variation; Atomic norm; line spectrum; prolate spheroidal wave functions; sparse recovery
- Identifier
- http://hdl.handle.net/1959.13/1334877
- Identifier
- uon:27371
- Identifier
- ISSN:1053-587X
- Rights
- © 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
- Language
- eng
- Full Text
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