- Title
- Spectrum estimation, notch filters, and MUSIC
- Creator
- Mahata, Kaushik
- Relation
- IEEE Transactions on Signal Processing Vol. 53, no. 10, p. 3727-3737
- Publisher
- Institute of Electrical and Electronics Engineers
- Resource Type
- journal article
- Date
- 2005
- Description
- A novel extension of the Multiple Signal Classification (MUSIC) algorithm for the frequency estimation problem is proposed in this work. It is shown that the MUSIC algorithm is a data-dependent optimum notch filter design technique. When the input data are passed through this optimum notch filter, the signal-to-noise ratio (SNR) of the output is minimized. The zeros of the optimum notch filter are then used to estimate the frequencies. In the classical MUSIC algorithm, this optimization is carried out over the set of all finite impulse response (FIR) filters having a fixed order. The framework of this paper allows the use of rational notch filters. The fact that the rational filters have sharper spectral characteristics is used to obtain improved estimates, particularly at low SNR. Some interesting properties of the proposed algorithm are derived, and further perspectives on the implementation aspects are provided. The analytical predictions are substantiated using numerical simulation results.
- Subject
- frequency estimation; MUSIC; rational notch filters; subspace algorithms; selective harmonic amplification; constrained poles; performance; analysis; retrieval problem; parameters; sinusoids; noise; zeros; algorithm; esprit
- Identifier
- http://hdl.handle.net/1959.13/25398
- Identifier
- uon:367
- Identifier
- ISSN:1053-587X
- Rights
- Copyright © 2005 IEEE. Reprinted from IEEE Transactions on Signal Processing, 53, 10, 3727-3737. 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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