Estimation of the spatial and temporal frequencies of multiple sinusoids using a sparse linear array

Donald W. Tufts; Hongya Ge; R. Kumaresan

doi:10.1109/ACSSC.1994.471576

Estimation of the spatial and temporal frequencies of multiple sinusoids using a sparse linear array

Donald W. Tufts, Hongya Ge, R. Kumaresan

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, we extend our previous sparse linear prediction (SLP) method [1,2,3] for two-dimensional (2-D) applications. The temporal and spatial frequencies of multiple sinusoids are simultaneously estimated in pairs, rather than separately, from the outputs of a sparse linear array. Possible ambiguities due to the large interelement spacings can be resolved by properly choosing the interelement spacings and by incorporating different SLP polynomials, the coefficients of which can be calculated in parallel. The temporal and spatial frequencies are simultaneously estimated from the minima of a 2-D objective function, which can be calculated using a 2-D DFT of the properly mapped 2-D SLP coefficient matrix.

Original language	English (US)
Title of host publication	Conference Record - 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994
Publisher	IEEE Computer Society
Pages	821-825
Number of pages	5
ISBN (Electronic)	0818664053
DOIs	https://doi.org/10.1109/ACSSC.1994.471576
State	Published - 1994
Externally published	Yes
Event	28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994 - Pacific Grove, United States Duration: Oct 31 1994 → Nov 2 1994

Publication series

Name	Conference Record - Asilomar Conference on Signals, Systems and Computers
Volume	2
ISSN (Print)	1058-6393

Conference

Conference	28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994
Country/Territory	United States
City	Pacific Grove
Period	10/31/94 → 11/2/94

All Science Journal Classification (ASJC) codes

Signal Processing
Computer Networks and Communications

Access to Document

10.1109/ACSSC.1994.471576

Cite this

Tufts, D. W., Ge, H., & Kumaresan, R. (1994). Estimation of the spatial and temporal frequencies of multiple sinusoids using a sparse linear array. In Conference Record - 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994 (pp. 821-825). Article 471576 (Conference Record - Asilomar Conference on Signals, Systems and Computers; Vol. 2). IEEE Computer Society. https://doi.org/10.1109/ACSSC.1994.471576

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abstract = "In this paper, we extend our previous sparse linear prediction (SLP) method [1,2,3] for two-dimensional (2-D) applications. The temporal and spatial frequencies of multiple sinusoids are simultaneously estimated in pairs, rather than separately, from the outputs of a sparse linear array. Possible ambiguities due to the large interelement spacings can be resolved by properly choosing the interelement spacings and by incorporating different SLP polynomials, the coefficients of which can be calculated in parallel. The temporal and spatial frequencies are simultaneously estimated from the minima of a 2-D objective function, which can be calculated using a 2-D DFT of the properly mapped 2-D SLP coefficient matrix.",

author = "Tufts, {Donald W.} and Hongya Ge and R. Kumaresan",

note = "Publisher Copyright: {\textcopyright} 1995 IEEE.; 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994 ; Conference date: 31-10-1994 Through 02-11-1994",

year = "1994",

doi = "10.1109/ACSSC.1994.471576",

language = "English (US)",

series = "Conference Record - Asilomar Conference on Signals, Systems and Computers",

publisher = "IEEE Computer Society",

pages = "821--825",

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address = "United States",

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Tufts, DW, Ge, H & Kumaresan, R 1994, Estimation of the spatial and temporal frequencies of multiple sinusoids using a sparse linear array. in Conference Record - 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994., 471576, Conference Record - Asilomar Conference on Signals, Systems and Computers, vol. 2, IEEE Computer Society, pp. 821-825, 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994, Pacific Grove, United States, 10/31/94. https://doi.org/10.1109/ACSSC.1994.471576

Estimation of the spatial and temporal frequencies of multiple sinusoids using a sparse linear array. / Tufts, Donald W.; Ge, Hongya; Kumaresan, R.
Conference Record - 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994. IEEE Computer Society, 1994. p. 821-825 471576 (Conference Record - Asilomar Conference on Signals, Systems and Computers; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AB - In this paper, we extend our previous sparse linear prediction (SLP) method [1,2,3] for two-dimensional (2-D) applications. The temporal and spatial frequencies of multiple sinusoids are simultaneously estimated in pairs, rather than separately, from the outputs of a sparse linear array. Possible ambiguities due to the large interelement spacings can be resolved by properly choosing the interelement spacings and by incorporating different SLP polynomials, the coefficients of which can be calculated in parallel. The temporal and spatial frequencies are simultaneously estimated from the minima of a 2-D objective function, which can be calculated using a 2-D DFT of the properly mapped 2-D SLP coefficient matrix.

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Tufts DW, Ge H, Kumaresan R. Estimation of the spatial and temporal frequencies of multiple sinusoids using a sparse linear array. In Conference Record - 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994. IEEE Computer Society. 1994. p. 821-825. 471576. (Conference Record - Asilomar Conference on Signals, Systems and Computers). doi: 10.1109/ACSSC.1994.471576

Estimation of the spatial and temporal frequencies of multiple sinusoids using a sparse linear array

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