Robust Two-Dimensional Frequency Estimation by Using Higher Order Statistics

Yi CHU; Wen-Hsien FANG; Shun-Hsyung CHANG

Robust Two-Dimensional Frequency Estimation by Using Higher Order Statistics

Yi CHU, Wen-Hsien FANG, Shun-Hsyung CHANG

Full Text Views

0

Cite this

Summary :

This paper describes a new high resolution algorithm for the two-dimensional (2-D) frequency estimation problem, which, in particular, is noise insensitive in view of the fact that in many practical applications the contaminated noise may not be white noise. For this purpose, the approach is set in the context of higher-order statistics (HOS), which has demonstrated to be an effective approach under a colored noise environment. The algorithm begins with the consideration of the fourth-order moments of the available 2-D data. Two auxiliary matrices, constituted by a novel stacking of the diagonal slice of the computed fourth-order moments, are then introduced and through which the two frequency components can be precisely determined, respectively, via matrix factorizations along with the subspace rotational invariance (SRI) technique. Simulation results are also provided to verify the proposed algorithm.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E81-A No.6 pp.1216-1222

Publication Date: 1998/06/25

Publicized

Online ISSN

DOI

Type of Manuscript

Category: Digital Signal Processing

Cite this

Copy

Yi CHU, Wen-Hsien FANG, Shun-Hsyung CHANG, "Robust Two-Dimensional Frequency Estimation by Using Higher Order Statistics" in IEICE TRANSACTIONS on Fundamentals, vol. E81-A, no. 6, pp. 1216-1222, June 1998, doi: .
Abstract: This paper describes a new high resolution algorithm for the two-dimensional (2-D) frequency estimation problem, which, in particular, is noise insensitive in view of the fact that in many practical applications the contaminated noise may not be white noise. For this purpose, the approach is set in the context of higher-order statistics (HOS), which has demonstrated to be an effective approach under a colored noise environment. The algorithm begins with the consideration of the fourth-order moments of the available 2-D data. Two auxiliary matrices, constituted by a novel stacking of the diagonal slice of the computed fourth-order moments, are then introduced and through which the two frequency components can be precisely determined, respectively, via matrix factorizations along with the subspace rotational invariance (SRI) technique. Simulation results are also provided to verify the proposed algorithm.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e81-a_6_1216/_p

Copy

@ARTICLE{e81-a_6_1216,
author={Yi CHU, Wen-Hsien FANG, Shun-Hsyung CHANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Robust Two-Dimensional Frequency Estimation by Using Higher Order Statistics},
year={1998},
volume={E81-A},
number={6},
pages={1216-1222},
abstract={This paper describes a new high resolution algorithm for the two-dimensional (2-D) frequency estimation problem, which, in particular, is noise insensitive in view of the fact that in many practical applications the contaminated noise may not be white noise. For this purpose, the approach is set in the context of higher-order statistics (HOS), which has demonstrated to be an effective approach under a colored noise environment. The algorithm begins with the consideration of the fourth-order moments of the available 2-D data. Two auxiliary matrices, constituted by a novel stacking of the diagonal slice of the computed fourth-order moments, are then introduced and through which the two frequency components can be precisely determined, respectively, via matrix factorizations along with the subspace rotational invariance (SRI) technique. Simulation results are also provided to verify the proposed algorithm.},
keywords={},
doi={},
ISSN={},
month={June},}

Copy

TY - JOUR
TI - Robust Two-Dimensional Frequency Estimation by Using Higher Order Statistics
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1216
EP - 1222
AU - Yi CHU
AU - Wen-Hsien FANG
AU - Shun-Hsyung CHANG
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E81-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 1998
AB - This paper describes a new high resolution algorithm for the two-dimensional (2-D) frequency estimation problem, which, in particular, is noise insensitive in view of the fact that in many practical applications the contaminated noise may not be white noise. For this purpose, the approach is set in the context of higher-order statistics (HOS), which has demonstrated to be an effective approach under a colored noise environment. The algorithm begins with the consideration of the fourth-order moments of the available 2-D data. Two auxiliary matrices, constituted by a novel stacking of the diagonal slice of the computed fourth-order moments, are then introduced and through which the two frequency components can be precisely determined, respectively, via matrix factorizations along with the subspace rotational invariance (SRI) technique. Simulation results are also provided to verify the proposed algorithm.
ER -