A new method for estimating quadratic phase coupling

Shenghe Sun; Xin Sun; Xiyuan Peng

A new method for estimating quadratic phase coupling

Shenghe Sun^*
, Xin Sun
, Xiyuan Peng

^*Corresponding author for this work

School of Electronics and Information Engineering

Harbin Institute of Technology
Chinese Institute of Electronics
Harbin Inst. of Electron. Eng.
Inst. of Automatic Test and Control
Elec. Instrum. Electromagnetic M.

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, a new method is proposed for estimating the quadratically coupled frequency pairs (QC pairs) in a noise-corrupted complex harmonic process. This method constructs a simple matrix by exploiting a two-dimensional characteristic polynomial of complex third-order cumulants. QC pairs are yielded by combining singular value decomposition (SVD) and total least squares (TLS). Simulations are provided to show the accuracy and high-resolution performance of this method.

Original language	English
Pages (from-to)	116-121
Number of pages	6
Journal	Chinese Journal of Electronics
Volume	7
Issue number	2
State	Published - Apr 1998

Keywords

Characteristic polynomial
Quadratic phase coupling
Third-order cumulants

Cite this

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title = "A new method for estimating quadratic phase coupling",

abstract = "In this paper, a new method is proposed for estimating the quadratically coupled frequency pairs (QC pairs) in a noise-corrupted complex harmonic process. This method constructs a simple matrix by exploiting a two-dimensional characteristic polynomial of complex third-order cumulants. QC pairs are yielded by combining singular value decomposition (SVD) and total least squares (TLS). Simulations are provided to show the accuracy and high-resolution performance of this method.",

keywords = "Characteristic polynomial, Quadratic phase coupling, Third-order cumulants",

author = "Shenghe Sun and Xin Sun and Xiyuan Peng",

year = "1998",

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AU - Sun, Shenghe

AU - Sun, Xin

AU - Peng, Xiyuan

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N2 - In this paper, a new method is proposed for estimating the quadratically coupled frequency pairs (QC pairs) in a noise-corrupted complex harmonic process. This method constructs a simple matrix by exploiting a two-dimensional characteristic polynomial of complex third-order cumulants. QC pairs are yielded by combining singular value decomposition (SVD) and total least squares (TLS). Simulations are provided to show the accuracy and high-resolution performance of this method.

AB - In this paper, a new method is proposed for estimating the quadratically coupled frequency pairs (QC pairs) in a noise-corrupted complex harmonic process. This method constructs a simple matrix by exploiting a two-dimensional characteristic polynomial of complex third-order cumulants. QC pairs are yielded by combining singular value decomposition (SVD) and total least squares (TLS). Simulations are provided to show the accuracy and high-resolution performance of this method.

KW - Characteristic polynomial

KW - Quadratic phase coupling

KW - Third-order cumulants

UR - https://www.scopus.com/pages/publications/0032050486

M3 - 文章

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SN - 1022-4653

VL - 7

SP - 116

EP - 121

JO - Chinese Journal of Electronics

JF - Chinese Journal of Electronics

IS - 2

ER -

A new method for estimating quadratic phase coupling

Abstract

Keywords

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