基于四元数矩阵的谐波信号多参量联合估计

Abstract

Abstract: As for harmonic multiple parameter estimation used in many applications,this paper presents a novel estimation algorithm based on quaternion theory.Firstly,a novel quaternion model is established through transforming original sampled data,and then its autocorrelation function is constructed.Secondly,the Toeplitz matrix of quaternion model’s autocorrelation function is constructed.After analyzing the Toeplitz matrix,the following nuclear purpose is to establish mutual constraint between multiple parameters so as to improve estimation effects.Finally,with right eigenvalue decomposition of the quaternion matrix,its noise subspace is constructed,and a quaternion-MUSIC method is used to estimate harmonic’s multiple parameters.Simulations illustrate that the proposed method is better than classical methods when the signal-to-noise ratio is low.

CLC Number:

TN911.72

WANG Fei, ZHOU Jian-jiang. Multi-parameter estimation of harmonics based on quaternion matrix[J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2037-2041.

References

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Multi-parameter estimation of harmonics based on quaternion matrix

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