Title :
Estimating the Number of Harmonics Using Enhanced Matrix
Author :
Yang, Shiyong ; Li, Hongwei
Author_Institution :
Sch. of Math. & Phys., China Univ. of Geosciences, Wuhan
Abstract :
In this letter, we present a new method for estimating the number of harmonics in colored noise using enhanced matrix. We construct an enhanced matrix from the data samples and then analyze the eigenvalues of the covariance matrix of enhanced matrix. The number of harmonics is inherent with the eigenvalues, and it can be estimated using the special property of the eigenvalues. The presented method does not assume the distribution and color of the additive noise. Simulation results are provided to verify the effectiveness of the presented method
Keywords :
covariance matrices; eigenvalues and eigenfunctions; harmonic analysis; signal sampling; colored noise; covariance matrix; data samples; eigenvalues; harmonics estimation; Additive noise; Colored noise; Covariance matrix; Direction of arrival estimation; Eigenvalues and eigenfunctions; Frequency estimation; Helium; Narrowband; Signal processing; Speech processing; Colored noise; eigenvalue; enhanced matrix; harmonic retrieval; number of harmonics;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2006.882095
