DocumentCode :
3382055
Title :
An ESPRIT-like algorithm for the estimation of quadratic phase coupling
Author :
Parthasarathy, Harish ; Prasad, Surendra ; Joshi, S.D.
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Technol., New Delhi, India
fYear :
1992
fDate :
7-9 Oct 1992
Firstpage :
189
Lastpage :
192
Abstract :
Two algorithms are proposed for estimating the quadratically coupled frequency pairs (QC pairs) in a signal consisting of complex sinusoids in white noise, which may be nonGaussian in general. Three matrices are constructed from the complex third order moments of the noisy signal, the latter two being time shifted versions of the first. The list of coupled frequencies is obtained from the rank reducing numbers of the matrix pencil formed from the first matrix and either of the latter two. The first algorithm then pairs these components by relating quadratic coupling to the intersection of generalized eigenspaces corresponding to two of these frequencies. The coupling strengths are obtained in terms of generalized eigenvectors in this intersection space. The second algorithm constructs a two-parameter matrix pencil using all three matrices. The rank reducing pairs of this pencil on the unit circle yield the QC, pairs and the associated generalized eigenvector yields the coupling strength
Keywords :
eigenvalues and eigenfunctions; matrix algebra; parameter estimation; signal processing; white noise; ESPRIT-like algorithm; complex sinusoids; coupled frequencies; coupling strength; generalized eigenspaces; generalized eigenvectors; intersection space; matrix pencil; quadratic phase coupling; rank reducing pairs; white noise; Computer simulation; Eigenvalues and eigenfunctions; Phase estimation; Random variables;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Statistical Signal and Array Processing, 1992. Conference Proceedings., IEEE Sixth SP Workshop on
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0508-6
Type :
conf
DOI :
10.1109/SSAP.1992.246817
Filename :
246817
Link To Document :
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