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Please use this identifier to cite or link to this item: http://eprint.iitd.ac.in/handle/2074/2374

Title: A MUSIC-like method for estimating quadratic phase coupling
Authors: Parthasarathy, Harish
Prasad, Surendra
Joshi, S D
Keywords: non-gaussian
third-order cumulants
bispectrum
quadratic phase coupling
skewness
high resolution
MUSIC
signal subspace
noise subspace
kronecker product
pseudo-bispectrum
Issue Date: 1994
Citation: Signal Processing, 37(2), 171-188p.
Abstract: In this paper, a two-dimensional version of the well-known MUSIC algorithm for estimating the quadratically coupled frequency pairs (QC pairs) in a noise-corrupted complex harmonic process is proposed. It is shown that the algorithm can also, with minor modifications, be used for estimating the bispectrum of a general third-order stationary harmonic process. The algorithm involves arranging the complex third-order cumulants of the noisy harmonic process in the form of a matrix having a normal structure, i.e., a matrix with an orthonormal eigenbasis. It is shown that a necessary and sufficient condition for an ordered pair (θ1, θ2) in the two-dimensional frequency plane to be a QC pair is that the Kronecker product between steering vectors associated with the two frequencies θ1 and θ2 lies in the signal subspace of this matrix. By exploiting this result and the orthogonality between the signal and noise subspaces of the above matrix, a symmetric search function of two frequency variables (termed as the MUSIC pseudo-bispectrum estimator) is constructed using the signal eigenvectors. This function is shown to peak precisely at the QC pair locations in the two-dimensional frequency plane. Simulation results are presented, and are shown to testify to the high-resolution performance of this estimator.
URI: http://eprint.iitd.ac.in/dspace/handle/2074/2374
Appears in Collections:Electrical Engineering

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