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http://hdl.handle.net/2074/2374
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| 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 variable... |
| URI: | http://eprint.iitd.ac.in/dspace/handle/2074/2374 |
| Appears in Collections: | Electrical Engineering
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