Determination Of Pisarenko Frequency Estimates As Eigenvalues Of An Orthogonal Matrix

G. S. Ammar; W. B. Gragg; L. Reichel

doi:10.1117/12.942026

21 January 1988 Determination Of Pisarenko Frequency Estimates As Eigenvalues Of An Orthogonal Matrix

G. S. Ammar, W. B. Gragg, L. Reichel

Proceedings Volume 0826, Advanced Algorithms and Architectures for Signal Processing II; (1988) https://doi.org/10.1117/12.942026
Event: 31st Annual Technical Symposium on Optical and Optoelectronic Applied Sciences and Engineering, 1987, San Diego, CA, United States

Abstract

Pisarenko proposed a method for decomposing a random stationary process into a sum of harmonics in white noise. The numerical determination of the frequencies consists of several parts, one of which is the computation of the zeros of a polynomial which is known to vanish on the unit circle only. We describe how this part of the computations can be formulated as an eigenvalue problem for an orthogonal matrix. Several algorithms for such eigenproblems are reviewed, one of which enables highly parallel computations.

Citation Download Citation

G. S. Ammar, W. B. Gragg, and L. Reichel "Determination Of Pisarenko Frequency Estimates As Eigenvalues Of An Orthogonal Matrix", Proc. SPIE 0826, Advanced Algorithms and Architectures for Signal Processing II, (21 January 1988); https://doi.org/10.1117/12.942026

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