The Zeros of Random Polynomials: Further Results and Applications

Schober R, Gerstacker W (2002)


Publication Language: English

Publication Type: Journal article

Publication year: 2002

Journal

Publisher: Institute of Electrical and Electronics Engineers (IEEE)

Book Volume: 50

Pages Range: 892-896

Journal Issue: 6

DOI: 10.1109/TCOMM.2002.1010607

Abstract

In this letter, we consider the density of the zeros of random polynomials with nonzero mean correlated Gaussian coefficients. We show that for most communication problems the original result by Hammersley can be expressed in a simpler form. In order to illustrate the usefulness of the presented theory, two applications are considered. First, the zeros of frequency-selective Ricean fading channels are investigated. Second, the zeros of the transfer function corresponding to channel impulse response estimates obtained by a least-squares approach are calculated. For both applications implications for equalizer design are discussed.

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How to cite

APA:

Schober, R., & Gerstacker, W. (2002). The Zeros of Random Polynomials: Further Results and Applications. IEEE Transactions on Communications, 50(6), 892-896. https://doi.org/10.1109/TCOMM.2002.1010607

MLA:

Schober, Robert, and Wolfgang Gerstacker. "The Zeros of Random Polynomials: Further Results and Applications." IEEE Transactions on Communications 50.6 (2002): 892-896.

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