New algorithm for spectral factorization and its practical application

In this report a new algorithm is presented for the spectral factorization of a two-sided symmetric polynomial. The method is based on the discrete Fourier transform theory (DFT) and its relationship to the Z-transform. Involving DFT computational techniques, namely the famous fast Fourier transform...

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Published in:ECC : 2001 European Control Conference : 4-7 September 2001 pp. 3104 - 3109
Main Authors: Jezek, J., Hromcik, M., Sebek, M.
Format: Conference Proceeding Journal Article
Language:English
Published: IEEE 01.09.2001
Subjects:
Accuracy
Algorithms
Computation
Computational efficiency
Discrete Fourier transforms
Factorization
Fourier transforms
Interpolation
Polynomials
Signal processing algorithms
Sound filters
Spectra
Spectral factorization. Polynomial design methods
Vectors
ISBN:9783952417362, 395241736X
Online Access:Get full text
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Abstract In this report a new algorithm is presented for the spectral factorization of a two-sided symmetric polynomial. The method is based on the discrete Fourier transform theory (DFT) and its relationship to the Z-transform. Involving DFT computational techniques, namely the famous fast Fourier transform routine (FFT), brings high computational efficiency and reliability. The power of the proposed procedure is employed in a particular practical application. Namely the problem of computing an H 2 -optimal inverse dynamic filter to an audio equipment is considered as it was proposed by M. Sternad and colleagues in [12] to improve behavior of moderate quality loudspeakers. Involved spectral factorization is resolved by our new method and its performance is compared with existing algorithms.
AbstractList In this report a new algorithm is presented for the spectral factorization of a two-sided symmetric polynomial. The method is based on the discrete Fourier transform theory (DFT) and its relationship to the Z-transform. Involving DFT computational techniques, namely the famous fast Fourier transform routine (FFT), brings high computational efficiency and reliability. The power of the proposed procedure is employed in a particular practical application. Namely the problem of computing an H 2 -optimal inverse dynamic filter to an audio equipment is considered as it was proposed by M. Sternad and colleagues in [12] to improve behavior of moderate quality loudspeakers. Involved spectral factorization is resolved by our new method and its performance is compared with existing algorithms.
In this report a new algorithm is presented for the spectral factorization of a two-sided symmetric polynomial. The method is based on the discrete Fourier transform theory (DFT) and its relationship to the Z-transform. Involving DFT computational techniques, namely the famous fast Fourier transform routine (FFT), brings high computational efficiency and reliability. The power of the proposed procedure is employed in a particular practical application. Namely the problem of computing an H sub(2)-optimal inverse dynamic filter to an audio equipment is considered as it was proposed by M. Sternad and colleagues in [12] to improve behavior of moderate quality loudspeakers. Involved spectral factorization is resolved by our new method and its performance is compared with existing algorithms.
Author Sebek, M.
Jezek, J.
Hromcik, M.
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  organization: Centre for Appl. Cybern., Czech Tech. Univ. in Prague, Prague, Czech Republic
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Snippet In this report a new algorithm is presented for the spectral factorization of a two-sided symmetric polynomial. The method is based on the discrete Fourier...
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SubjectTerms Accuracy
Algorithms
Computation
Computational efficiency
Discrete Fourier transforms
Factorization
Fourier transforms
Interpolation
Polynomials
Signal processing algorithms
Sound filters
Spectra
Spectral factorization. Polynomial design methods
Vectors
Title New algorithm for spectral factorization and its practical application
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