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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Vydáno v:ECC : 2001 European Control Conference : 4-7 September 2001 s. 3104 - 3109
Hlavní autoři: Jezek, J., Hromcik, M., Sebek, M.
Médium: Konferenční příspěvek Journal Article
Jazyk:angličtina
Vydáno: IEEE 01.09.2001
Témata:
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
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Shrnutí: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.
Bibliografie:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Conference-1
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SourceType-Conference Papers & Proceedings-2
ISBN:9783952417362
395241736X
DOI:10.23919/ECC.2001.7076408