Low‐complexity design framework of all‐pass filters with application in quadrature mirror filter banks design
| Autor: | Fu-Kun Chen, Yue-Dar Jou, Zhan-Pei Lin |
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| Rok vydání: | 2017 |
| Předmět: |
0209 industrial biotechnology
Mathematical optimization Computational complexity theory MathematicsofComputing_NUMERICALANALYSIS 020206 networking & telecommunications 02 engineering and technology Quadrature mirror filter Expression (mathematics) Reduction (complexity) Matrix (mathematics) 020901 industrial engineering & automation ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Signal Processing 0202 electrical engineering electronic engineering information engineering Electrical and Electronic Engineering Trigonometry Algorithm Linear equation Cholesky decomposition Mathematics |
| Zdroj: | IET Signal Processing. 11:239-249 |
| ISSN: | 1751-9683 1751-9675 |
| DOI: | 10.1049/iet-spr.2016.0213 |
| Popis: | Digital all-pass filters design problem can be simplified by solving a set of linear equations associated with a Toeplitz-plus-Hankel matrix in the least-squares sense. Consequently, the Cholesky decomposition or split Levinson technique can be appropriately used to obtain the optimal solution. In this study, the determination of the set of linear equations to calculate the all-pass-based quadrature mirror filter banks is achieved by exploiting some trigonometric identities and the frequency sampling method. The proposed simplification allows for expressing a sum of sinusoids by a single expression. The simulation results indicate that the presented new and simpler closed-form expressions of the Toeplitz-plus-Hankel associated matrices can achieve accurate performance with a considerable reduction in computational complexity. |
| Databáze: | OpenAIRE |
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