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Analysis of algorithms for filter bank design optimization

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dc.contributor.author ElGarewi, Ahmed
dc.date.accessioned 2019-09-06T22:23:24Z
dc.date.available 2019-09-06T22:23:24Z
dc.date.copyright 2019 en_US
dc.date.issued 2019-09-06
dc.identifier.uri http://hdl.handle.net/1828/11131
dc.description.abstract This thesis deals with design algorithms for filter banks based on optimization. The design specifications consist of the perfect reconstruction and frequency response specifications for finite impulse response (FIR) analysis and synthesis filters. The perfect reconstruction conditions are formulated as a set of linear equations with respect to the analysis filters’ coefficients and the synthesis filters’ coefficients. Five design algorithms are presented. The first three are based on an unconstrained optimization of performance indices, which include the perfect reconstruction error and the error in the frequency specifications. The last two algorithms are formulated as constrained optimization problems with the perfect reconstruction error as the performance index and the frequency specifications as constraints. The performance of the five algorithms is evaluated and compared using six examples; these examples include uniform filter bank, compatible non-uniform filter bank and incompatible non-uniform filter bank designs. The evaluation criteria are based on distortion and aliasing errors, the magnitude response characteristics of analysis and synthesis filters, the computation time required for the optimization, and the convergence of the performance index with respect to the number of iterations. The results show that the five algorithms can achieve almost perfect reconstruction and can meet the frequency response specifications at an acceptable level. In the case of incompatible non-uniform filter banks, the algorithms have challenges to achieve almost perfect reconstruction. en_US
dc.language English eng
dc.language.iso en en_US
dc.rights Available to the World Wide Web en_US
dc.subject Compatible Filter Bank en_US
dc.subject Filter Bank en_US
dc.subject Optimization en_US
dc.subject Perfect Reconstruction en_US
dc.subject Non-Uniform Filter Bank en_US
dc.subject Uniform Filter Bank en_US
dc.subject Incompatible Filter Bank en_US
dc.subject Analysis Filters en_US
dc.subject Synthesis Filters en_US
dc.subject Nearly Perfect Reconstruction en_US
dc.subject Distortion and Aliasing Errors en_US
dc.title Analysis of algorithms for filter bank design optimization en_US
dc.type Thesis en_US
dc.contributor.supervisor Agathoklis, Panajotis
dc.degree.department Department of Electrical and Computer Engineering en_US
dc.degree.level Master of Applied Science M.A.Sc. en_US
dc.description.scholarlevel Graduate en_US


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