Analysis of algorithms for filter bank design optimization

Simple item page
dc.contributor.authorElGarewi, Ahmed
dc.contributor.supervisorAgathoklis, Panajotis
dc.date.accessioned2019-09-06T22:23:24Z
dc.date.available2019-09-06T22:23:24Z
dc.date.copyright2019en_US
dc.date.issued2019-09-06
dc.degree.departmentDepartment of Electrical and Computer Engineeringen_US
dc.degree.levelMaster of Applied Science M.A.Sc.en_US
dc.description.abstractThis 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.description.scholarlevelGraduateen_US
dc.identifier.urihttp://hdl.handle.net/1828/11131
dc.languageEnglisheng
dc.language.isoenen_US
dc.rightsAvailable to the World Wide Weben_US
dc.subjectCompatible Filter Banken_US
dc.subjectFilter Banken_US
dc.subjectOptimizationen_US
dc.subjectPerfect Reconstructionen_US
dc.subjectNon-Uniform Filter Banken_US
dc.subjectUniform Filter Banken_US
dc.subjectIncompatible Filter Banken_US
dc.subjectAnalysis Filtersen_US
dc.subjectSynthesis Filtersen_US
dc.subjectNearly Perfect Reconstructionen_US
dc.subjectDistortion and Aliasing Errorsen_US
dc.titleAnalysis of algorithms for filter bank design optimizationen_US
dc.typeThesisen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
ElGarewi_Ahmed_MASc_2019.pdf
Size:
13.35 MB
Format:
Adobe Portable Document Format
Description:
MASc Thesis
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Theses and Dissertations (ETD)
Theses (Electrical and Computer Engineering)
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.