FIR filter design using Jacobian elliptic Sn function with wavelet applications.

This thesis presents a new method of digital FIR filter design based on the Jacobian elliptic sine function. In addition to a general design, a special result is obtained for Quadrature Mirror Filters (QMF) for use in multi-resolution filter banks. These are called Quasi-Dyadic FIR filters. Most of the Quasi-Dyadic filter coefficients are alpha2-n , where alpha is the scale of the coefficients and n is a positive integer. With these special coefficients, the 'multiply' operation may be changed to a 'shift' operation in assembly coding in signal filtering. Since 'shift' is much faster than the 'multiply' instruction in most microprocessors or DSP chipsets, the Quasi-Dyadic filter is more efficient. For multi-resolution filter banks (wavelet-like), perfect reconstruction (PR) is shown to be possible by a novel strategy. In addition, simpler structures that do not provide PR are shown to be valuable in practical applications. Implementation on a DSP board is also presented. Source: Masters Abstracts International, Volume: 39-02, page: 0567. Adviser: James Soltis. Thesis (M.A.Sc.)--University of Windsor (Canada), 2000.

Name thesis:degree_name

M.A.Sc.

Level thesis:degree_level

Masters

Discipline thesis:degree_discipline

Civil and Environmental Engineering

Grantor

University of Windsor

Year dc:date.issued

2000

Author dc:creator

• Qiu, (John) Zhengluo

Advisor dc:contributor.advisor

• Soltis, James

Licence

• http://creativecommons.org/licenses/by-nc-nd/4.0/

Language dc:language.iso

en_CA

Handle dc:identifier.uri

https://hdl.handle.net/20.500.14776/1734

OAI identifier oai:identifier

oai:uwindsor.scholaris.ca:20.500.14776/1734