Date of Award
1998
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Electrical and Computer Engineering
First Advisor
Guoxiang Gu
Abstract
This dissertation studies the design of multirate filter banks by adopting a so-called system approach. The design issue of Johnston's method is first investigated in which an explicit expression of the reconstruction error is derived using Lyapunov stability theory, and new convergent iterative algorithms are proposed through non-linear optimization. The results are extended to the two-dimensional filter banks. The design issue of more general multirate filter banks is also investigated through model matching method. Using standard results from modern control theory, new design algorithms are developed which minimize the reconstruction error while completely eliminating the aliasing error. State-space realizations, inner-outer factorizations, and optimal Hankel norm approximation are used to reduce the complexity of computation and improve the accuracy of the proposed design algorithms.
Recommended Citation
Huang, Jian, "A System Approach to the Design of Multirate Filter Banks." (1998). LSU Historical Dissertations and Theses. 6740.
https://repository.lsu.edu/gradschool_disstheses/6740
ISBN
9780591997835
Pages
137
DOI
10.31390/gradschool_disstheses.6740