Yu, Runyi (Eastern Mediterranean Univ.), Baradarani, Aryaz (Eastern Mediterranean Univ.)

Design of Hilbert Transform Pairs of Wavelet Bases Via LMI Optimization

Scheduled for presentation during the Regular Session "Sampled-data control II" (ThA09), Thursday, July 27, 2006, 12:05−12:30, Room J

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Abstract

This paper considers design of Hilbert transform pairs of wavelet bases of two 2-band perfect reconstruction filter banks. We first review Hilbert transform pair conditions on scaling filters. We then formulate the problem of designing scaling filters of a dual filter bank for a given filter bank as a sampled-data H-infinity optimization problem. The problem is then converted into an equivalent discrete-time H-infinity control problem, which is solved using linear matrix inequality optimization approach. Design examples are presented.