Title :
Complex-valued M-band wavelets design
Author :
Jia, Hongjiang ; Zarowski, Christopher J.
Author_Institution :
Dept. of Electr. & Comput. Eng., Alberta Univ., Edmonton, Alta., Canada
Abstract :
Recent wavelet research has primarily focused on real-valued wavelet bases. However, complex wavelet bases offer a number of potential advantageous properties. For example, it has been suggested that the complex wavelets can be used as a vestigial sideband (VSB) filter in multiuser communications C. J. Zarowski (2000). In this paper, we make an extension to the method of Davidson, Luo and Wongf (2000). We present a general method to design optimal complex-valued M-band filters and M-band wavelets. This method is more efficient and accurate than the previous linear programming problem (LPP) methods. And some examples of optimal wavelet design are provided. We also analyze the tradeoff between the peak stop band level (PSL) and stop band energy ratio (SER) of the optimal filters. Because this is important in designing waveforms with prescribed spectral characteristics.
Keywords :
FIR filters; digital communication; wavelet transforms; M-band wavelets; VSB; complex-valued M-band filter; multiuser communication; peak stopband level; real-valued wavelet bases; stopband energy ratio; vestigial sideband filter; Band pass filters; Bandwidth; Design methodology; Discrete wavelet transforms; Finite impulse response filter; Frequency division multiplexing; Frequency domain analysis; Signal design; Time division multiplexing; Wavelet packets;
Conference_Titel :
Communications, Computers and signal Processing, 2003. PACRIM. 2003 IEEE Pacific Rim Conference on
Print_ISBN :
0-7803-7978-0
DOI :
10.1109/PACRIM.2003.1235848
