Optimal Design of FIR and IIR Digital Filter Banks with Signed Power of Two coefficients

• Main Authors: Hung-Chi Chen, 陳鴻基
• Other Authors: Ju-Hong Lee
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/12520157087976390843

碩士 === 國立臺灣大學 === 電機工程學研究所 === 95 === Quadrature Mirror Filter banks is widely used in multirate system. It can divid input signal into several subband signals. Owing to human sense, like sense of hearing , sense of sight, is not uniformly distributed in frequency, Non-uniform Division Filter banks is even more important than QMF in some aspects. In this thesis, we focus on both structure of filter banks. CORDIC algorithm is an approach to perform angle quantization. It can quantize coefficients in angle space which is denser than coefficient space. Besides, coefficients quantized by CORDIC algorithm can be represented in signed power of two form. In addition, the algorithm can be realized high speed and low complexity VLSI circuits, without using multiplier, need only shifter, multiplexer and adder. For these reasons, we propose CORDIC algorithm for optimal design. We also combine WLS algorithm and CORDIC algorithm or use genetic algorithm based on CORDIC algorithm. The results designed by these kinds of algorithm approximate to the results designed by continuous coefficient algorithm. Some design parameters are even better than later. We prove these algorithm which is worthy for further application.