Optimal design of 2-D digital filters and 1-D filter banks with continuous and discrete coefficients

• Main Authors: Tang, Ding-Chiang, 唐鼎強
• Other Authors: Ju-Hong Lee
• Format: Others
• Language: zh-TW
• Published: 1998
• Online Access: http://ndltd.ncl.edu.tw/handle/15121517814866567712

碩士 === 國立臺灣大學 === 電機工程學系 === 86 === Recently, digital filters and digital filter banks have played an important role on many digital signal processing theories and applications. In this thesis, we apply weighted least squares(WLS) algorithm and Karmarkar's algorithm as optimization tools to design 1-D Nonuniform-Division Maximally Decimated Filter Banks(NDMDFB) and 2-D FIR filters with continuous coefficients. Due to the circuit complexity and high cost of multibit multipliers while implementing an FIR filter of the conventional structure, we propose a new FIR filter structure whose main part consists of a transversal filter with tap coefficients restricted to -1,0,+1 and cascaded with a simple recursive section with some specific resetting function. Therefore, it's unnecessary for transversal filter to use multipliers, the configuration is suitable for hardware implementation. Based on the new structure, we design NDMDFB and 2-D FIR filter with coefficients -1,0,and +1. Design examples show the effectiveness of the proposed design technique in the thesis.