Title :
Perfect reconstruction modulated filter banks with sum of powers-of-two coefficients
Author :
Chan, S.C. ; Liu, W. ; Ho, K.L.
Author_Institution :
Dept. of Electr. & Electron. Eng., Hong Kong Univ., China
Abstract :
In this paper, a new family of multiplier-less modulated filter banks, called the SOPOT MFB, is presented. The coefficients of the proposed filter banks consist of sum of powers-of-two coefficients (SOPOT), which require only simple shifts and additions for implementation. The modulation matrix and the prototype filter are derived from the fast DCT-IV algorithm of Wang (1984) and a lattice structure. The design of the SOPOT MFB is performed using the genetic algorithm (GA). An 16-channel SOPOT MFB with 34 dB stopband attenuation is given as an example, and its average number of terms per SOPOT coefficient is only 2.6
Keywords :
digital filters; filtering theory; genetic algorithms; lattice filters; matrix algebra; modulation; 16-channel configuration; SOPOT MFB; fast DCT-IV algorithm; genetic algorithm; lattice structure; modulated filter banks; modulation matrix; multiplier-less filter banks; perfect reconstruction filter banks; prototype filter; sum of powers-of-two coefficients; Algorithm design and analysis; Attenuation; Channel bank filters; Filter bank; Filtering theory; Image reconstruction; Lattices; Matrix decomposition; Power engineering and energy; Prototypes;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.856261