Perfect reconstruction modulated filter banks with sum of powers-of-two coefficients
S. C. Chan, Wei Liu, K.I. Ho · 2002
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.