Optimum design of multistage half-band FIR filter for audio conversion using a simulated annealing algorithm

FIR half-band filter design is classical economical filter design due to half of their coefficients are zero as well as being symmetrical. Using cascaded half-band FIR filters as anti-aliasing and anti-image filters (AAF) for high resolution audio conversion are common. Though the design can be further optimised by taking advantages of balancing transition band and stopband attenuation speciallyfor multistage design. In this paper, the method of modified Simulated Annealing Algorithm is proposed to carry out the global optimisation. It shows the proposed algorithm improves the efficiency of the designed filter in terms filter cost and group delay comparing with traditional design for multistage multirate cases.