Half-Band Filter Design based on MATLAB and FPGA

摘要

Half-band filter is a linear phase FIR filter, which is symmetric-even and odd.Because the coefficient of half-band filter is symmetrical and nearly half of the coefficient are zero, it make the filters reduce the number of multiplication operations by almost 3/4, and the number of addition operations by nearly half. The memory used to store filter coefficients are also reduced by half, so it make the implementation of efficient real-time digital signal processing more conducive. The halfband filter has many characteristics: for instance, simple structure, easy to implement and excellent performance, it is widely used in multi-rate system. This paper first describes the principle of half-band FIR filter, the character and method for implementation, then puts forward the design and simulation process which is based on MATLAB and Xilinx's half-band filter, and at last analyses the result.