A methodology for implementing decimator FIR filters on FPGA

This paper presents a methodology which can be used to implement any decimator symmetric/antisymmetric (S/A) finite impulse response (FIR) filter. Two varieties are developed: a classic distributed arithmetic (CDA) based and a modified distributed arithmetic (MDA) based one. Both exploit the polyphase structure and the symmetry/antisymmetry of the filter and are evaluated in terms of area efficiency, speed and power consumption. The choice of the algorithm depends on the performance metrics targeted. The methodology has been applied to implement the filter bank CDF9/7 which constitutes a one dimensional (1D) and one level discrete wavelet transform (DWT). The filter bank also known as the bior4.4 biorthogonal wavelets is recommended by the JPEG2000 standard for lossy compression of images and video. The architecture has been implemented on an Altera field programmable gate array (FPGA) and the simulations run in Matlab, Modelsim and Altera Quartus II. The results prove the efficiency of the algorithms and show the tradeoff between the area occupied, the throughput and the power consumption.