Efficient design of decimation filter using linear programming and its FPGA implementation

Abstract

In this paper we present two-stage CIC (cascaded-integrator-comb) decimation filters with decimation factor M expressed as M = M1M2, where M1,M2∈Z+. The proposed decimator-I aims to minimize the pass-band droop using a cascade connection of Kaiser Hamming (KH) and Saramäki-Ritoniemi (SR) sharpening structures. The coefficients of second stage are determined using linear programming in MATLAB. The proposed CIC decimator-I when designed for various integer decimation factors on an average has a pass-band droop of −0.09 dB at the normalized frequency of 1/2 M and an average alias rejection of −44 dB at the normalized frequency of 3/2 M. Further, another decimator-II structure extends decimator-I to achieve an alias rejection of −87 dB and pass-band droop of −0.17 dB. The FPGA implementation of proposed designs has lower slice utilization and achieves higher maximum operating frequency than other existing competing designs. The performance of proposed decimation filters is confirmed using computer simulations in analog-to-digital converters (ADC) and sigma-delta (ΣΔ) modulators.