Efficient implementation of multiplierless recursive lowpass FIR filters using computer algebra system

The efficient implementation of a selective multiplierless lowpass digital FIR filter is a desired solution for low-power consumption applications. The simplest way is to start the design procedure that is based on predefined efficient filter structure. The computer algebra system can be used for the automated design procedure. The proposed solution is especially attractive in cases when the same hardware can be used more than ones during the sampling period. Also, the overall complexity is equivalent to very low-order FIR filter, while the filter order that corresponds to the filter transfer function is very high.