Recursive FIR filter structures on FPGA

A new approach to piecewise-polynomial approximation and recursive implementation structures for linear-phase Finite Impulse Response (FIR) filters have been recently proposed. In this paper, we describe hardware prototype implementations of the new structures for all four types of linear-phase FIR filters using a Field Programmable Gate Array (FPGA) based platform. Narrowband lowpass filters and narrowband differentiators are used as design examples to demonstrate the functionality and efficiency of the implementations. The required wordlength and resource usage is analyzed.