On the design of an on-line complex FIR filter

In this paper, we present a novel implementation for an N-tap complex finite impulse response (FIR) filter, using complex number on-line arithmetic, based on adopting a redundant complex number system (RCNS) to represent complex operands as a single number. We present cost comparisons with (i) a real number on-line arithmetic approach and (ii) a real number parallel arithmetic approach, to demonstrate a significant improvement in cost.