Low-cost parallel FIR filter structures with 2-stage parallelism

Based on recently published low-complexity parallel finite-impulse response (FIR) filter structures, this paper proposes a new parallel FIR Filter structure with less hardware complexity. The subfilters in the previous parallel FIR structures are replaced by a second stage parallel FIR filter. The proposed 2-stage parallel FIR filter structures can efficiently reduce the number of required multiplications and additions at the expense of delay elements. For a 32-parallel 1152-tap FIR filter, the proposed structure can save 5184 multiplications (67%), 2612 additions (30%), compared to previous parallel FIR structures, at the expense of 10089 delay elements (-133%). The proposed structures will lead to significant hardware savings because the hardware cost of a delay element is only a small portion of that of a multiplier, not including the savings in the number of additions.