Impulse response approximation of digital finite impulse response filter with delay line units

Abstract

This article proposes special digital filtering structures formed by one multiplier, one adder and a delay line. Such structures can be used to synthesize finite impulse response Hilbert filter. The advantage of such approach is reduced number of multipliers, compared to standard implementation. The quotients of structures can be calculated by local optimization methods. This article shows an example of the 30-th order Hilbert filter calculation, which requires only 6 multipliers for implementation.