Closed-form design of linear-phase sharp FIR half-band filters

In this paper, a new design of a computationally efficient linear-phase sharp FIR half-band filter is proposed in a closed form, whereby a modified sampling kernel and complementary filter concept are utilized. Based on the derived closed-form formula, filter coefficients of a linear-phase FIR half-band filter with sharp transition are derived. Simulation results show that the number of multipliers can be much reduced in the proposed approach, when compared with that required in the conventional half-band filter design.