L1 error criterion based optimal FIR filters

This paper presents an L₁ optimization method for the design of Nth order finite impulse response (FIR), highpass (HP) and bandstop (BS) digital filters. For the calculation of optimal filter coefficients, L₁ optimization criterion is adopted. It is seen that filters in L₁ sense posses flat passband and stopband while retaining a transition band, which is comparable to existing filter design techniques. Simulation results affirm that the proposed L₁ method outperforms over the existing filter design methods in terms of smaller passband and stopband ripples and sharp transitions.