The Design of Optimal L1Linear Phase FIR Digital Filters

This paper addresses the problem of designing linear-phase finite impulse response digital filters using an L₁ optimality criterion. An efficient procedure for the design of such filters is proposed and it is shown that the resulting filter has several desirable properties. Specifically, the L₁ filter possesses flat passbands and stopbands while keeping the transition band comparable to that of the least-squares filters. A comparison with existing methods is made, and it is shown that our method is as efficient as the celebrated Remez exchange algorithm