THE DESIGN OF OPTIMAL L1 LINEAR PHASE FIR DIGITAL FILTERS
Liron D. Grosssmann, Yonina C. Eldar · 2006
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 leastsquares filters. A comparison with existing methods is made, and it is shown that our method is as efficient as the celebrated Remez exchange algorithm. 1.