In this brief we propose to design a minimum phase finite-impulsenresponse (FIR) digital filter transfer function from a given equiripplenlinear phase FIR transfer function which has identical amplitude. Thenbrief deals with two important issues. The first issue is that we arenconcentrating on very high degree polynomials for which factorizationnprocedures for root extraction are unreliable. A novel approach isntaken, that involves the use of a set of parameters called root momentsnof a polynomial, derivable directly from the polynomial coefficientsnthat immensely facilitate the factorization of polynomials of very largenorder. The second issue is that the polynomials we deal with have rootsnon the unit circle. In the paper we propose a method to overcome thisnproblem. The results of the proposed design scheme are very encouragingnas far as robustness and computational complexity are concerned
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