Design of optimal minimum-phase digital FIR filters using discrete Hilbert transforms

We present a robust non-iterative algorithm to design optimal minimum phase digital FIR lters with real or complex coe cients. We derive (1) the discrete Hilbert transform (DHT) of the complex cepstrum of a causal complex minimum phase sequence, and (2) the minimum fast Fourier transform length for computing the DHT to achieve a desired coe cient accuracy.