Minimum-Phase FIR Filter Design Using Real Cepstrum

The real cepstrum is used to design an arbitrary length minimum-phase finite-impulse response filter from a mixed-phase prototype. There is no need to start with the odd-length equiripple linear-phase filter first. Neither the phase-unwrapping nor root-finding procedure is needed. Only two fast Fourier transforms and a recursive procedure are required to find the filter´s impulse response from its real cepstrum. The resulting filter´s magnitude response is exactly the same as the original one even when the filter is of very high order