Direct (nonrecursive) relations between cepstrum and predictor coefficients
Manfred R. Schroeder · IEEE Transactions on Acoustics Speech and Signal Processing · 1981
Direct, i.e., nonrecursive, relations are derived for the cepstrum in terms of the predictor coefficients and vice versa. Connections with algebraic roots, symmetric functions, statistical moments, and cumulants are pointed out. Some implications for pitch detection are also discussed.