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Phase Estimation of Minimum Phase Systems using the Hartley Phase Cepstrum

In this paper the Hartley Transform is presented as a novel alternative to the conventional Fourier Transform, for the estimation of the phase response of linear discrete minimum phase systems. The representation of phase via the Hartley transform avoids the need for a phase unwrapping algorithm and the Hartley phase spectrum has the added advantage of being a function bounded by ±√2. An algorithm for removing other discontinuities arising from the signal itself in the Hartley phase spectrum is introduced. The Hartley phase cepstrum is defined and a technique for system phase estimation is discussed and illustrated with suitable examples.