The Hartley Phase Cepstrum as a Tool for Signal Analysis

This paper proposes the use of the Hartley Phase Cepstrum as a tool for signal analysis. The phase of a signal conveys critical information, which is exploited in a variety of applications. The role of phase is particularly important for the case of speech or audio signals. Accurate phase information extraction is a prerequisite for speech applications such as coding, synchronization, synthesis or recognition. However, signal phase extraction is not a straightforward procedure, mainly due to the discontinuities appearing in it (‘wrapping’ effect). A variety of phase ‘unwrapping’ algorithms have been proposed to overcome this point, when the extraction of the accurate phase values is required. In order to extract the phase content of a signal for subsequent utilization, it is necessary to choose a function that can encapsulate it. In this paper we propose the use of the Hartley Phase Cepstrum (HPC).