Minimum-phase parts of zero-phase sequences

Authors:
Corneliu Rusu;Jaakko Astola
Affiliations:
Faculty of Electronics, Telecommunications and Information Technology, Technical University of Cluj-Napoca, Cluj-Napoca, Str. Baritiu 26-28, RO-400027, Romania;Tampere International Center for Signal Processing, Tampere University of Technology, Tampere, Finland
Venue:
Signal Processing
Year:
2009

Citing 3
Cited 1

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Abstract

For more than a decade it has been empirically known that the causal portion of the inverse Fourier transform of the magnitude spectrum of the speech signal behaves like a minimum-phase signal. Later on, this statement has been shown for an all-pole model. In this paper, we consider related results for both discrete-time Fourier and discrete Fourier transforms of arbitrary sequences. We indicate how the presence of aliasing in circular autocorrelation might be detected. The energy concentration property of zero-phase sequences is discussed.