The Hartley Phase Cepstrum as a Tool for Improved Phase Estimation

Paraskevas, Ioannis; Rangoussi, Maria

doi:10.1109/iwssip.2009.5367774

Cited by 3 publications

(5 citation statements)

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“…Summarising, in the case where the ‘intrinsic’ discontinuities have to be compensated from the HPS the steps that have to be followed are: Detection of the ‘critical points’ across the phase spectrum. Scan of the HPS from the start; wherever a ‘critical’ point is detected the remainder of this spectrum has to be multiplied by −1. Repeat steps 1 and 2 for all ‘critical’ points [28, 31]. As mentioned in the Introduction, the aforementioned attractive properties of the HPS compared with its Fourier counterpart are inherited to the corresponding cepstrum, called the Hartley phase cepstrum [28, 30, 31].…”

Section: Whitened Hartley Spectrummentioning

confidence: 99%

“…Please note that the terms ‘Whitened Hartley spectrum’ and ‘HPS’ are used in this paper interchangeably since both of them convey the same meaning. Furthermore, the Hartley phase cepstrum, which stems from the HPS, has been applied in: signal localisation [27, 28], detection of transient events for power quality [29] and as a tool for improved phase spectral estimation [30, 31].…”

Section: Introductionmentioning

confidence: 99%

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Hartley transform and the use of the Whitened Hartley spectrum as a tool for phase spectral processing

Paraskevas

Barbarosou

Chilton

2015

J. eng.

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Section: Whitened Hartley Spectrummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hartley transform and the use of the Whitened Hartley spectrum as a tool for phase spectral processing

Paraskevas

Barbarosou

Chilton

2015

J. eng.

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“…where, from Equation 3, [20], is based on the definition of the Whitened Fourier Spectrum (WFS) which is defined as the ratio of the Fourier Spectrum over the Fourier Magnitude Spectrum-a process known as whitening [19,21]. Hence, the WFS is a complex function that encapsulates the phase content of the signal.…”

Section: Hartley Magnitude Spectrum and Hartley Phase Spectrum Definimentioning

confidence: 99%

“…Hence, the WFS is a complex function that encapsulates the phase content of the signal. 5is not appropriate for the whitening process, because it conveys partially phase information [20]. Consequently, using Equation 3, the HPS is defined as:…”

Section: Hartley Magnitude Spectrum and Hartley Phase Spectrum Definimentioning

confidence: 99%

“…In contrast, there is no known method to compensate the intrinsic discontinuities present in the WFS [21]. Fro encap m Equation (6) it can be seen that the HPS is a function bounded between 2  , a property of practical interest in audio and speec ding applications [20]. Furthermore, the HPS is less sensitive to noise compared with the FPS, due to the form of its probability density function [22].…”

Section: Hartley Magnitude Spectrum and Hartley Phase Spectrum Definimentioning

confidence: 99%

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Feature Extraction for Audio Classification of Gunshots Using the Hartley Transform

Paraskevas

Rangoussi²

2012

OJA

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In audio classification applications, features extracted from the frequency domain representation of signals are typically focused on the magnitude spectral content, while the phase spectral content is ignored. The conventional Fourier Phase Spectrum is a highly discontinuous function; thus, it is not appropriate for feature extraction for classification applications, where function continuity is required. In this work, the sources of phase spectral discontinuities are detected, categorized and compensated, resulting in a phase spectrum with significantly reduced discontinuities. The Hartley Phase Spectrum, introduced as an alternative to the conventional Fourier Phase Spectrum, encapsulates the phase content of the signal more efficiently compared with its Fourier counterpart because, among its other properties, it does not suffer from the phase ‘wrapping ambiguities’ introduced due to the inverse tangent function employed in the Fourier Phase Spectrum computation. In the proposed feature extraction method, statistical features extracted from the Hartley Phase Spectrum are combined with statistical features extracted from the magnitude related spectrum of the signals. The experimental results show that the classification score is higher in case the magnitude and the phase related features are combined, as compared with the case where only magnitude features are used

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The Hartley Phase Spectrum as an Assistive Feature for Classification

Paraskevas¹,

Rangoussi

2010

Advances in Nonlinear Speech Processing

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The Hartley Phase Cepstrum as a Tool for Improved Phase Estimation

Cited by 3 publications

References 8 publications

Hartley transform and the use of the Whitened Hartley spectrum as a tool for phase spectral processing

Hartley transform and the use of the Whitened Hartley spectrum as a tool for phase spectral processing

Feature Extraction for Audio Classification of Gunshots Using the Hartley Transform

The Hartley Phase Spectrum as an Assistive Feature for Classification

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