2005
DOI: 10.1121/1.1940450
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Correcting the use of ensemble averages in the calculation of harmonics to noise ratios in voice signals

Abstract: A correcting formula for the estimation of harmonics-to-noise ratios (HNR) based on ensemble-averaging techniques is derived. The original method yields a biased approximation which is more accurate as the number of averaged pulses (N) increases. However, the method treats gradual waveform changes incorrectly as noise, which is worsened for large values of N. The obtained formula allows the use of as few averaged pulses as desired, while allowing the complete removal of the bias from the estimate of HNR.

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Cited by 6 publications
(19 citation statements)
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“…This representation has been used for source [3] and radiated signals [5,9,14,16] as well as for both indistinctly [12,15]. If we denote the glottal flow waveform as g(t), the vocal tract impulse response as h(t), the radiation at lips as r(t), and the turbulent noise generated at the glottis as n(t), the components of the pulse waveform in (1) can be expressed differently for the source and radiated signals.…”
Section: Ensemble-averages Hnr Calculationmentioning
confidence: 99%
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“…This representation has been used for source [3] and radiated signals [5,9,14,16] as well as for both indistinctly [12,15]. If we denote the glottal flow waveform as g(t), the vocal tract impulse response as h(t), the radiation at lips as r(t), and the turbulent noise generated at the glottis as n(t), the components of the pulse waveform in (1) can be expressed differently for the source and radiated signals.…”
Section: Ensemble-averages Hnr Calculationmentioning
confidence: 99%
“…In [12] the need of averaging a large number of pulses is suppressed, by determining an expression which corrects the ensemble-average HNR.…”
mentioning
confidence: 99%
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“…That is the case of evoked potentials, which are waveforms emitted by the brain as response to certain optical, acoustical, or electrical stimulation [1]. Many other bioelectric signals, such as ventricular late potentials [3], [4], and the voice [5] can be also classified as ERP in a wide sense (ERPWS).…”
Section: Introductionmentioning
confidence: 99%
“…The most commonly used method to enhance the signal of interest to detect or estimate the ERPWS is the coherent averaging [3], [5]. This technique averages a number of epochs, N, using temporal references or fiducial marks, /w, (0 < / < TV), and analysis windows of length a.…”
Section: Introductionmentioning
confidence: 99%