Least Squares Estimate of the Initial Phases in STFT based Speech Enhancement

Sidsel Marie Nørholm; Martin Krawczyk-Becker; Timo Gerkmann; Steven van de Par; Jesper Rindom Jensen; Mads Græsbøll Christensen

Least Squares Estimate of the Initial Phases in STFT based Speech Enhancement

Sidsel Marie Nørholm, Martin Krawczyk-Becker, Timo Gerkmann, Steven van de Par, Jesper Rindom Jensen, Mads Græsbøll Christensen

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Abstract

In this paper, we consider single-channel speech enhancement in the short time Fourier transform (STFT) domain. We suggest to improve an STFT phase estimate by estimating the initial phases. The method is based on the harmonic model and a model for the phase evolution over time. The initial phases are estimated by setting up a least squares problem between the noisy phase and the model for phase evolution. Simulations on synthetic and speech signals show a decreased error on the phase when an estimate of the initial phase is included compared to using the noisy phase as an initialisation. The error on the phase is decreased at input SNRs from -10 to 10 dB. Reconstructing the signal using the clean amplitude, the mean squared error is decreased and the PESQ score is increased.

Original language	English
Title of host publication	INTERSPEECH 2015 : 16th Annual Conference of the International Speech Communication Association, Dresden, Germany, September 6-10, 2015
Publisher	International Speech Communications Association
Publication date	2015
Pages	1750-1754
Publication status	Published - 2015
Event	INTERSPEECH 2015 16th Annual Conference of the International Speech Communication Association - Dresden, Germany Duration: 6 Sept 2015 → 10 Sept 2015

Conference

Conference	INTERSPEECH 2015 16th Annual Conference of the International Speech Communication Association
Country/Territory	Germany
City	Dresden
Period	06/09/2015 → 10/09/2015

Series	INTERSPEECH
ISSN	1990-9770

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Nørholm, S. M., Krawczyk-Becker, M., Gerkmann, T., van de Par, S., Jensen, J. R., & Christensen, M. G. (2015). Least Squares Estimate of the Initial Phases in STFT based Speech Enhancement. In INTERSPEECH 2015: 16th Annual Conference of the International Speech Communication Association, Dresden, Germany, September 6-10, 2015 (pp. 1750-1754). International Speech Communications Association. http://www.isca-speech.org/archive/interspeech_2015/papers/i15_1750.pdf

Nørholm, Sidsel Marie ; Krawczyk-Becker, Martin ; Gerkmann, Timo et al. / Least Squares Estimate of the Initial Phases in STFT based Speech Enhancement. INTERSPEECH 2015: 16th Annual Conference of the International Speech Communication Association, Dresden, Germany, September 6-10, 2015. International Speech Communications Association, 2015. pp. 1750-1754 (INTERSPEECH ).

@inproceedings{16d3c2ea846d4411b270558d2edce806,

title = "Least Squares Estimate of the Initial Phases in STFT based Speech Enhancement",

abstract = "In this paper, we consider single-channel speech enhancement in the short time Fourier transform (STFT) domain. We suggest to improve an STFT phase estimate by estimating the initial phases. The method is based on the harmonic model and a model for the phase evolution over time. The initial phases are estimated by setting up a least squares problem between the noisy phase and the model for phase evolution. Simulations on synthetic and speech signals show a decreased error on the phase when an estimate of the initial phase is included compared to using the noisy phase as an initialisation. The error on the phase is decreased at input SNRs from -10 to 10 dB. Reconstructing the signal using the clean amplitude, the mean squared error is decreased and the PESQ score is increased.",

author = "N{\o}rholm, {Sidsel Marie} and Martin Krawczyk-Becker and Timo Gerkmann and {van de Par}, Steven and Jensen, {Jesper Rindom} and Christensen, {Mads Gr{\ae}sb{\o}ll}",

year = "2015",

language = "English",

series = "INTERSPEECH ",

publisher = "International Speech Communications Association",

pages = "1750--1754",

booktitle = "INTERSPEECH 2015",

note = "INTERSPEECH 2015 16th Annual Conference of the International Speech Communication Association ; Conference date: 06-09-2015 Through 10-09-2015",

}

Nørholm, SM, Krawczyk-Becker, M, Gerkmann, T, van de Par, S, Jensen, JR & Christensen, MG 2015, Least Squares Estimate of the Initial Phases in STFT based Speech Enhancement. in INTERSPEECH 2015: 16th Annual Conference of the International Speech Communication Association, Dresden, Germany, September 6-10, 2015. International Speech Communications Association, INTERSPEECH , pp. 1750-1754, INTERSPEECH 2015 16th Annual Conference of the International Speech Communication Association, Dresden, Germany, 06/09/2015. <http://www.isca-speech.org/archive/interspeech_2015/papers/i15_1750.pdf>

Least Squares Estimate of the Initial Phases in STFT based Speech Enhancement. / Nørholm, Sidsel Marie; Krawczyk-Becker, Martin; Gerkmann, Timo et al.
INTERSPEECH 2015: 16th Annual Conference of the International Speech Communication Association, Dresden, Germany, September 6-10, 2015. International Speech Communications Association, 2015. p. 1750-1754 (INTERSPEECH ).

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

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T1 - Least Squares Estimate of the Initial Phases in STFT based Speech Enhancement

AU - Nørholm, Sidsel Marie

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AU - Jensen, Jesper Rindom

AU - Christensen, Mads Græsbøll

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N2 - In this paper, we consider single-channel speech enhancement in the short time Fourier transform (STFT) domain. We suggest to improve an STFT phase estimate by estimating the initial phases. The method is based on the harmonic model and a model for the phase evolution over time. The initial phases are estimated by setting up a least squares problem between the noisy phase and the model for phase evolution. Simulations on synthetic and speech signals show a decreased error on the phase when an estimate of the initial phase is included compared to using the noisy phase as an initialisation. The error on the phase is decreased at input SNRs from -10 to 10 dB. Reconstructing the signal using the clean amplitude, the mean squared error is decreased and the PESQ score is increased.

AB - In this paper, we consider single-channel speech enhancement in the short time Fourier transform (STFT) domain. We suggest to improve an STFT phase estimate by estimating the initial phases. The method is based on the harmonic model and a model for the phase evolution over time. The initial phases are estimated by setting up a least squares problem between the noisy phase and the model for phase evolution. Simulations on synthetic and speech signals show a decreased error on the phase when an estimate of the initial phase is included compared to using the noisy phase as an initialisation. The error on the phase is decreased at input SNRs from -10 to 10 dB. Reconstructing the signal using the clean amplitude, the mean squared error is decreased and the PESQ score is increased.

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M3 - Article in proceeding

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Nørholm SM, Krawczyk-Becker M, Gerkmann T, van de Par S, Jensen JR , Christensen MG. Least Squares Estimate of the Initial Phases in STFT based Speech Enhancement. In INTERSPEECH 2015: 16th Annual Conference of the International Speech Communication Association, Dresden, Germany, September 6-10, 2015. International Speech Communications Association. 2015. p. 1750-1754. (INTERSPEECH ).

Least Squares Estimate of the Initial Phases in STFT based Speech Enhancement

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