Low-rankness of Complex-valued Spectrogram and Its Application to Phase-aware Audio Processing

Yoshiki Masuyama, Kohei Yatabe, Yasuhiro Oikawa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

Low-rankness of amplitude spectrograms has been effectively utilized in audio signal processing methods including non-negative matrix factorization. However, such methods have a fundamental limitation owing to their amplitude-only treatment where the phase of the observed signal is utilized for resynthesizing the estimated signal. In order to address this limitation, we directly treat a complex-valued spectrogram and show a complex-valued spectrogram of a sum of sinusoids can be approximately low-rank by modifying its phase. For evaluating the applicability of the proposed low-rank representation, we further propose a convex prior emphasizing harmonic signals, and it is applied to audio denoising.

Original languageEnglish
Title of host publication2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages855-859
Number of pages5
ISBN (Electronic)9781479981311
DOIs
Publication statusPublished - 2019 May 1
Event44th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Brighton, United Kingdom
Duration: 2019 May 122019 May 17

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume2019-May
ISSN (Print)1520-6149

Conference

Conference44th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019
CountryUnited Kingdom
CityBrighton
Period19/5/1219/5/17

Fingerprint

Audio signal processing
Factorization
Processing

Keywords

  • audio denoising
  • convex-optimization
  • data-driven approach
  • Instantaneous frequency
  • phase derivative

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

Masuyama, Y., Yatabe, K., & Oikawa, Y. (2019). Low-rankness of Complex-valued Spectrogram and Its Application to Phase-aware Audio Processing. In 2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings (pp. 855-859). [8683100] (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2019-May). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2019.8683100

Low-rankness of Complex-valued Spectrogram and Its Application to Phase-aware Audio Processing. / Masuyama, Yoshiki; Yatabe, Kohei; Oikawa, Yasuhiro.

2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. p. 855-859 8683100 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2019-May).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Masuyama, Y, Yatabe, K & Oikawa, Y 2019, Low-rankness of Complex-valued Spectrogram and Its Application to Phase-aware Audio Processing. in 2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings., 8683100, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 2019-May, Institute of Electrical and Electronics Engineers Inc., pp. 855-859, 44th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019, Brighton, United Kingdom, 19/5/12. https://doi.org/10.1109/ICASSP.2019.8683100
Masuyama Y, Yatabe K, Oikawa Y. Low-rankness of Complex-valued Spectrogram and Its Application to Phase-aware Audio Processing. In 2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2019. p. 855-859. 8683100. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). https://doi.org/10.1109/ICASSP.2019.8683100
Masuyama, Yoshiki ; Yatabe, Kohei ; Oikawa, Yasuhiro. / Low-rankness of Complex-valued Spectrogram and Its Application to Phase-aware Audio Processing. 2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 855-859 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).
@inproceedings{a17cadd233e74c52a86987e0be6cb012,
title = "Low-rankness of Complex-valued Spectrogram and Its Application to Phase-aware Audio Processing",
abstract = "Low-rankness of amplitude spectrograms has been effectively utilized in audio signal processing methods including non-negative matrix factorization. However, such methods have a fundamental limitation owing to their amplitude-only treatment where the phase of the observed signal is utilized for resynthesizing the estimated signal. In order to address this limitation, we directly treat a complex-valued spectrogram and show a complex-valued spectrogram of a sum of sinusoids can be approximately low-rank by modifying its phase. For evaluating the applicability of the proposed low-rank representation, we further propose a convex prior emphasizing harmonic signals, and it is applied to audio denoising.",
keywords = "audio denoising, convex-optimization, data-driven approach, Instantaneous frequency, phase derivative",
author = "Yoshiki Masuyama and Kohei Yatabe and Yasuhiro Oikawa",
year = "2019",
month = "5",
day = "1",
doi = "10.1109/ICASSP.2019.8683100",
language = "English",
series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "855--859",
booktitle = "2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings",

}

TY - GEN

T1 - Low-rankness of Complex-valued Spectrogram and Its Application to Phase-aware Audio Processing

AU - Masuyama, Yoshiki

AU - Yatabe, Kohei

AU - Oikawa, Yasuhiro

PY - 2019/5/1

Y1 - 2019/5/1

N2 - Low-rankness of amplitude spectrograms has been effectively utilized in audio signal processing methods including non-negative matrix factorization. However, such methods have a fundamental limitation owing to their amplitude-only treatment where the phase of the observed signal is utilized for resynthesizing the estimated signal. In order to address this limitation, we directly treat a complex-valued spectrogram and show a complex-valued spectrogram of a sum of sinusoids can be approximately low-rank by modifying its phase. For evaluating the applicability of the proposed low-rank representation, we further propose a convex prior emphasizing harmonic signals, and it is applied to audio denoising.

AB - Low-rankness of amplitude spectrograms has been effectively utilized in audio signal processing methods including non-negative matrix factorization. However, such methods have a fundamental limitation owing to their amplitude-only treatment where the phase of the observed signal is utilized for resynthesizing the estimated signal. In order to address this limitation, we directly treat a complex-valued spectrogram and show a complex-valued spectrogram of a sum of sinusoids can be approximately low-rank by modifying its phase. For evaluating the applicability of the proposed low-rank representation, we further propose a convex prior emphasizing harmonic signals, and it is applied to audio denoising.

KW - audio denoising

KW - convex-optimization

KW - data-driven approach

KW - Instantaneous frequency

KW - phase derivative

UR - http://www.scopus.com/inward/record.url?scp=85068986484&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85068986484&partnerID=8YFLogxK

U2 - 10.1109/ICASSP.2019.8683100

DO - 10.1109/ICASSP.2019.8683100

M3 - Conference contribution

AN - SCOPUS:85068986484

T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

SP - 855

EP - 859

BT - 2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

ER -