Model-based phase recovery of spectrograms via optimization on riemannian manifolds

Yoshiki Masuyama, Kohei Yatabe, Yasuhiro Oikawa

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

    7 Citations (Scopus)

    Abstract

    In acoustical signal processing, the importance of modifying the phase spectrogram has been shown. Recently, model-based phase recovery which is based on the sinusoidal model has been studied. Although their effectiveness has been proven, some of them deal with the phase in inflexible forms owing to the wrapping effect of phase. In addition, they need much pre-processing, including the estimation of the instantaneous frequency, which is not easy tasks. In order to overcome these issues, we propose a novel model-based phase recovery method which is formulated as an optimization over complex-valued phases. In the proposed method, the instantaneous frequency is not handled fixedly, which avoids the prior estimation of the instantaneous frequency. The technique of optimization on Riemannian manifolds is adopted for efficient computation. The proposed method is validated by noise reduction of audio signals.

    Original languageEnglish
    Title of host publication16th International Workshop on Acoustic Signal Enhancement, IWAENC 2018 - Proceedings
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages126-130
    Number of pages5
    ISBN (Electronic)9781538681510
    DOIs
    Publication statusPublished - 2018 Nov 2
    Event16th International Workshop on Acoustic Signal Enhancement, IWAENC 2018 - Tokyo, Japan
    Duration: 2018 Sep 172018 Sep 20

    Other

    Other16th International Workshop on Acoustic Signal Enhancement, IWAENC 2018
    CountryJapan
    CityTokyo
    Period18/9/1718/9/20

    Fingerprint

    spectrograms
    recovery
    Recovery
    optimization
    audio signals
    preprocessing
    Noise abatement
    noise reduction
    signal processing
    Signal processing
    Processing

    Keywords

    • Gradient descent
    • Instantaneous frequency
    • Non-convex optimization
    • Phase derivative
    • Sinusoidal modeling

    ASJC Scopus subject areas

    • Signal Processing
    • Acoustics and Ultrasonics

    Cite this

    Masuyama, Y., Yatabe, K., & Oikawa, Y. (2018). Model-based phase recovery of spectrograms via optimization on riemannian manifolds. In 16th International Workshop on Acoustic Signal Enhancement, IWAENC 2018 - Proceedings (pp. 126-130). [8521404] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IWAENC.2018.8521404

    Model-based phase recovery of spectrograms via optimization on riemannian manifolds. / Masuyama, Yoshiki; Yatabe, Kohei; Oikawa, Yasuhiro.

    16th International Workshop on Acoustic Signal Enhancement, IWAENC 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2018. p. 126-130 8521404.

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

    Masuyama, Y, Yatabe, K & Oikawa, Y 2018, Model-based phase recovery of spectrograms via optimization on riemannian manifolds. in 16th International Workshop on Acoustic Signal Enhancement, IWAENC 2018 - Proceedings., 8521404, Institute of Electrical and Electronics Engineers Inc., pp. 126-130, 16th International Workshop on Acoustic Signal Enhancement, IWAENC 2018, Tokyo, Japan, 18/9/17. https://doi.org/10.1109/IWAENC.2018.8521404
    Masuyama Y, Yatabe K, Oikawa Y. Model-based phase recovery of spectrograms via optimization on riemannian manifolds. In 16th International Workshop on Acoustic Signal Enhancement, IWAENC 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2018. p. 126-130. 8521404 https://doi.org/10.1109/IWAENC.2018.8521404
    Masuyama, Yoshiki ; Yatabe, Kohei ; Oikawa, Yasuhiro. / Model-based phase recovery of spectrograms via optimization on riemannian manifolds. 16th International Workshop on Acoustic Signal Enhancement, IWAENC 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 126-130
    @inproceedings{3def9775a5c04edcb2987505ede4fc39,
    title = "Model-based phase recovery of spectrograms via optimization on riemannian manifolds",
    abstract = "In acoustical signal processing, the importance of modifying the phase spectrogram has been shown. Recently, model-based phase recovery which is based on the sinusoidal model has been studied. Although their effectiveness has been proven, some of them deal with the phase in inflexible forms owing to the wrapping effect of phase. In addition, they need much pre-processing, including the estimation of the instantaneous frequency, which is not easy tasks. In order to overcome these issues, we propose a novel model-based phase recovery method which is formulated as an optimization over complex-valued phases. In the proposed method, the instantaneous frequency is not handled fixedly, which avoids the prior estimation of the instantaneous frequency. The technique of optimization on Riemannian manifolds is adopted for efficient computation. The proposed method is validated by noise reduction of audio signals.",
    keywords = "Gradient descent, Instantaneous frequency, Non-convex optimization, Phase derivative, Sinusoidal modeling",
    author = "Yoshiki Masuyama and Kohei Yatabe and Yasuhiro Oikawa",
    year = "2018",
    month = "11",
    day = "2",
    doi = "10.1109/IWAENC.2018.8521404",
    language = "English",
    pages = "126--130",
    booktitle = "16th International Workshop on Acoustic Signal Enhancement, IWAENC 2018 - Proceedings",
    publisher = "Institute of Electrical and Electronics Engineers Inc.",

    }

    TY - GEN

    T1 - Model-based phase recovery of spectrograms via optimization on riemannian manifolds

    AU - Masuyama, Yoshiki

    AU - Yatabe, Kohei

    AU - Oikawa, Yasuhiro

    PY - 2018/11/2

    Y1 - 2018/11/2

    N2 - In acoustical signal processing, the importance of modifying the phase spectrogram has been shown. Recently, model-based phase recovery which is based on the sinusoidal model has been studied. Although their effectiveness has been proven, some of them deal with the phase in inflexible forms owing to the wrapping effect of phase. In addition, they need much pre-processing, including the estimation of the instantaneous frequency, which is not easy tasks. In order to overcome these issues, we propose a novel model-based phase recovery method which is formulated as an optimization over complex-valued phases. In the proposed method, the instantaneous frequency is not handled fixedly, which avoids the prior estimation of the instantaneous frequency. The technique of optimization on Riemannian manifolds is adopted for efficient computation. The proposed method is validated by noise reduction of audio signals.

    AB - In acoustical signal processing, the importance of modifying the phase spectrogram has been shown. Recently, model-based phase recovery which is based on the sinusoidal model has been studied. Although their effectiveness has been proven, some of them deal with the phase in inflexible forms owing to the wrapping effect of phase. In addition, they need much pre-processing, including the estimation of the instantaneous frequency, which is not easy tasks. In order to overcome these issues, we propose a novel model-based phase recovery method which is formulated as an optimization over complex-valued phases. In the proposed method, the instantaneous frequency is not handled fixedly, which avoids the prior estimation of the instantaneous frequency. The technique of optimization on Riemannian manifolds is adopted for efficient computation. The proposed method is validated by noise reduction of audio signals.

    KW - Gradient descent

    KW - Instantaneous frequency

    KW - Non-convex optimization

    KW - Phase derivative

    KW - Sinusoidal modeling

    UR - http://www.scopus.com/inward/record.url?scp=85057367322&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=85057367322&partnerID=8YFLogxK

    U2 - 10.1109/IWAENC.2018.8521404

    DO - 10.1109/IWAENC.2018.8521404

    M3 - Conference contribution

    AN - SCOPUS:85057367322

    SP - 126

    EP - 130

    BT - 16th International Workshop on Acoustic Signal Enhancement, IWAENC 2018 - Proceedings

    PB - Institute of Electrical and Electronics Engineers Inc.

    ER -