瞬間周波数 (Instantaneous frequency)
Instantaneous frequencyは位相を時間で微分したものである1。
* (Boashash, 1992)
* Abe, Toshihiko, Takao Kobayashi, and Satoshi Imai. “Harmonics tracking and pitch extraction based on instantaneous frequency.” International Conference on Acoustics, Speech, and Signal Processing, ICASSP-95., Vol. 1. IEEE, 1995.
Instantaneous phase and frequency - Wikipedia
the interval (-π, π] or [0, 2π) : wrapped phase
. Otherwise : unwrapped phase, which is a continuous function of argument t, assuming sa(t) is a continuous function of t.
Related Phase Shift2とやらを利用.
深層学習による位相情報を考慮した音声合成の検討
現在では位相が及ぼす影響は少なくないことが分かっており, 雑音除去などの分野では位相情報の重要性に関して研究がなされている 3.
音響特徴量
音響特徴量のリストはwikipediaへ移管 (音声分析/音響特徴量)。
- The IF is defined as the phase derivavative(※筆者注: 微分、導関数の意) with respect to time. from Abe 1995↩
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- Saratxaga et al., “Simple representation of signal phase for harmonic speech models,” Electronics letters, vol. 45, no. 7, pp. 381–383, 2009.
- K.K.Paliwai et al., “The importance of phase in speech enhancement,” Speech communication, vol. 53, no. 4, pp. 465–494, 2011.↩