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
N1 - Publisher Copyright:
© 2019 IEEE.
PY - 2019/5
Y1 - 2019/5
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 - Instantaneous frequency
KW - audio denoising
KW - convex-optimization
KW - data-driven approach
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.
T2 - 44th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019
Y2 - 12 May 2019 through 17 May 2019
ER -