Sparse Time-Frequency Representations for Polyphonic Audio Based on Combined Efficient Fan-Chirp Transforms

Costa MVM, Apolinário IF, Biscainho LWP. Sparse Time-Frequency Representations for Polyphonic Audio Based on Combined Efficient Fan-Chirp Transforms. J Audio Eng Soc. 2019;67(11):894-905. doi:10.17743/jaes.2019.0039

@article{Costa2019_20703,
  author = {Costa, Maurício V. M. and Apolinário, Isabela F. and Biscainho, Luiz W. P.},
  title = {{Sparse Time-Frequency Representations for Polyphonic Audio Based on Combined Efficient Fan-Chirp Transforms}},
  journal = {Journal of the Audio Engineering Society},
  volume = {67},
  number = {11},
  pages = {894--905},
  year = {2019},
  month = nov,
  publisher = {Audio Engineering Society},
  doi = {10.17743/jaes.2019.0039},
  url = {https://doi.org/10.17743/jaes.2019.0039}
}

TY  - JOUR
TI  - Sparse Time-Frequency Representations for Polyphonic Audio Based on Combined Efficient Fan-Chirp Transforms
AU  - Costa, Maurício V. M.
AU  - Apolinário, Isabela F.
AU  - Biscainho, Luiz W. P.
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 67
IS  - 11
SP  - 894
EP  - 905
PY  - 2019
DA  - 2019/11/06
DO  - 10.17743/jaes.2019.0039
UR  - https://doi.org/10.17743/jaes.2019.0039
PB  - Audio Engineering Society
LA  - en
AB  - In audio signal processing, several techniques rely on the Time-Frequency Representation (TFR) of an audio signal, and particularly in applications for music information retrieval. Examples include automatic music transcription, sound source separation, and classification of instruments playing in a musical piece. This paper presents a novel method for obtaining a sparse time-frequency representation by combining different instances of the Fan-Chirp Transform (FChT). The method described is comprised of two main steps: computing the multiple FChTs by means of the structure tensor; and combining them, along with spectrograms, using the smoothed local sparsity method. Experiments conducted with synthetic and real-world audio signals suggest that the proposed method is able to effectively yield much better TFRs than the standard short-time Fourier transform, especially in the presence of fast frequency variations; this allows using the FChT for polyphonic audio signals. As a result, the proposed method allows for better extraction of precise information from audio signals with multiple sources.
ER  -