On the relationship between multi-channel envelope and temporal fine structure

Authors

  • Peter L. Søndergaard Centre for Applied Hearing Research, Technical University of Denmark, DK-2800 Lyngby Denmark
  • Rémi Decorsière Centre for Applied Hearing Research, Technical University of Denmark, DK-2800 Lyngby Denmark
  • Torsten Dau Centre for Applied Hearing Research, Technical University of Denmark, DK-2800 Lyngby Denmark

Abstract

The envelope of a signal is broadly defined as the slow changes in time of the signal, where as the temporal fine structure (TFS) are the fast changes in time, i.e. the carrier wave(s) of the signal. The focus of this paper is on envelope and TFS in multi-channel systems. We discuss the difference between a linear and a non-linear model of information-extraction from the envelope, and show that using a non-linear method for information-extraction, it is possible to obtain almost all information about the originating signal. This is shown mathematically and numerically for different kinds of systems providing an increasingly better approximation to the auditory system. A corollary from these results is that it is not possible to generate a test signal containing contradictory information in its multi-channel envelope and TFS.

References

Balan, R., Casazza, P., and Edidin, D. (2006). “On signal reconstruction without phase”, Appl. Comput. Harmon. Anal. 20, 345–356.

Bargmann, V. (1961). “On a Hilbert space of analytic functions and an associated integral transform”, Commun. Pure Appl. Math. 14, 187–214.

Chassande-Mottin, E., Daubechies, I., Auger, F., and Flandrin, P. (1997). “Differential reassignment”, IEEE Sig. Proc. Letters 4, 293–294.

Dau, T., Püschel, D., and Kohlrausch, A. (1996a). “A quantitative model of the effec- tive signal processing in the auditory system. I. Model structure”, The Journal of the Acoustical Society of America 99, 3615–3622.

Dau, T., Püschel, D., and Kohlrausch, A. (1996b). “A quantitative model of the "ef- fective" signal processing in the auditory system. II. Simulations and measure- ments”, The Journal of the Acoustical Society of America 99, 3623.

Decorsière, R., Søndergaard, P. L., Buchholz, J., and Dau, T. (2011). “Modulation Filtering using an Optimization Approach to Spectrogram Reconstruction”, in Proceedings of Forum Acusticum (EAA).

Drullman, R., Festen, J., and Plomp, R. (1994). “Effect of temporal envelope smear- ing on speech reception”, The Journal of the Acoustical Society of America 95, 1053–1064.

Flanagan, J. L. and Golden, R. M. (1966). “Phase vocoder”, Bell System Technical Journal 45, 1493–1509.

Gabor, D. (1946). “Theory of communication”, J. IEE 93, 429–457.

Ghitza, O. (2001). “On the upper cutoff frequency of the auditory critical-band enve- lope detectors in the context of speech perception”, The Journal of the Acoustical Society of America 110, 1628.

Glasberg, B. and Moore, B. C. J. (1990). “Derivation of auditory filter shapes from notched-noise data.”, Hearing Research 47, 103.

Griffin, D. and Lim, J. (1984). “Signal estimation from modified short-time Fourier transform”, IEEE Trans. Acoust. Speech Signal Process. 32, 236–243.

Slaney, M., Inc, I., and Alto, P. (1995). “Pattern playback from 1950 to 1995”, in IEEE International Conference on Systems, Man and Cybernetics, 1995. Intelligent Systems for the 21st Century., volume 4.

Smith, Z., Delgutte, B., and Oxenham, A. (2002). “Chimaeric sounds reveal di- chotomies in auditory perception”, Nature 416, 87.

Søndergaard, P. L., Culling, J. F., Dau, T., Goff, N. L., Jepsen, M. L., Majdak, P., and Wierstorf, H. (2011a). “Towards a binaural modelling toolbox”, in Proceedings of the Forum Acousticum 2011.

Søndergaard, P. L., Torrésani, B., and Balazs, P. (2011b). “The Linear Time Frequency Analysis Toolbox”, International Journal of Wavelets, Multiresolution Analysis and Information Processing. Accepted for publication.

Additional Files

Published

2011-12-15

How to Cite

Søndergaard, P. L., Decorsière, R., & Dau, T. (2011). On the relationship between multi-channel envelope and temporal fine structure. Proceedings of the International Symposium on Auditory and Audiological Research, 3, 363–370. Retrieved from https://proceedings.isaar.eu/index.php/isaarproc/article/view/2011-42

Issue

Vol. 3 (2011): Speech Perception and Auditory Disorders

Section

2011/3. Models of speech processing and perception

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