Speech TimeFrequency Representations (The Springer International Series in Engineering and Computer Science, 63),Used

Speech TimeFrequency Representations (The Springer International Series in Engineering and Computer Science, 63),Used

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1.1. Steps in the initial auditory processing. 4 2 THE TIMEFREQUENCY ENERGY REPRESENTATION 2.1. Shorttime spectrum of a steadystate Iii. 9 2.2. Smoothed shorttime spectra. 9 2.3. Shorttime spectra of linear chirps. 13 2.4. Shorttime spectra of /w /'s. 15 2.5. Wide band spectrograms of /w /'s. 16 Spectrograms of rapid formant motion. 2.6. 17 2.7. Wigner distribution and spectrogram. 21 2.8. Wigner distribution and spectrogram of cos wot. 23 2.9. Concentration ellipses for transform kernels. 28 2.10. Concentration ellipses for complementary kernels. 42 42 2.11. Directional transforms for a linear chirp. 47 2.12. Spectrograms of /wioi/ with different window sizes. 2.13. Wigner distribution of /wioi/. 49 2.14. Timefrequency autocorrelation function of /wioi/. 49 2.15. Gaussian transform of Iwioi/. 50 2.16. Directional transforms of lwioi/. 52 3 TIMEFREQUENCY FILTERING 3.1. Recovering the transfer function by filtering. 57 3.2. Estimating 'aliased' transfer function. 61 3.3. TF autocorrelation function of an impulse train. 70 3.4. TF autocorrelation function of LTI filter output. 70 Windowing recovers transfer function. 3.5. 72 3.6. Shearing the timefrequency autocorrelation function. 75 3.7. TF autocorrelation function for FM filter. 76 3.8. TF autocorrelation function of FM filter output. 77 3.9. Windowing recovers transfer function. 79 4 THE SCHEMATIC SPECTROGRAM Problems with polefitting approach.

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