1.1. Steps in the initial auditory processing. 4 2 THE
TIME-FREQUENCY ENERGY REPRESENTATION 2.1. Short-time spectrum of a
steady-state Iii. 9 2.2. Smoothed short-time spectra. 9 2.3.
Short-time spectra of linear chirps. 13 2.4. Short-time 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. Time-frequency autocorrelation function of /wioi/.
49 2.15. Gaussian transform of Iwioi/. 50 2.16. Directional
transforms of lwioi/. 52 3 TIME-FREQUENCY FILTERING 3.1. Recovering
the transfer function by filtering. 57 3.2. Estimating 'aliased'
transfer function. 61 3.3. T-F autocorrelation function of an
impulse train. 70 3.4. T-F autocorrelation function of LTI filter
output. 70 Windowing recovers transfer function. 3.5. 72 3.6.
Shearing the time-frequency autocorrelation function. 75 3.7. T-F
autocorrelation function for FM filter. 76 3.8. T-F autocorrelation
function of FM filter output. 77 3.9. Windowing recovers transfer
function. 79 4 THE SCHEMATIC SPECTROGRAM Problems with pole-fitting
approach.
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