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Speech Time-Frequency Representations

  • Michael D. Riley

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Michael D. Riley
    Pages 1-6
  3. Michael D. Riley
    Pages 7-52
  4. Michael D. Riley
    Pages 53-85
  5. Michael D. Riley
    Pages 87-119
  6. Michael D. Riley
    Pages 121-148
  7. Back Matter
    Pages 149-160

About this book

Introduction

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.

Keywords

Modulation correlation detection filtering filters windowing

Authors and affiliations

  • Michael D. Riley
    • 1
  1. 1.AT&T Bell LaboratoriesUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-1079-2
  • Copyright Information Springer-Verlag US 1989
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-8417-8
  • Online ISBN 978-1-4613-1079-2
  • Series Print ISSN 0893-3405
  • Buy this book on publisher's site