Signals, Sound, and Sensation

"Signals, Sound, and Sensation is of great importance to the hearing science community. . . If I were to give an advanced course, this is precisely the book I would recommend." (W. Dixon Ward, University of Minnesota)

This is a unique book on the mathematics of signals written for hearing-science researchers. Designed to follow an introductory text on psychoacoustics, Signals, Sound, and Sensation takes the reader through the mathematics of signal processing from its beginnings in the Fourier transform to advanced topics in modulation, dispersion relations, minimum phase systems, sampled data, and nonlinear distortion.

While the book is organized like an introductory engineering text on signals, the examples and exercises come from research on the perception of sound. A unique feature of the book is the consistent application of the Fourier transform, which unifies topics as diverse as cochlear filtering and digital recording. More than 250 exercises are included. Many of them are devoted to practical research in perception, while others explore surprising auditory illusions generated by special signals. A working knowledge of elementary calculus is the only prerequisite.

Signals, Sound, and Sensation will help readers acquire the quantitative skills they need to solve signal problems that arise in their everyday work. Periodic signals, aperiodic signals, and noise - along with their linear and nonlinear transformations - are covered in detail. More advanced mathematical topics are treated in the appendices.

In no other book are signal mathematics and psychoacoustics so neatly intertwined. Researchers and advanced students in the psychology of auditory perception will find this book indispensable.

Preface.- 1. Pure Tones.- 2. Complex Representation.- 3. Power, Intensity, and Decibels.- 4. Intensity and Loudness.- 5. Fourier Series.- 6. Perception of Periodic Complex Tones.- 7. Delta Functions.- 8. Fourier Integral.- 9. Filters.- 10. Auditory Filters.- 11. Musical Measures of Frequency.- 12. Pitch of Sine Tones.- 13. Applications of the Fourier Transform.- 14. Correlation Functions and Spectra.- 15. Delay-and-Add Filtering.- 16. Probability Density Functions.- 17. Beats and Amplitude Modulation.- 18. The Envelope.- 19. Frequency Modulation.- 20. Modulation Detection and Perception.- 21. Sampled Signals.- 22. Nonlinear Distortion.- 23. Noise.- 24. Signal Detection Theory.- Appendices A - K.- References.- Index.