Signals, sound, and sensation

This is a unique book on the mathematics of signals written for hearing-science researchers. Designed to follow an introductory text on psychoacoustic, 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.