Organization

The chapters are organized in a progression from basic spectrum analysis to more advanced frequency-domain signal processing as follows:

• Fourier transforms and theorems
• Spectrum analysis windows and their design
• Spectrum analysis of sinusoids
• Spectrum analysis of noise
• Time-frequency displays
• The Short-Time Fourier Transform (STFT)
• Overlap-add STFT processing
• Filter-bank view of the STFT
• Applications of the STFT
• Multirate polyphase and wavelet filter banks

In addition, appendices are provided containing material that extends and supplements various chapters in various directions. Others provide supporting background material:

• Notation
• Continuous-time Fourier theorems
• Gaussian function properties
• Statistical signal processing
• FIR digital filter design
• Bilinear audio frequency warping
• Examples in Matlab and Octave
• History of spectral modeling by topic

The next section gives an overview of the chapters.

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About the Author: Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.