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
• FIR digital filter 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
• Statistical signal processing
• Gaussian function properties
• Bilinear audio frequency warping
• Examples in Matlab and Octave
• History of spectral modeling by topic

The next section gives an overview of the chapters.