Synthesis Theory - Chapter 10

Basic Concepts of Signal Processing

• Dynamic Range Processing
• Envelope Shapers
• Noise Gates
• Compressors
• Peak versus Average Detectors
• Compression Ratio
• Expanders
• Limiters
• Noise Reduction Units and Companders
• Dangers of Dynamic Range Processing

• Digital Filters
• Presenting Filter Theory to Musicians
• Filters: Background
• Impulse, Frequency, and Phase Response of a Filter
• Filters as Equations
• Simple Lowpass Filter
• Simple Highpass Filer
• General Finite-impulse-response Filters
• Simple Infinite-impulse-response Filters
• General Infinite-impulse-response Filters
• FIR versus IIT Filters
• Filter Design from an Arbitrary Specification
• Building Blocks of Complicated Filters
• Comb Filters
• FIR Comb Filters
• IIR Comb Filters
• Allpass Filters

• Convolution
• The Operation of Convolution
• Convolution by Scaled and Delayed Unit Impulses
• Mathematical Definition of Convolution
• Comparison of Convolution with Multiplication
• The Law of Convolution
• Relationship of Convolution of Filtering
• Fast Convolution
• Musical Significance of Convolution
• Filtering as Convolution
• Temporal Effects of Convolution
• Modulation as Convolution
• Convolution with Grains
• Linear versus Circular Convolution
• Deconvolution

• Fixed Time Delay Effects
• Comparison of DDL with FIR Lowpass and Comb Filters
• Implementation of a Delay Line
• Fixed Delay Effects
• Delays and Sound Localization

• Variable Time Delay Effects
• Flanging
• Phasing
• Chorus Effects

• Time/Pitch Changing
• Time/Pitch Changing by Time-granulation
• Electromechanical Time-granulation
• Digital Time-Granulation
• Time/Pitch Changing with a Harmonizer
• Time/Pitch Changing with the Phase Vocoder
• Overlap-add Transformations
• Tracking Phase Vocoder Transformations
• Time/Pitch Changing with the Wavelet Transform
• Time/Pitch Changing with Linear Predictive Coding
• Conclusion