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The Scientist and Engineer's
Guide to Digital Signal Processing
by Steven W. Smith
California Technical Publishing
ISBN 0-9660176-3-3 (1997)
Chapter 5. Linear Systems
- Signals and Systems
- Requirements for Linearity
- Static Linearity and Sinusoidal Fidelity
- Examples of Linear & Nonlinear Systems
- Special Properties of Linearity
- Superposition: the Foundation of DSP
- Common Decompositions
- Alternatives to Linearity
- Summary of the key concepts
Most DSP techniques are based on a divide-and-conquer strategy called superposition.
The signal being processed is broken into simple components, each component is
processed individually, and the results reunited. This approach has the tremendous
power of breaking a single complicated problem into many easy ones. Superposition can
only be used with linear systems, a term meaning that certain mathematical rules apply.
Fortunately, most of the applications encountered in science and engineering fall into
this category. This chapter presents the foundation of DSP: what it means for a system
to be linear, various ways for breaking signals into simpler components, and how
superposition provides a variety of signal processing techniques.
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