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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 2. Statistics, Probability and Noise
- Signal and Graph Terminology
- Mean and Standard Deviation
- Signal vs. Underlying Process
- The Histogram, Pmf and Pdf
- The Normal Distribution
- Digital Noise Generation
- Precision and Accuracy
Statistics and probability are used in Digital Signal Processing to characterize signals and
the processes that generate them. For example, a primary use of DSP is to reduce
interference, noise, and other undesirable components in acquired data. These may be
an inherent part of the signal being measured, arise from imperfections in the data
acquisition system, or be introduced as an unavoidable byproduct of some DSP
operation. Statistics and probability allow these disruptive features to be measured and
classified, the first step in developing strategies to remove the offending components.
This chapter introduces the most important concepts in statistics and probability, with
emphasis on how they apply to acquired signals.
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