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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 15. Moving Average Filters
- Implementation by Convolution
- Noise Reduction vs. Step Response
- Relatives of the Moving Average Filter
- Recursive Implementation
- Summary of the key concepts
The moving average is the most common filter in DSP, mainly because it is the easiest
digital filter to understand and use. In spite of its simplicity, the moving average filter is
optimal for a common task: reducing random noise while retaining a sharp step
response. This makes it the premier filter for time domain encoded signals. However,
the moving average is the worst filter for frequency domain encoded signals,
with little ability to separate one band of frequencies from another. Relatives of the
moving average filter include the Gaussian, Blackman, and multiple-pass moving average.
These have slightly better performance in the frequency domain, at the expense of
increased computation time.
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