The Scientist and Engineer's Guide to Digital Signal Processing
by Steven W. Smith California Technical Publishing
ISBN 0-9660176-3-3 (1997)
Chapter 19. Recursive Filters
- The Recursive Method
- Single Pole Recursive Filters
- Narrow-band Filters
- Phase Response
- Using Integers
Recursive filters are an efficient way of achieving a long impulse response, without
having to perform a long convolution. They execute very rapidly, but have less
performance and flexibility than other digital filters. Recursive filters are also called
Infinite Impulse Response (IIR) filters, since their impulse responses are
composed of decaying exponentials. This distinguishes them from digital filters carried
out by convolution, called Finite Impulse Response (FIR) filters. This chapter
is an introduction to how recursive filters operate, and how simple members of the
family can be designed. Chapters 20, 26 and 31 present more sophisticated design
methods.
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