Chapter 11. Introduction to the Design of Discrete Filters
When in doubt, don't.
Benjamin Franklin (1706–1790) Printer, inventor, scientist, and diplomat
In this chapter we introduce the design of discrete filters. This material complements the theory of analog and discrete filtering presented in previous chapters, and in particular provides continuity to the introduction to analog filter design from Chapter 6.
Filtering is an important application of linear time-invariant (LTI) systems. According to the eigenfunction property of LTI systems (Figure 11.1) the steady-state response of a discrete-time LTI system to a sinusoidal input—with a certain frequency, magnitude, and phase—is also a sinusoid of the same frequency as the input, ...