There are a number of different, but equivalent ways to describe the relationship between the input and output of a discrete-time filter, including the impulse response, the system function, the frequency response, difference equations, and state variables. Each has its own particular advantage in certain derivations and calculations. We have previously introduced and used the impulse response in chapter 2; in this chapter we will define and study the other four. We will also discuss the distinction between finite-impulse-response and infinite-impulse-response filters and recursive and nonrecursive filter implementations.
KeywordsImpulse Response Difference Equation System Function Magnitude Response Filter Implementation
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