### Example

It is easy to classify completely all first-order FIR filters:

where we have normalized to 1 for simplicity. We have a single zero at . If , the filter is minimum phase. If , it is maximum phase. Note that the minimum-phase case is the one in which the impulse response decays instead of grows. It can be shown that this is a general property of minimum-phase sequences, as elaborated in the next section.

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