## Filter Order

The maximum delay, in samples, used in creating each output sample is called the*order*of the filter. In the difference-equation representation, the order is the larger of and in Eq.(5.1). For example, specifies a particular second-order filter. If and in Eq.(5.1) are constrained to be finite (which is, of course, necessary in practice), then Eq.(5.1) represents the class of all

*finite-order causal LTI digital filters*.

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