Implementation: FIR and IIR filters

Looking at just the impulse response, two questions arise. How do we implement a filter with a given impulse response? (This is an especially interesting question for an IIR system.) How do we determine the transfer function (frequency response)?

Both FIR and IIR filters can be implemented using difference equations. We will now treat the two cases (FIR and IIR) in order.

FIR filters

IIR filter

Example: First order IIR filter

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