### FIR Transfer Function

The*transfer function*of an FIR filter is given by the

*z*transform of its impulse response. This is true for any LTI filter, as discussed in Chapter 6. For FIR filters in particular, we have, from Eq.(5.6),

Thus, the transfer function of every length FIR filter is an th-order

*polynomial*in .

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Causal FIR Filters