FIXME: Consider adding a section here on the one-zero filter, as in the filter tutorial. Or scan it, finally.
FIXME: Leverage Matlab here -- this is analysis
Figure B.1 depicts the general, causal, finite-impulse-response filter (FIR). The impulse response is obtained at the output when the input signal is the impulse signal . More formally, the impulse signal is defined by
If the th tap is denoted , then it is obvious from Fig. B.1that the impulse response signal is given by
In other words, the impulse response simply consists of the tap coefficients, prepended and appended by zeros.