EE5410 Signal Processing Unit Impulse Response Sequence h[n]
1. When the input to the FIR filter is a unit impulse sequence, ie, x[n] = delta[n], the output is, by definition, the unit impulse response, h[n].
2. substituting x[n] = delta[n] gives y[n] = h[n]
3. The impulse response h[n] of the FIR filter is simply the sequence of difference equation coefficients. Since h[0] = 0 for n < 0 and for n > M, the length of the impulse response sequence h[n] is finite.
4. This is why the system is called a finite impulse response ( FIR) system.
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