This problem is concerned with finding the output of an FIR

This problem is concerned with finding the output of an FIR filter for a given input signal. A linear time-invariant system is described by the difference equation: y[n] = sum{(k+5).x[n-k]} for k = 0 to 4 The input to this system is unit step signal, denoted by u[n], i.e., x[n] = u[n] = {0 for n lessthan 0, 1 for n Greaterthan =0} Determine the filter coefficients {bk} of this FIR filter. Determine the impulse response, h[n], for this FIR filter. Write h[n] as a sequence of numbers for n= -1 to 5. Use convolution to compute y[n], and write it as a sequence of numbers for n= -1 to 5.

Solution

FIR filter:- Filter impulse response , if you put an impulse , that is single 1 sample followed by many zeros sample zero will come out after the 1 sample has made its way through the delay of filter.

Finite Impulse Response (FIR) Filters

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N = 0, no feedback