Question: An FIR filter has a non-recursive input/output relation (a) Find the impulse response h[n] of this filter.Is this a causal and stable filter?Explain (b) Find

An FIR filter has a non-recursive input/output relation

γίn]Σw[n-k γ[n] kx[n k=0 k]

(a) Find the impulse response h[n] of this filter.Is this a causal and stable filter?Explain

(b) Find the unit-step response s[n] for this filter and plot it.

(c) If the input x[n] for this filter is bounded, ˆ£x[n]ˆ£ < 3, what would be a minimum bound Mfor the output, i.e., |y[n]| ‰¤ M.

(d) Use the function filterto compute the impulse response h[n] and the unit-step response s[n] for the given filter and plot them.

γίn]Σw[n-k γ[n] kx[n k=0 k]

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