Now consider a causal filter with difference equation y[n] = x[n] + 0.8 [n-1] y[n] = x[n] + 0.8 y[n-1] Is this filter IIR or FIR? FIR IIR why?___Find the System Function H(z) including R.O.C. H(z) = R.O.C: Find the system unit sample response (impulse response) h[n] = Sketch the Pole zero plot including R.O.C. Find the filter unit-step response (output y[n] when the input is a unit-step function u[n]). y[n]= Direct Form 1 Block Diagram realization of the filer:

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