1. Apply a recursion approach to solve the following causal LTI syster problem: y[n] +4 y[n- 1]-3y[n-2] = x[n] - 2x[n-1], %3! (a) Find and sketch the impulse response, h[n]. (b) Is the system FIR or IIR? (c) Sketch its step response, s[n]. Id) Drau

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1. Apply a recursion approach to solve the following causal LTI system
problem:
y[n] +4 y[n - 1] - 3y[n - 2] = x[n] - 2x[n-1],
(a) Find and sketch the impulse response, h[n].
(b) Is the system FIR or IIR?
(c) Sketch its step response, s[n].
(d) Draw the direct form and direct-form Il implementation of the above
difference equation.
Transcribed Image Text:1. Apply a recursion approach to solve the following causal LTI system problem: y[n] +4 y[n - 1] - 3y[n - 2] = x[n] - 2x[n-1], (a) Find and sketch the impulse response, h[n]. (b) Is the system FIR or IIR? (c) Sketch its step response, s[n]. (d) Draw the direct form and direct-form Il implementation of the above difference equation.
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