Find h[n], the unit impulse response of the systems in Probs. 5.3-18, 5.3-19, and 5.3-21.

Prob. 5.3-18:

a. Find the zero-state response of an LTID system with transfer function

and the input x[n] = e⁽ⁿ⁺¹⁾u[n].

b. Write the difference equation relating the output y[n] to input x[n].

Prob. 5.3-19:

Repeat Prob. 5.3-18 for

and the input x[n] is

a. (4)^−n[n]

b. (4)^{−(n−2)}u[n−2]

c. (4)^{−(n−2)}u[n]

d. (4)^−nu[n−2]

Prob. 5.3-18:

a. Find the zero-state response of an LTID system with transfer function

and the input x[n] = e⁽ⁿ⁺¹⁾u[n].

b. Write the difference equation relating the output y[n] to input x[n].

Prob. 5.3-21:

Repeat Prob. 5.3-18 for x[n] = u[n] and

Prob. 5.3-18:

a. Find the zero-state response of an LTID system with transfer function

and the input x[n] = e⁽ⁿ⁺¹⁾u[n].

b. Write the difference equation relating the output y[n] to input x[n].

 

 

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