7.27. A linear time-invariant discrete-time system has transfer function 3z H(z) = (z+0.5) (z - 0.5) The output response resulting from the input x[n] = u[n] and initial conditions y[-1] and y[-2] is y[n] = [(0.5) 3(-0.5)" + 4]u[n] Determine the initial conditions y[-1], y[-2], and the part of the output response due to the initial conditions.

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7.27. A linear time-invariant discrete-time system has transfer function
3z
H(z) =
(z+0.5)(z- 0.5)
The output response resulting from the input x[n] = u[n] and initial conditions y[-1] and
y[-2] is
y[n] = [(0.5)
3(-0.5)" + 4]u[n]
Determine the initial conditions y[-1]. y[-2], and the part of the output response due to
the initial conditions.
Transcribed Image Text:7.27. A linear time-invariant discrete-time system has transfer function 3z H(z) = (z+0.5)(z- 0.5) The output response resulting from the input x[n] = u[n] and initial conditions y[-1] and y[-2] is y[n] = [(0.5) 3(-0.5)" + 4]u[n] Determine the initial conditions y[-1]. y[-2], and the part of the output response due to the initial conditions.
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