Shown below is a cascade of two LTI systems with impulse responses of h1[n] and h2[n]. The input to the overall system is x[n] and the output from the total system is z[n], where x[n] = u[n +3], h1[n] = (0.5)¹u[n] and h2[n] S[n] [n 2]. Provide a mathematical expression for z[n]. Hint: Use properties. x[n] h1[n] y[n] h2[n] - z[n]

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Shown below is a cascade of two LTI systems with impulse responses of h1[n] and
h2[n]. The input to the overall system is x[n] and the output from the total system is
z[n], where x[n] = u[n +3], h1[n] = (0.5)ru[n] and h2[n] = 8[n] — d[n − 2]. Provide a
mathematical expression for z[n]. Hint: Use properties.
x[n]
h1 [n]
y[n]
h2[n]
z[n]
Transcribed Image Text:Shown below is a cascade of two LTI systems with impulse responses of h1[n] and h2[n]. The input to the overall system is x[n] and the output from the total system is z[n], where x[n] = u[n +3], h1[n] = (0.5)ru[n] and h2[n] = 8[n] — d[n − 2]. Provide a mathematical expression for z[n]. Hint: Use properties. x[n] h1 [n] y[n] h2[n] z[n]
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