2 LTI Systems in Cascade = Two discrete-time Linear Time-Invariant (LTI) systems are connected in cascade, as il- lustrated in Figure 2. Find the output y[n] of the cascade system to the input x[n] S[n] [n 1], where d[n] is the unit-impulse sequence. Assume the impulse responses h₁ [n] = h₂[n] = u[n] - u[n- 4], where u[n] is the unit-step sequence. x[n]- y[n] h₁ [n] h₂[n] Figure 2. Cascade of two LTI systems.

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2 LTI Systems in Cascade
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Two discrete-time Linear Time-Invariant (LTI) systems are connected in cascade, as il-
lustrated in Figure 2. Find the output y[n] of the cascade system to the input x[n]
S[n] [n 1], where d[n] is the unit-impulse sequence. Assume the impulse responses
h₁ [n] = h₂[n]u[n] - u[n - 4], where u[n] is the unit-step sequence.
x[n]-
-y[n]
h₁ [n]
h₂[n]
Figure 2. Cascade of two LTI systems.
Transcribed Image Text:2 LTI Systems in Cascade = Two discrete-time Linear Time-Invariant (LTI) systems are connected in cascade, as il- lustrated in Figure 2. Find the output y[n] of the cascade system to the input x[n] S[n] [n 1], where d[n] is the unit-impulse sequence. Assume the impulse responses h₁ [n] = h₂[n]u[n] - u[n - 4], where u[n] is the unit-step sequence. x[n]- -y[n] h₁ [n] h₂[n] Figure 2. Cascade of two LTI systems.
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