(a) Determine a and B. (b) Show the impulse response of the cascade connection of S, integrals:

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
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Chapter17: Commercial And Industrial Air-conditioning Control Systems
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Part a and b

Chap. 2
Problems
141
S1 : causal LTI,
w[n] = w[n- 1] + x[n];
|
S2: causal LTI,
y[n] = ay[n - 1] + Bw[n].
The difference equation relating x[n] and y[n] is:
1
3.
y[n] =
yln - 2] +yln – 1] + x[n].
AVln – 1] + x[n].
%3D
(a) Determine a and B.
(b) Show the impulse response of the cascade connection of S, and S2.
2.20. Evaluate the following integrals:
(t) dt
Transcribed Image Text:Chap. 2 Problems 141 S1 : causal LTI, w[n] = w[n- 1] + x[n]; | S2: causal LTI, y[n] = ay[n - 1] + Bw[n]. The difference equation relating x[n] and y[n] is: 1 3. y[n] = yln - 2] +yln – 1] + x[n]. AVln – 1] + x[n]. %3D (a) Determine a and B. (b) Show the impulse response of the cascade connection of S, and S2. 2.20. Evaluate the following integrals: (t) dt
Determine y[n] if x[n] = 8[n – 1].
2.19. Consider the cascade of the following two systems S and S2, as depicted in Figure
P2.19:
%3D
w[n]
x[n] –
S1
S2
y[n]
Figure P2.19
Transcribed Image Text:Determine y[n] if x[n] = 8[n – 1]. 2.19. Consider the cascade of the following two systems S and S2, as depicted in Figure P2.19: %3D w[n] x[n] – S1 S2 y[n] Figure P2.19
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