1) Consider the cascade of the following two systems S, and S2, as depicted in Figure-1. w[n] x[n] S, S2 y[n] Figure-1 S1: casual LTI, w[n] =w[n – 1] + x[n] S2:casual LTI, y[n] = ay[n – 1] + Bw[n]. The difference equation relating x[n] to y[n] is: 1 3 y[n] = y[n – 2] +¬y[n– 1] + x[n] a) Determine a and ß. b) Show the impulse response of the cascade connection of S, and S2.

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1) Consider the cascade of the following two systems S, and S2, as depicted in Figure-1.
w[n]
x[n] >
S,
S2
y[n]
Figure-1
S1: casual LTI,
1
w[n] =;w[n – 1] + x[n]
S2:casual LTI,
y[n] = ay[n – 1] + Bw[n].
The difference equation relating x[n] to y[n] is:
1
3
y[n] = -gvln-2] +4기n-1] + x[미]
Determine a and ß.
Show the impulse response of the cascade connection of S, and S2.
а)
b)
Transcribed Image Text:1) Consider the cascade of the following two systems S, and S2, as depicted in Figure-1. w[n] x[n] > S, S2 y[n] Figure-1 S1: casual LTI, 1 w[n] =;w[n – 1] + x[n] S2:casual LTI, y[n] = ay[n – 1] + Bw[n]. The difference equation relating x[n] to y[n] is: 1 3 y[n] = -gvln-2] +4기n-1] + x[미] Determine a and ß. Show the impulse response of the cascade connection of S, and S2. а) b)
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