a.) 7 h[n] = Σ(n² − 1)8[n — k] k=3 (hint: is there another way to express h[n]?) b.) y[n] = 1.4x[n − 1] +2.2x[n − 4] +0.75x[n - 7] c.) n+1 h[n] = ( − 1) "* ¹ - u[n 1] + (0.65)" u[n - 3] d.) - y[n] = 0.2y[n 1] -0.75y[n 2] + 25x[n] − 16x[n − 1] -

Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
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Determine the z-domain transfer function for each of the following LTI systems. The impulse response for these expressions is denoted by h[n], the input signal by x[n], and the output signal by y[n]. Provide your response as the ratio of two finite-order z polynomials or as a z polynomial of finite order. Assume that the input signal starts at n = 0 or later in every scenario. For n < 0, further suppose that y[n] = 0. Indicate if the system is IIR or FIR.

a.)
7
h[n] = Σ(n² − 1)8[n — k]
k=3
(hint: is there another way to express h[n]?)
b.)
y[n] = 1.4x[n − 1] +2.2x[n − 4] +0.75x[n - 7]
c.)
n+1
h[n] = ( − 1) "* ¹
-
u[n 1] + (0.65)" u[n - 3]
d.)
-
y[n] = 0.2y[n 1] -0.75y[n 2] + 25x[n] − 16x[n − 1]
-
Transcribed Image Text:a.) 7 h[n] = Σ(n² − 1)8[n — k] k=3 (hint: is there another way to express h[n]?) b.) y[n] = 1.4x[n − 1] +2.2x[n − 4] +0.75x[n - 7] c.) n+1 h[n] = ( − 1) "* ¹ - u[n 1] + (0.65)" u[n - 3] d.) - y[n] = 0.2y[n 1] -0.75y[n 2] + 25x[n] − 16x[n − 1] -
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