A causal LTI system has transfer function with x(1) and y(n) as discrete time input H(z)= 1- az-+ bz=2 and output of the system respectively. If given y(0) = 1, у(1) %3D 2, у(2) - 1, у(3) 3 3, х(2) - 2, and x(3) - 1.

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find the value of a and b

A causal LTI system has transfer function
1
H(z) =
with x(n) and y(n) as discrete time input
-1
1- az¬ + bz¬2
and output of the system respectively. If given y(0) =
1, y(1) = 2, y(2) = 1, y(3) = 3, x(2) = 2, and x(3) = 1.
%3D
Transcribed Image Text:A causal LTI system has transfer function 1 H(z) = with x(n) and y(n) as discrete time input -1 1- az¬ + bz¬2 and output of the system respectively. If given y(0) = 1, y(1) = 2, y(2) = 1, y(3) = 3, x(2) = 2, and x(3) = 1. %3D
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