Given the difference equation: y(n)=[10x(n)-2x(n-1)-2ay(n-1)-y(n − 2)] 1-Find the discrete transfer function H(z) = Y(z) X(z)' 2-Draw a block diagram of this discrete system using delays and gains.

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Given the difference equation:
y(n)=[10x(n)-2x(n − 1) - 2ay(n − 1) - y(n − 2)]
Y(z)
1-Find the discrete transfer function H(z) =
X(z)
2-Draw a block diagram of this discrete system using delays and gains.
Solve the following difference equations: x(k+2) +3x(k+1) +2x(k)=0; x (0) =0, x (1)=1.
Find the inverse z-transform of X(z) using both long division and partial fraction
methods
X(z) =
1+ 2z+ 3z² + 4z3 + 5z4
Find the z-transform of the following function, assuming that T = 0.5 sec
Y(s) =
1
(s + 1)²
Transcribed Image Text:Given the difference equation: y(n)=[10x(n)-2x(n − 1) - 2ay(n − 1) - y(n − 2)] Y(z) 1-Find the discrete transfer function H(z) = X(z) 2-Draw a block diagram of this discrete system using delays and gains. Solve the following difference equations: x(k+2) +3x(k+1) +2x(k)=0; x (0) =0, x (1)=1. Find the inverse z-transform of X(z) using both long division and partial fraction methods X(z) = 1+ 2z+ 3z² + 4z3 + 5z4 Find the z-transform of the following function, assuming that T = 0.5 sec Y(s) = 1 (s + 1)²
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