Z-29 - Unit Shift a nd n ­Shift y(k)=u(k 1 1 1 0 5 0.5 0-1...

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Unformatted text preview: Unit Shift a nd n ­Shift y(k)=u(k+1) 1 1 0. 5 0.5 0 -1 0 1 2 3 4 5 6 7 8 9 0 -1 0 1 2 3 4 5 6 7 8 9 Ca vea t: u(0) d isa p p ea rs U(z) = u(0) + u(1)z−1 + u(2)z−2 + u(3)z−3 + ... Y(z) = y(0) + y(1)z− 1 + y(2)z− 2 + y(3)z− 3 + ... = u(1) + u(2)z−1 + u(3)z− 2 + u(4)z− 3 + ... Y(z) = zU(z) − zu(0) y(k)=u(k+n ) Y(z) = znU(z) − znu(0) − ... − zu(n ­ 1) C S851: Feed b a c k Control for Comp uter Systems ...
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