Z-34 - Exp onentia lly Mod ula ted sin/ c os 1 0 .8 0 .6 0...

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Unformatted text preview: Exp onentia lly Mod ula ted sin/ c os 1 0 .8 0 .6 0 .4 0 .2 0 -0 .2 -0 .4 -0 .6 -0 .8 -1 u (k ) = c o s( k * p i/ 6 ) * 0 .9 k 0 2 4 6 8 10 12 14 16 18 (a e iθ )k + (a e − iθ )k uexp c os(k) = a c os(kθ ) = 2 k (a e iθ )k − (a e − iθ )k u exp sin(k) = a sin(kθ ) = 2i k a ⋅ sin θ ⋅ z­1 U(z) = 1­ 2a ⋅ c osθ ⋅ z­1 + a 2 z− 2 a ⋅ sin θ ⋅ z­1 U(z) = 1­ 2a ⋅ c osθ ⋅ z­1 + a 2 z− 2 A damped oscillating signal – a typical output of a second order system C S851: Feed b a c k Control for Computer Systems ...
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This note was uploaded on 12/20/2009 for the course ECE 451 taught by Professor Staff during the Fall '09 term at Clarkson University .

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