Unformatted text preview: From Exp onentia l to Trig onometric
Uexp (z) = 1+ a z−1 + a 2 z− 2 + a 3 z− 3 + ... = 1 1 a z1 ? Z [c os(kθ)] ? Z [sin (kθ)] ? Euler Formula : e iθ = c osθ + isin θ
e − θ = c os(−θ ) + isin(−θ ) = c osθ − isinθ e iθ + e − iθ c osθ = 2
C S851: Feed b a c k Control for Comp uter Systems e i θ − e − iθ sin θ = 2i ...
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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 .
- Fall '09