HW01_solutions - Winter 2008 EECS 460 Homework #1 Solutions...

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EECS 4 Problem 1 2-1 (a) Po Z (c) Poles: Zeros (d) First, l Finite zero Finite pole Next, look any s C Since lim s →∞ not clear in Examples: 460 Home 1 oles: s = 0, 0, eros: s = 2, s = 0, 1 + j, s: s = 2, , look at the tran os: none es: 0, -1, -2 k at the time del , there are no f 2 s e depends n this case. lim e ω →∞ lim e σ →+∞ ework #1 S 1, 10; , , . 1 j; . nsfer function w Infi Infi lay 2 s e . Sinc finite poles. s on the directio 2 j does no 2 0 e = Solutions without the tim inite zeros: , inite poles: no ce 2 0 s e f on that s takes t exist (b) Poles: s = Zeros: s The roots e delay, ( ) Gs , one for any s C t in the complex = 2, 2; = 0, . s at s = 1 canc 1 ) 10 ( 1) ss = + there are no fin x plane, the no Wi cel each other. ) (2 ) s + . nite zeros. Sin tion of infinite inter 2008 nce 2 s e ≠ ∞ e poles and zero for os is
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Winter 2008 2 lim e σ →−∞ =+∞ etc. This is what we mean by the value of the limit depends on how s tends to infinity! For any rational
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HW01_solutions - Winter 2008 EECS 460 Homework #1 Solutions...

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