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(20 pts) Pole-zero cancellation: common poles and zeros will bring us some issues in the system design and analysis. In this
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(stis) 1st 20 ) let b巳 ylSjsbus), US) response aking PaHol raction sSt2_ 3lst1 s)1s20)之 1A+0.0671S+2. uo potting Votve oF A, B 4 C in Eq - c. in Then 6.09 S+20 . Ineae lapiace 20L Sr2o StSt199)(s420) ThenIain put S- -9. in f Tnern う(-1.ggt2)= B(-1.99)(-1.99十20) nen 22 A(1-99) (20) Now puttng A and c in F^ -i S9 S2.0 Taking Ives9) 2 SIS-1 99)rs+20) Usinq paua action S-139S+20 2= At-1.39) (1,0 ) utfing A and C in Eq í J I hen , S19 aplaee Taking Te γ[In the anasiso Le.rm> «>.1 No pole - 7eso Canceuua Hon and Zzenoes aa e s perfose) Becruse Au poles et en S plane. crn esfosm

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