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Quiz 4 - 10 7ft “’0‘“?— ECE 408 QUIZ#4 20 POINTS...

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Unformatted text preview: 10 ' 7ft “’0‘“?— ECE 408 QUIZ #4 20 POINTS 1. The poles of the normalized lowpass filter are given by Q S = —0.5, S = —0.2 +j0.9, S = —0.2 ~j0.9 w and the zeroes of the same filter are given by S = 00, S = 00, S = 00 These poles and zeros are transformed to bandstop poles and zeros. (a) Find the bandstop poles and zeros when the low cutoff frequency of the bandstop filter is (01 = 7100 rad/s and the high cutoff frequency of the bandstop filter is (02 = 21000 rad/s. The cutoff frequencies 0); and a); are already prewarped. (b) Find the poles and zeros of the digital bandstop filter by transforming the poles and zeros found in part (a) using bilinear transformation when the sampling rate is fsampling = 10000 samples/s. ' N 6\1_M’LM L kKWJJ T’KK ( PQLEA 'r g; F0(L+)'o.°) #7 g 3" ,29/5’31 s r: 48%.!1 “j UEZOVV/ ; 2/0,; ”)Qf) A s = “OW/8’5 +j2./ " 5 :’;g}(,2 U 931%! 5 :f0 c“- 2 < T :2 ISLEKH 5/200 ”’5 g “j 2"“ ._ ”‘9‘“ gcxw *3 I) \ b)? {aw/53 W3 5 10000 s Mflgm / $4 %/C/Lo':b " 5 6 S 65"xl‘fiauwflx W )1 A =2: =o,q.s'm voyyfls fijmzm ahjofiéfif fin} 511M HEM 0.4%? HIM-19 2:?» oA—(SCQGI @8133933" “In :2. 2» off 5029731“??ng ”mu WM .22: mwfif‘fig i1 +yo,2§§“}5" :2“ M2:7OIL{5QOI’j0rQXO/J// ”\ 5% { (w ...
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