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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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