ECE307HW.23.pdf - 15.22 To = 11113 f0 =1"To = 1 kHz...

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Unformatted text preview: 15.22. To = 11113, f0 =1.-"To = 1 kHz, coo = 27:01 = 62831853 rad-"s, d = ’l3.-"To = 1.-"2. (a) Xn = Ad sinc(nd) = 0.5 sinc(11-"2), 80 = 0.5, 8., = sinc(n-"2), 13., = 0, cI1 = |0.5 sinc(n-"2)|, 0n = 0 when an 2 0 and 8.1 = ‘11: when 8., 4 0. Notice that an 4 0 when n =3,7,11, etc. (b)n=0, 1,2,3,4, 5, cn 0.500000000000000 0.636619772367581 0.000000000000000 0.212206590789194 0.000000000000000 0.127323954473516 0.000000000000000 0.090945681766797 0.000000000000000 0.070735530263065 0.000000000000000 0.057874524760689 3,. 0 0 0 3.141592653589793 0 0 0 3.141592653589793 0 0 0 3.141592653589793 Fcun'er Coeflicients cn 'n 1162811853 HOW“) — _ J 023 — _ I 31100 + 20000 J1196283 .1853 + 20000 |H(nwfl)| = 1162831853 (H6233.1853)2 + 200002 AHma’o ) = E — tem—1 [M] 2 20000 H010»): n = 0,1, 2., 3, 4, 5 0 0.089830162353725 0.283043199675102 0.470413146555945 0.612273363260849 0.711599560857999 H(-ncog) = H‘QJGID] |H(nmo)|: n = 0, 1, 2, 3, ..... 0.2859382875468551 0.4504772433683891 0.4991238504652731 0.4872316614323191 0.4530183504502901 +++++ 0 0.299716803589196 0.532018044501408 0.685866711946239 0.782478985826999 0.843563608068769 0.883384045923399 0.910303727832004 0.929152033578139 1 H010»): n= 0, 1, 2, 3, (radians) 0 1.266400529430282 1.009814210686273 0.815002310635589 0.672159233738554 0.566911504941010 0.487761707458711 0.426779109175564 0.378683808055810 ...
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