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ECE307HW.35.pdf

# ECE307HW.35.pdf - Angle of Foun'er Coelcients at the Output...

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Unformatted text preview: Angle of Foun'er Coelﬁcients at the Output 1x: 1:: - 2 2 I = X H rm) 3”” = J _" €90 ejnlemu: (f) 310.; " [ ”I "£23m —n2w§+50000j11w0+5><103 y(t) = 1:},ij + is“ |H(nwﬂ)‘ cos[na)ut+ 6'" + AH{na-Ju)} .. 2 2 _ 1 =05 : Z 1 ﬂ 6233-1353 2 cm[n231000£+%—m‘1[%]] -1 air"“((50001)"52331153)”+[5x10"’—320233111532]. x —n _ (g) y(t) = 0 + 0.02254 1504241000 + 4.1132) + 0.03513 1305(2'112000 + 3.0402) + 0.03954 cos(2113000t + 3.2939) + 0.03923 1505004000 + 3.0332) + 0.03321 cos(21:5000 + 2.3410) Approximation of Olﬂput ﬁt) with DC + Upto 51h Harmonic 0.2 Ht) D . ! ! I i i 1 1 1 I I I i i i I | | _. _,._ _ _ . .1. _. _ _,. ._ I I I i i i I | | I | | T0 = 11:05, 0) =1.-"To = 1 kHz. ma = 211:0) = 62811853 radis (a) 2A 0050193] 2A [—1)ll Xn=——2=— 2 :1: 1—411 531—413 221 4A —1" Xu=ao—cﬂ=—, an=—{ )2, n=1,2.3_......, bn=0. n=1.2_.3...... 9r 3: 1—411 0. =U.l.3.5...... 35\$. n=1,2_.3,.....,19"= ' n " ' ' 4(4312—1) 2r, n=2.4.15...... {b)n=0,1_.2,3,4,5, ..... Cn 0.6366 0.4244 0.0349 0.0364 0.0202 0.0129 0.0089 0.0065 0.0050 0.0039 0.0032 0.0026 0.0022 0.0019 0.0016 0.0014 0.0012 0.0011 0.0010 0.0009 0.0008 ...
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