Fourier Series Table

# Fourier Series Table - C1 =-J4-To To 2To t and C = j-1 4 6....

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~ ~1 'el !J "] i cot ~ \$1; i~r' ~J 'h ~:j, ~{ ~l ~t "'I ~I ;~J if "j1f '~1 '\{! i ;i;" [ ~ If ~I It ~. i\ f ' ;~ i ~ ~ i, ~. , '. ,.f U 11 l t , "" Fourier Series ~ Fourier Series for Common Signals i. t ; ~ t I t t S,' Y) l (V ~ EJ f+"'~ .~ ) h C (?C) ~ O"VI 'Y' C fA Name Waveform Co Ck, k '1= 0 Comments 1. Square Xo .2Xo Ck = 0, 0 wave -T. 0 -T. t -J 7Tk k even -Xc 2. Xo . Xo . Xo Sawtooth 2 J27Tk -To 0 To 2To t 3. TriangUlar Xo -2Xo Ck = 0, wave Xo 2 (7Tk)2 k even - To 0 To ) t 4. Full-wave 2Xo -2Xo rectified -2TO-:'0 To 2T.3T.4T.: 7T 7T(4 - 1) J 5. f\ " r Ck= 0, k odd, except Half-wave (\ () Xo -Xc .Xo rectified 7T 7T( - 1)
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Unformatted text preview: C1 =-J4-To To 2To t and C = j-1 4 6. Rectangular Xo TXo TXo. Tkwo TkwQ-7TTk To-smc-wave To 2--Z-T;-To-TO I To 2To t 2 2 7. Impulse Xo Xo Xo Xo :!Q train To To-To To 2To t h e. vl f 5--.-. . h if Y t: .., r0 , If&lt; r( lJ I--L. .,,{ VI S-c . l J _I 4f&quot;'n((x) j\. ... '/JIlL Aih X bv.J-. Vvf iA Yt. .-IT:£....
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