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Find the Fourier series in complex exponential form for the signal shown in Figure P4.35 using the result of the sawtooth signal in table 4.3

Find the Fourier series in complex exponential form for the signal shown in Figure P4.35 using the result of the sawtooth signal in table 4.3

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Find the Fourier series in complex exponential form for the signal shown in Figure P4.35 using the result of the sawtooth signal in table 4.3
TABLE 4.3 Fourier Series for Common Signals Name Waveform C, C4, k # 0 Comments 1. x(t) Xo 2X0 -j Cx = 0, k even Square To To wave –Xo| 2. x(1) + Xo Xo Xo Sawtooth — То о To 2T0 3. x(t) Xo -2X0 (Tk)² C = 0, k even Triangular Xo 2 wave -То To 4. x(1) Xo 2X0 -2X0 Full-wave rectified T(4k² – 1) -27,-T, ol To 27, 3T, 4T, i Ck= 0, k odd, except 5. x(t) Xo Half-wave Xo -Xo Xo rectified (k² - 1) C = -j 4 -To To 2To t and C_1 =j 6. x(t) Xo Tkwo sinc- 2 Tkwo TX, To TX, To TTk Rectangular To wave — То —тоТ 2 To 2To t 7. x(t) A Impulse train Xo Xo ↑Xo Xo То To - To То 2То
Transcribed Image Text:TABLE 4.3 Fourier Series for Common Signals Name Waveform C, C4, k # 0 Comments 1. x(t) Xo 2X0 -j Cx = 0, k even Square To To wave –Xo| 2. x(1) + Xo Xo Xo Sawtooth — То о To 2T0 3. x(t) Xo -2X0 (Tk)² C = 0, k even Triangular Xo 2 wave -То To 4. x(1) Xo 2X0 -2X0 Full-wave rectified T(4k² – 1) -27,-T, ol To 27, 3T, 4T, i Ck= 0, k odd, except 5. x(t) Xo Half-wave Xo -Xo Xo rectified (k² - 1) C = -j 4 -To To 2To t and C_1 =j 6. x(t) Xo Tkwo sinc- 2 Tkwo TX, To TX, To TTk Rectangular To wave — То —тоТ 2 To 2To t 7. x(t) A Impulse train Xo Xo ↑Xo Xo То To - To То 2То
f(t) A 2 -3 -2 0, 1 2 3 4. t 1 -2 Figure P4.35
Transcribed Image Text:f(t) A 2 -3 -2 0, 1 2 3 4. t 1 -2 Figure P4.35
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