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Asked Nov 19, 2019
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PROBLEM #1: Compute the coefficients of the exponential Fourier series expansion for the function given in
the interval 0,T. Sketch the amplitude spectrum aand sketch the function represented by the Fourier
series for -Tsts2T.
Asin(27nt/T), 0<tsT/2
x(t)=
(Half-wave rectified sinusoid)
T 2stsT
0,
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PROBLEM #1: Compute the coefficients of the exponential Fourier series expansion for the function given in the interval 0,T. Sketch the amplitude spectrum aand sketch the function represented by the Fourier series for -Tsts2T. Asin(27nt/T), 0<tsT/2 x(t)= (Half-wave rectified sinusoid) T 2stsT 0,

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Expert Answer

Step 1

Determine the Fourier series coefficients for the given function.

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2Tt 1 dt Asin а, Т т 2л - cos A Т 2л T т 0 А =0.318.A

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Step 2
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2лt sin no,tdt Asin Т т А bg ifn 1 2 b 0 if n1

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Step 3
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27t cos no tdt т Asin T -2A 1 4m2-1 2

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