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Fourier series for rectangular pulse function

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userXY

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I need help with the following question:

Derive the expression for coefficients of Fourier series in exponential form for the sequence of rectangular pulses (with amplitude A, period T and duration θ) shown in this image:

img.PNG

Derive the expression for signal power depending on the coefficients of Fourier series.


Question: Could someone show how to derive these expressions or give a reference for their derivation?

Note: This is not homework. I am practicing for exam.
 

Fourier is there in Engineering mathematics text books. In some signal processing text books also. Just Google it
 

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