Consider the following signal, for a time period of 2 π. u (t) = sin (t) for t ∈ [0; π] ; u (t) = 0 for t ∈ [π; 2π] (i) Determine the Fourier series of the signal.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following signal, for a time period of 2 π.
u (t) = sin (t) for t ∈ [0; π] ; u (t) = 0 for t ∈ [π; 2π]

(i) Determine the Fourier series of the signal.

(ii) Calculate the exact value of the signal strength.

(iii) Determine the percentage of error using the approximate value for the
signal strength. Take harmonics rank less than or equal to 100 to calculate the approximate value.

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