Determine the amplitude of the fifth-harmonic component

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Reference no: EM13277857

The complex exponential Fourier Series of a signal over an interval 0≤t≤To is

X (t) = 4/ π - 2 sin (10πt) + Σ 8/ (1-n^2) * cos (10πt)
where n = 2 & n = even

a) Determine the numerical value of To.
b) What is the average value of f(t) over the interval 0≤t≤To?
c) Determine the amplitude of the fifth-harmonic component.
d) Determine the phase of the fifth-harmonic component.
e) Write an expression for the fifth harmonic term in the Fourier series in terms of the complex exponential Fourier series.

Reference no: EM13277857

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