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Question: for the periodic waveform gt shown in fig 1 is...

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BC: 8.1 For the periodic waveform, g(t), shown in Fig. 1, is a halfwave rectified ine where only the positive parts of the cosine are nonzero, and the sig nal is zero whenever the cosine would be negative Note the time units on the graph are milliseconds Use the definition of the Fourier series to determine a formula for the (possibly complex) coefficients, ak, for the exponential Fourier Series representation of the function (Hint: it is recommended to treat oo as a special case, and it is useful to expand the co- sine using the Euler identity for other values of ak) Evaluate the coefficients ao, ai,o-1,az and a 2 as complex numbers in polar form with the angle in degrees cos (5002t) gt) t(ms) Figure 1: Waveform for Problem 8.1

For the periodic waveform, g(t), shown in Fig. 1, is a“halfwave rectified” cosine where only the positive parts of the cosine are nonzero, and the signal is zero whenever the cosine would be negative. Note the time units on the graph are milliseconds. Use the definition of the Fourier series to determine a formula for the (possibly complex) coefficients, αk, for the exponential Fourier Series representation of the function. (Hint: it is recommended to treat α0 as a special case, and it is useful to expand the cosine using the Euler identity for other values of αk) Evaluate the coefficients α0,α1,α−1,α2 and α−2 as complex numbers in polar form with the angle in degrees.

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