1. Engineering
2. Electrical Engineering
3. for the periodic waveform gt shown in fig 1 is...

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

###### Question details

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.