Plotting an Exponential Fourier Series

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Determining the phase angle of an exponential Fourier series involves expanding the coefficient Cn into its real and imaginary parts. The phase angle can then be calculated using the formula ø = ∠Dn, which is derived from the relationship tan-1(-bn/an). This method is consistent with the approach used for sines and cosines. Understanding this process is essential for accurately plotting the series. The discussion emphasizes the importance of correctly calculating the phase angle for effective Fourier analysis.
polaris90
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I'm having some problem in determining the phase of an exponential Fourier series. I know how to determine the coefficient which in turn gives me the series after I multiply by e^-(jωt)
I can determine the amplitude by dividing the coefficient by 2 |Dn| = Cn/2
Now my question is how to determine the phase angle. My book only gives me ø=∠Dn and it doesn't explain how they get the values. Do I have to expand Cn into its real and imaginary parts and then calculate the angle using tan-1(-bn/an) as I would when using sines and cosines?
 
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polaris90 said:
Do I have to expand Cn into its real and imaginary parts and then calculate the angle using tan-1(-bn/an) as I would when using sines and cosines?
Yes.
 

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