Accounting for Phase difference

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Syed AWM
Syed AWM 2020-11-18
评论: Syed AWM 2020-11-18
I have got phase difference between harmonics of a sine wave as below. If I want to reconstruct the sine wave from its harmonics amplitude and phase, how do I consider the phase difference which is not an integer multiple of pi. I know that if it is odd multiple of pi, it is destructive interference and the waves should be opposite in sign. and if the phase difference is even multiple of pi, it is instructive intereference and waves are added together. What if phase difference is 1.5 multiple of pi?
phase difference.
0 -1.570796326794896 -3.141592653589793 -4.712388980384689 -6.283185307179585 -7.853981633974482 -9.424777960769378 -10.995574287564274 -12.566370614359171 -14.137166941154067 -15.707963267948964 -17.278759594743860 -18.849555921538755 -20.420352248333653 -21.991148575128548.
(0π, -1/2π, -π, -3/2π, -2π......)
  4 个评论
Bjorn Gustavsson
Bjorn Gustavsson 2020-11-18
For that case I'll give you the complex answer:
Syed AWM
Syed AWM 2020-11-18
exp(i*7*pi) gives: -1 + 0.000000000001i. does that mean the sign is would be positive as I have got +0.0000000001i?

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