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Thread: Complex exponential function

  1. #1
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    Question Complex exponential function

    |1-e-i2pi x+0.5e-i4pix|2

    Can someone help me develop this to find the correct answer?
    Thank you
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  2. #2
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    Re: Complex exponential function

    Quote Originally Posted by mathfn View Post
    |1-e-i2pi x+0.5e-i4pix|2
    Can someone help me develop this to find the correct answer?
    Do you know that $\overline{\exp(i\theta)}=\exp(-i\theta)$ You should prove it (hint: odd & even functions)
    Also use the fact that $|z|^2=z\cdot\overline{z}$

    So all you must do is multiply $(1-\exp(-i 2\pi x)+0.5\exp(- 4 i\pi x))(1-\exp(i 2\pi x)+0.5\exp(4 i\pi x))$
    Thanks from topsquark
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    Question Re: Complex exponential function

    Thank you so much, very helpful
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