Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Representations of the Fourier's integral

  1. Jan 27, 2014 #1
    If exist 3 representations for fourier series (sine/cosine, exponential and amplite/phase) and at least two fourier integral that I know
    [tex]f(t)=\int_{0}^{\infty }A(\omega)cos(\omega t) + B(\omega)sin(\omega t)d\omega[/tex]
    [tex]f(t)=\int_{-\infty }^{+\infty }\frac{e^{+i\omega t}}{\sqrt{2\pi}} F(\omega)d\omega[/tex]
    So, exist too a representation for fourier integral in amplitude/phase notation? How is it?
    Other question: ##A(\omega)## and ##B(\omega)## are the sine and cosine transforms?
    And another ask: I can relates F(ω) with A(ω) and B(ω), like we do in series fourier ##\left (|c_{n}|=\frac{1}{2}\sqrt{a_{n}^{2} + b_{n}^{2}} \right )##?
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted