Variable notation for DTFT?

  1. Can someone explain to me why sometimes I see the DTFT as functions of capital omegas or e^(jomega).

    I'm failing to see the reason.
     
  2. jcsd
  3. marcusl

    marcusl 2,117
    Science Advisor
    Gold Member

    [tex]\Omega[/tex] usually refers to continuous frequency, which is often appropriate for the DTFT. The z transform is also used heavily in DSP, and it covers the full complex plane. Use of [tex]exp(j\omega)[/tex] makes it very clear that you are evaluating the frequency response (which is on the unit circle).
     
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