Variable notation for DTFT?!

Jammin_James

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.

marcusl

[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).

Similar Threads for: Variable notation for DTFT?!
Thread	Forum	Replies
Commutator-like notation, index notation	Advanced Physics Homework	2
MatLab and DFT and DTFT	Math & Science Software	2
[SOLVED] Summation Notation - Variable in the exponent	Calculus & Beyond Homework	2
DTFT question	Calculus & Beyond Homework	1
Numerical Integration, DTFT and possibily SUM	Calculus & Beyond Homework	0

Jammin_James	Variable notation for DTFT?! Tweet 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.

marcusl Recognitions: Science Advisor	[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).