- #1
Niles
- 1,866
- 0
Hi
Say I have a real quantity given by
[tex]
x(t) = \int_{ - \infty }^\infty {\tilde x(\omega )e^{ - i\omega t} d\omega }
[/tex]
Now I complex conjugate it (remember it is real)
[tex]
x(t) = \int_{ - \infty }^\infty {\tilde x^* (\omega )e^{ + i\omega t} d\omega }
[/tex]
How is it that I from this can conclude that we must have the relation
[tex]
{\tilde x^* (\omega )} = {\tilde x(-\omega )}
[/tex]
?
Niles.
Say I have a real quantity given by
[tex]
x(t) = \int_{ - \infty }^\infty {\tilde x(\omega )e^{ - i\omega t} d\omega }
[/tex]
Now I complex conjugate it (remember it is real)
[tex]
x(t) = \int_{ - \infty }^\infty {\tilde x^* (\omega )e^{ + i\omega t} d\omega }
[/tex]
How is it that I from this can conclude that we must have the relation
[tex]
{\tilde x^* (\omega )} = {\tilde x(-\omega )}
[/tex]
?
Niles.