Hi Everyone. I want to know what do you think about this Transfer function:(adsbygoogle = window.adsbygoogle || []).push({});

[itex] T(\omega) = \frac{e^{i\omega\tau}}{1-\rho e^{i2\omega\tau}} [/itex]

If[itex]\tau[/itex] is Real, this function is "good and pretty"(?), because it has a "nice" representation in time with its inverse transform: a delay plus a series of deltas displaced in time in [itex]n\tau[/itex] times [itex]\rho^n[/itex].

But the question is: What about if [itex]\tau[/itex] is Complex?? Is there a magical property that i'm missing to deal with this?

Sorry if i was mistaken on the election of the Forum. I don't know if this question may be in "Physics" because [itex] T(\omega) [/itex] is the Fabry-Perot Transfer Function, or in Engineering. And sorry for my English.

Thanks!

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# This Fourier Transfer Function properties?.

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