Review Note

Last Update: 01/04/2024 02:22 PM

Current Deck: visual_computing

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Front Definition Question

if f(x) is an odd function and real-valued, then what can be said about it's fourier transform?

Back Answer

F(w) will also be odd but purely imaginary

Back Explanation

if f(t) is odd function then the integral of f(t)*cos(wt) will be 0 since odd func * even func = odd func, and the integral over symmetric limits of an odd function is 0, therefore what's left is the integral of f(t)*sin(wt) *multiplied by i so imaginary*

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