How can I calculate the inverse Fourier transform of the following $$\frac{1}{1-\frac{1}{4}e^{-jw}}$$
I have tried looking at the table of Fourier transforms but I can't find anything useful. Thanks for any tips in advance.
2026-03-25 19:11:17.1774465877
Inverse Fourier transform of 1/(1-1/4*e^(-jw))
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The given expression can be written as a geometric series: $$\frac{1}{1 - \frac{1}{4}e^{-i\omega}} = \sum_{n=0}^{\infty}\frac{1}{4^n}e^{-i\omega n}$$ which looks like the discrete-time Fourier transform of the sequence $(1/4^n)_{n=0}^{\infty}$.