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Anything related to Fourier series, Fourier transform and similar mathematical tools used to analyze the frequency content of a signal.

0 votes
1 answer
674 views

How to apply fourier transform to \$0.5^n u(n)\$

I have tried using this function \$f_1*f_2 = F_1 * F_2\$, where I'm assuming this means multiplication of two functions is equal to the convolution of their fourier transforms. … So I can calculate the fourier transorm of \$u(n)\$ fine. It is \$\pi\delta(\omega) + 1/(j\omega))\$. However, I cannot for the life of me figure out \$0.5^n\$. …
nathpilland's user avatar
4 votes
1 answer
375 views

Nyquist sampling rate with real and imaginary aliasing

However, the fourier transform of this function is \$F(\omega) = \pi(\delta(\omega+6) + \delta(\omega-6) + i\delta(\omega-5) - i\delta(\omega+5)\$. …
nathpilland's user avatar
0 votes
2 answers
651 views

What is the bandwidth of an imaginary convolution?

So when I take the Fourier Transform, I can rewrite the equation as such: \$F(\omega) \leftrightarrow F_1 * F_2\$. Easy so far. … The graph of the transform is fourier transform [sinc^2(3t)sin(100t)] (also on wolfram-alpha) …
nathpilland's user avatar