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Dec 29, 2020 at 18:50 comment added Mag I understand, thank you for taking the time to answer!
Dec 29, 2020 at 18:49 vote accept Mag
Dec 29, 2020 at 18:49 comment added Matt L. @Mag: You're right that the correct answer is indeed $f_s=320$ Hz. I just showed you a general way of proving it. You might not always have an impulse response for which you can readily see the result. Note that $j=e^{j\pi/2}$, and since $\pi$ corresponds to Nyquist, $\pi/2$ corresponds to half the Nyquist frequency.
Dec 29, 2020 at 18:44 comment added Mag With the Nyquist frequency being half the sample frequency, shouldn’t 80 Hz be at Nyquist? If not, it seems that my result is correct but my approach is wrong? Because then, according to your answer, 80 Hz should be at Fs/4 which would make Fs=320 Hz
Dec 29, 2020 at 17:22 history answered Matt L. CC BY-SA 4.0