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57 views

Nyquist sampling rate with real and imaginary aliasing

I need to calculate the Nyquist sampling rate of the function $x(t) = cos(6t)-sin(5t)$. By definition the Nyquist sampling rate is the minimum value of $\omega_s$ that yields no aliasing ...
58 views

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Nyquist-Shannon sampling theorem and highest frequency

Nyquist-Shannon sampling theorem states that sufficient condition for sampling is sampling rate higher than twice the highest frequency. By highest frequency, does this refer to the highest ...
635 views

A signal that can be transformed by Fourier transform and its frequency

A signal A, which is in time domain, can be transformed by Fourier transform into its frequency contents. Then, is the signal A's frequency the highest frequency part of its Fourier transform? (i.e. ...
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Harmonic and Fourier transform

I heard somewhere that Fourier transform only works on a signal that contains parts that are harmonic to each other (i.e. f, 2f, 3f etc.). Can anyone explain me on proof of this? Or if I am mistaken, ...
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What exactly are harmonics and how do they “appear”?

From reading so many sources online, I still cannot grasp why a different waveforms have harmonics. For example: when designing a silly amplitude modulation (AM) circuit that puts a square wave from ...
861 views

Scaling FFT output by number of points in FFT

When computing the N-point FFT of some signal, the result is always divided by N. I can understand why this is the case for a summation over the N points, but often the result of the FFT operation is ...