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2
votes
Accepted
What does the two following formulas mean?
As you say,
$$ f\le \frac{f_s}{2} \tag{1}$$
is the Nyquist criterion or frequency. It means that, to avoid aliasing (frequency domain folding), a signal must have frequencies below $\frac{f_s}{2}$. …
1
vote
Minimum sample frequency of IMU accelerometer and gyroscope
state anything better than Marcus's or Maxtron's comments (it's that way because it's always been that way / because the hardware is limited to that rate), but another way to think about it is:
The Nyquist …
6
votes
Is there a way to compute the spectrum effect of a non-linear function?
Stealing$^\dagger$ from this answer:
For non-linear functions that admit a series expansion (e.g.
Taylor/Maclaurin), you can get a decent intuition for how fast the
harmonics decay. The Maclaurin exp …
4
votes
Accepted
How is the maximum theoretical data rate of a channel equal to $2B\log_2(V)$ bits/sec.?
To answer your question in the comment, the part you refer to in your question is:
So Tannenbaum is appealing to the Nyquist sampling criterion: that a signal of bandwidth $B$ can be sampled at $2B$ samples …
2
votes
Why are real-world digital images not bandlimited?
This is an old chestnut. One of the earlier (but relatively recent) musings about this topic for general signals is Slepian's On Bandwidth.. A screenshot of the abstract is below.
29
votes
Accepted
What sampling frequency should I use if Nyquist is not available?
HINT
When you sample at below the Nyquist rate, aliasing happens. That means frequencies higher than half the sampling rate get folded back down to below half the sampling rate. …