File:Aliasing sinusoidal.gif
Summary
| Description |
English: If you don't sample with enough frequency (twice the frequency of the signal you want to measure, as per Nyquist theorem), the signal you recover can be very different from the real one. |
| Date | |
| Source | https://twitter.com/j_bertolotti/status/1221788151741648897 |
| Author | Jacopo Bertolotti |
| Permission (Reusing this file) |
https://twitter.com/j_bertolotti/status/1030470604418428929 |
Mathematica 11.0 code
sampling = Table[E^j, {j, -4, 2, 0.015}](*Table[10^j,{j,-2,0.7,0.01}]*);
p1 = Table[
Show[
ListPlot[Table[{x, Sin[2 \[Pi] x]}, {x, 0, 10, 1/50}], Joined -> True, DataRange -> {0, 10}, PlotStyle -> {Thick, Black}],
ListPlot[Table[{x, Sin[2 \[Pi] x]}, {x, 0, 20, j}], Joined -> False, DataRange -> {0, 10}, PlotStyle -> {Red, PointSize[0.015]}],
ListPlot[Table[{x, Sin[2 \[Pi] x]}, {x, 0, 20, j}], Joined -> True, DataRange -> {0, 10}, PlotStyle -> {Red}]
, Axes -> False
]
, {j, sampling}];
ListAnimate[p1]
Licensing
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