32 lines
669 B
Markdown
32 lines
669 B
Markdown
+++
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title = "Interpolation"
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author = ["Dehaeze Thomas"]
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draft = false
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category = "Signals and Systems"
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+++
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Tags
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:
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## Band limited interpolation {#band-limited-interpolation}
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<https://en.wikipedia.org/wiki/Whittaker%E2%80%93Shannon_interpolation_formula>
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```matlab
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rng default
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```
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```matlab
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t = 1:10; % Time Vector [s]
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x = randn(size(t))'; % Sampled data [V]
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ts = linspace(-5,15,600); % New time vector [s]
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[Ts,T] = ndgrid(ts,t);
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y = sinc(Ts - T)*x;
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```
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<a id="figure--fig:interpolation-perfect-example"></a>
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{{< figure src="/ox-hugo/interpolation_perfect_example.png" caption="<span class='figure-number'>Figure 1: </span>Sampled and interpolated signals" >}}
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