... | ... | @@ -9,11 +9,11 @@ take the pulse shape into account. Figures 1 & 2 show the real pulse |
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shape when arriving in the
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filter.
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![](/uploads/24d655247b381770d692439b65d53a03/pulse.PNG)
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![](https://ohwr.org/project/r19-tdc-del-a/uploads/24d655247b381770d692439b65d53a03/pulse.PNG)
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*Figure 1 - Pulse shape. It does not look exactly as a Dirac
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pulse*
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![](/uploads/d9afa9541fe9e5b3a1709904ce064918/pulsezoom.PNG)
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![](https://ohwr.org/project/r19-tdc-del-a/uploads/d9afa9541fe9e5b3a1709904ce064918/pulsezoom.PNG)
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*Figure 2 - Zoom on the pulse shape*
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Once the corresponding mathematical model of the pulse is found, its
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... | ... | @@ -21,7 +21,7 @@ Laplace transform can be multiplied with the LC circuit transfer |
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function (Expressed in the following
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equation).
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![](/uploads/45e65cd23898a72589c3721eca4e61bf/transfer.PNG)
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![](https://ohwr.org/project/r19-tdc-del-a/uploads/45e65cd23898a72589c3721eca4e61bf/transfer.PNG)
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The inverse Laplace transform of the system "pulse + filter" can be
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deduced, giving a best suited mathematical model for the fitting.
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... | ... | @@ -32,9 +32,9 @@ for the pulse than can be easily converted in the Laplace domain. Tests |
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were done with the following model giving the result plotted in figure
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3.
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![](/uploads/5648cfcc83963a9e9214379bc92b3646/model.PNG)
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![](https://ohwr.org/project/r19-tdc-del-a/uploads/5648cfcc83963a9e9214379bc92b3646/model.PNG)
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![](/uploads/5fd940aa65cb9ad7bfbc916f3700714b/plot_model.png)
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![](https://ohwr.org/project/r19-tdc-del-a/uploads/5fd940aa65cb9ad7bfbc916f3700714b/plot_model.png)
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*Figure 2 - Plot of the example of the mathematical model*
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