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Update Content - 2024-12-17

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Thomas Dehaeze
2024-12-17 15:37:17 +01:00
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content/zettels/power_spectral_density.md
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@@ -9,7 +9,7 @@ Tags
Tutorial about Power Spectral Density is accessible [here](https://research.tdehaeze.xyz/spectral-analysis/).
A good article about how to use the `pwelch` function with Matlab <schmid12_how_to_use_fft_matlab>.
A good article about how to use the `pwelch` function with Matlab (<a href="#citeproc_bib_item_1">Schmid 2012</a>).
## Parseval's Theorem - Linking the Frequency and Time domain {#parseval-s-theorem-linking-the-frequency-and-time-domain}
@@ -109,7 +109,7 @@ Sxx_t = Pxx/d_f;
Sxx_o = 2*Sxx_t(1:L/2+1);
```
The result is shown in Figure [1](#figure--fig:psd-manual-example).
The result is shown in [Figure 1](#figure--fig:psd-manual-example).
<a id="figure--fig:psd-manual-example"></a>
@@ -122,7 +122,7 @@ This can also be done using the `pwelch` function which integrated a "window" th
[pxx, f] = pwelch(x, hanning(ceil(5/T_s)), [], [], 1/T_s);
```
The comparison of the two method is shown in Figure [2](#figure--fig:psd-comp-pwelch-manual-example).
The comparison of the two method is shown in [Figure 2](#figure--fig:psd-comp-pwelch-manual-example).
<a id="figure--fig:psd-comp-pwelch-manual-example"></a>
@@ -131,4 +131,6 @@ The comparison of the two method is shown in Figure [2](#figure--fig:psd-comp-pw
## Bibliography {#bibliography}
<./biblio/references.bib>
<style>.csl-entry{text-indent: -1.5em; margin-left: 1.5em;}</style><div class="csl-bib-body">
<div class="csl-entry"><a id="citeproc_bib_item_1"></a>Schmid, Hanspeter. 2012. “How to Use the Fft and Matlab’s Pwelch Function for Signal and Noise Simulations and Measurements.” <i>Institute of Microelectronics</i>.</div>
</div>