From 77d6bf93a935afd55b8c39af31340f16688b066f Mon Sep 17 00:00:00 2001 From: PinkR1ver <3180102330@zju.edu.cn> Date: Wed, 17 Apr 2024 11:25:51 +0800 Subject: [PATCH] Change folder strucutre --- .../attachments/Pasted image 20240415171344.png | Bin .../attachments/Pasted image 20240415171351.png | Bin .../attachments/Pasted image 20240415171510.png | Bin .../attachments/Pasted image 20240415171736.png | Bin .../attachments/Pasted image 20240415171834.png | Bin .../attachments/Pasted image 20240415171855.png | Bin .../autocorrelation/autocorrelation.md | 14 +++++++------- .../autocorrelation/period_detection.md | 0 .../signal_processing/signal_processing_MOC.md | 4 ++-- 9 files changed, 9 insertions(+), 9 deletions(-) rename content/signal_processing/{advanced_statistic => algorithm/advanced_statistic/autocorrelation}/attachments/Pasted image 20240415171344.png (100%) rename content/signal_processing/{advanced_statistic => algorithm/advanced_statistic/autocorrelation}/attachments/Pasted 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b/content/signal_processing/algorithm/advanced_statistic/autocorrelation/autocorrelation.md similarity index 85% rename from content/signal_processing/advanced_statistic/autocorrelation/autocorrelation.md rename to content/signal_processing/algorithm/advanced_statistic/autocorrelation/autocorrelation.md index f102fc9e1..f1ebe56e6 100644 --- a/content/signal_processing/advanced_statistic/autocorrelation/autocorrelation.md +++ b/content/signal_processing/algorithm/advanced_statistic/autocorrelation/autocorrelation.md @@ -31,9 +31,9 @@ cov(X, Y) & = \frac{\sum(x-\overline{x})(y-\overline{y})}{n-1} \\ \end{split} \end{equation} $$ -![](signal_processing/advanced_statistic/attachments/Pasted%20image%2020240415171344.png) +![](signal_processing/algorithm/advanced_statistic/autocorrelation/attachments/Pasted%20image%2020240415171344.png) -![](signal_processing/advanced_statistic/attachments/Pasted%20image%2020240415171351.png) +![](signal_processing/algorithm/advanced_statistic/autocorrelation/attachments/Pasted%20image%2020240415171351.png) Covariance is hard to **interpret** because it is sensitive to the **scale** @@ -43,7 +43,7 @@ To solve the scale effect, here's the correlation: ## Correlation -![](signal_processing/advanced_statistic/attachments/Pasted%20image%2020240415171510.png) +![](signal_processing/algorithm/advanced_statistic/autocorrelation/attachments/Pasted%20image%2020240415171510.png) We can quantify the strength of the relationship with correlation (**Pearson’s correlation**) @@ -61,13 +61,13 @@ $corr(X, Y)$ is between -1 to 1 > NOTE: When we’re talking about correlation, we’re only talking about using **straight line** -![](signal_processing/advanced_statistic/attachments/Pasted%20image%2020240415171736.png) +![](signal_processing/algorithm/advanced_statistic/autocorrelation/attachments/Pasted%20image%2020240415171736.png) For correlation, we usually use **p-value** to **quantify the confidence** of the straight line relationship. **The more samll p-value, the more confident we say they are straight line relationship**; Like the figure: -![](signal_processing/advanced_statistic/autocorrelation/attachments/Pasted%20image%2020240415171834.png) +![](signal_processing/algorithm/advanced_statistic/autocorrelation/attachments/Pasted%20image%2020240415171834.png) -![](signal_processing/advanced_statistic/autocorrelation/attachments/Pasted%20image%2020240415171855.png) +![](signal_processing/algorithm/advanced_statistic/autocorrelation/attachments/Pasted%20image%2020240415171855.png) About P-value, you have better know what's [significance test](math/Statistics/significance_test/whats_the_significance_test.md) @@ -221,7 +221,7 @@ $$ # Application -* [Period Detection by Autocorrelation](signal_processing/advanced_statistic/autocorrelation/period_detection.md) +* [Period Detection by Autocorrelation](signal_processing/algorithm/advanced_statistic/autocorrelation/period_detection.md) # Reference * https://pinkr1ver.notion.site/Autocorrelation-Analysis-Power-Spectral-Density-330755770347472989062c6b31f18a21?pvs=4 diff --git a/content/signal_processing/advanced_statistic/autocorrelation/period_detection.md b/content/signal_processing/algorithm/advanced_statistic/autocorrelation/period_detection.md similarity index 100% rename from content/signal_processing/advanced_statistic/autocorrelation/period_detection.md rename to content/signal_processing/algorithm/advanced_statistic/autocorrelation/period_detection.md diff --git a/content/signal_processing/signal_processing_MOC.md b/content/signal_processing/signal_processing_MOC.md index e291047dd..691305a4f 100644 --- a/content/signal_processing/signal_processing_MOC.md +++ b/content/signal_processing/signal_processing_MOC.md @@ -43,8 +43,8 @@ date: 2024-03-18 ## Autocorrelation -* [Autocorrelation in Signal Processing](signal_processing/advanced_statistic/autocorrelation/autocorrelation.md) -* [Period Detection by Autocorrelation](signal_processing/advanced_statistic/autocorrelation/period_detection.md) +* [Autocorrelation in Signal Processing](signal_processing/algorithm/advanced_statistic/autocorrelation/autocorrelation.md) +* [Period Detection by Autocorrelation](signal_processing/algorithm/advanced_statistic/autocorrelation/period_detection.md) ## Empirical Mode Decomposition