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un:cross-correlation [2024/09/08 22:43] asadun:cross-correlation [2024/09/08 22:44] (current) asad
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 ====== Cross-correlation ====== ====== Cross-correlation ======
-The cross-correlation $c_{xy}(\tau)$ of two functions $a(t)$ and $b(t)$ is the time-averaged product of the two functions with one delayed by time $\tau$, i. e.+The cross-correlation $c_{ab}(\tau)$ of two functions $a(t)$ and $b(t)$ is the time-averaged product of the two functions with one delayed by time $\tau$, i. e.
  
-$$ c_{xy}(\tau) \equiv \langle a(t) \ b(t-\tau) \rangle $$+$$ c_{ab}(\tau) \equiv \langle a(t) \ b(t-\tau) \rangle $$
  
 where $\langle \rangle$ represents time-average. This is also called the //cross-power product//. where $\langle \rangle$ represents time-average. This is also called the //cross-power product//.
un/cross-correlation.1725857039.txt.gz · Last modified: by asad

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