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--- un:cross-correlation [2024/09/08 22:42] – created asad
+++ un:cross-correlation [2024/09/08 22:44] (current) – asad
@@ Line 1: / Line 1: @@
 ====== Cross-correlation ======
-The cross-correlation $c_{xy}(\tau)$ of two functions $x(t)$ and $y(t)$ 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.
-$$ c_{xy}(\tau) \equiv \langle x(t) y(t-\tau) \rangle $$
+$$ c_{ab}(\tau) \equiv \langle a(t) \ b(t-\tau) \rangle $$
-which is also called the //cross-power product//.
+where $\langle \rangle$ represents time-average. This is also called the //cross-power product//.