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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 // | where $\langle \rangle$ represents time-average. This is also called the // |
un/cross-correlation.1725857039.txt.gz · Last modified: 2024/09/08 22:43 by asad