The cross-correlation of continuous $f,g$ is:
$(f \star g)(\tau)=\int_{-\infty}^{\infty}f^*(t)g(t+\tau)dt$
where * is the complex conjugate.
Why is there the complex conjugate?
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One desirable property that comes from using the complex conjugate is that $(f\star f)(0)\geq 0$ – Ben Grossmann Dec 04 '15 at 21:21
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Isn't the integration made on transformed functions? – Moti Dec 04 '15 at 21:35