There have been discussions on the differences between convolution and correlation, autocorrelation, cross-correlation, et al.
In spite of looking at the visualizations, and understanding the formula for calculation of convolution and correlation, I don't understand the need for correlation - is it required for identifying a signal uniquely?
What is the distinction between correlation and cross-correlation (if any exists)?
I get that convolution can be important in determining system responses to any arbitrary input signals when the impulse response is known, but what are the practical scenarios where correlation is helpful?
I know the theoretical differences between the concepts and this link isn't helpful for my question.