What does "Crosscorrelation" mean?

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Crosscorrelation is a way to compare two signals or sequences to see how similar they are or how much one might shift relative to the other. It helps to find patterns or relationships between the two and is especially useful when the signals have similar structures.

In practical applications, like communications and signal processing, crosscorrelation can help determine how well two signals work together. This can be critical in areas such as data transmission and cryptography.

For sequences known as maximum-length sequences, or m-sequences, crosscorrelation has been studied for many years. Researchers examine how m-sequences behave when compared against each other, particularly looking at the patterns of their correlations. The focus often lies on cases where there are only a few possible values of correlation, which can simplify analysis and improve performance in various uses.

Current research continues to find new methods and areas to apply crosscorrelation, revealing potential for more discoveries and advancements in the field.