Cross-correlation

Cross correlation of complex signals

Cross correlation of complex signals
  1. What is cross-correlation of signals?
  2. How do you find the cross-correlation of two signals?
  3. Can correlation be complex?
  4. What is the expression of cross-correlation of energy signals?

What is cross-correlation of signals?

In signal processing, cross-correlation is a measure of similarity of two series as a function of the displacement of one relative to the other. This is also known as a sliding dot product or sliding inner-product. It is commonly used for searching a long signal for a shorter, known feature.

How do you find the cross-correlation of two signals?

To detect a level of correlation between two signals we use cross-correlation. It is calculated simply by multiplying and summing two-time series together. In the following example, graphs A and B are cross-correlated but graph C is not correlated to either.

Can correlation be complex?

Researchers often use complex correlational research to explore relationships among several variables in the same study. Complex correlational research can be used to explore possible causal relationships among variables using techniques such as partial correlation and multiple regression.

What is the expression of cross-correlation of energy signals?

In signal processing, cross-correlation Rf g is used to assess how similar two different signals f (t) and g(t) are. Rf g is found by multiplying one signal, f (t) say, with time-shifted values of the other g(t + τ), then summing up the products.

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