Cross correlation with short or non periodic signals?

1. What is cross-correlation of signals?
2. What is the correct way to perform cross-correlation?
3. What is the difference between periodic and non-periodic signals?
4. What is the difference between cross-correlation and Pearson correlation?

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.

What is the correct way to perform cross-correlation?

Formula for Cross-Correlation

If independent variable X influences variable Y and the two are positively correlated, then as the value of X rises so will the value of Y. If the same is true of the relationship between X and Z, then as the value of X rises, so will the value of Z.

What is the difference between periodic and non-periodic signals?

A signal is said to be periodic signal if it has a definite pattern and repeats itself at a regular interval of time. Whereas, the signal which does not at the regular interval of time is known as an aperiodic signal or non-periodic signal.

What is the difference between cross-correlation and Pearson correlation?

In the realm of statistics, cross-correlation functions provide a measure of association between signals. The Pearson product-moment correlation coefficient is simply a normalized version of a cross-correlation. When two times series data sets are cross-correlated, a measure of temporal similarity is achieved.