Cross-correlation

Cross-Correlation of two signals each with independent complex Gaussian noise

Cross-Correlation of two signals each with independent complex Gaussian noise
  1. How do you find the cross-correlation of two signals?
  2. What is cross-correlation in signals and systems?
  3. What is correlation between two signals?
  4. What is the difference between cross-correlation and convolution?

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.

What is cross-correlation in signals and systems?

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 correlation between two signals?

Correlation of two signals is the convolution between one signal with the functional inverse version of the other signal. The resultant signal is called the cross-correlation of the two input signals. The amplitude of cross-correlation signal is a measure of how much the received signal resembles the target signal.

What is the difference between cross-correlation and convolution?

Cross-correlation and convolution are both operations applied to images. Cross-correlation means sliding a kernel (filter) across an image. Convolution means sliding a flipped kernel across an image.

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