Cross-correlation

Transforming digitized noisy signal before applying cross-correlation

Transforming digitized noisy signal before applying cross-correlation
  1. What is cross-correlation in digital signal processing?
  2. What is the expression of cross-correlation of energy signals?
  3. What is the difference between cross-correlation and convolution?

What is cross-correlation in digital signal processing?

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 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.

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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