Cross-correlation for delay estimation in acoustic signals

1. How do you find time delay using cross-correlation?
2. What is cross-correlation in signal processing?
3. How do you measure the delay of a signal?
4. What is application of cross-correlation?

How do you find time delay using cross-correlation?

For delay analysis, correlation in the time domain is widely used. The correlation function plots the similarity between two signals for all possible lags τ. The peak of the correlation function occurs at the lag with the best similarity between the two signals, i.e. the estimated delay.

What is cross-correlation in 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.

How do you measure the delay of a signal?

τdelay=argmax ((f∗g)(t)), this will estimate the time offset where the signals are best aligned.

What is application of cross-correlation?

Cross-correlation is used to evaluate the similarity between the spectra of two different systems, for example, a sample spectrum and a reference spectrum. This technique can be used for samples where background fluctuations exceed the spectral differences caused by changes in composition.