Cross-Correlation Signal Delay Estimation Variance

1. How do you measure the delay of a signal?
2. How do you calculate cross-correlation?
3. What is the relation between cross-correlation and autocorrelation?
4. What is delay time estimation?

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.

How do you calculate cross-correlation?

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 the relation between cross-correlation and autocorrelation?

The cross-correlation is similar in nature to the convolution of two functions. In an autocorrelation, which is the cross-correlation of a signal with itself, there will always be a peak at a lag of zero, and its size will be the signal energy.

What is delay time estimation?

Time delay estimation (TDE) is the problem of estimating the time delay between two received signals which have originated from same transmitter. ¹. This estimation problem is of fundamental importance in radar signal processing for detecting the presence of targets and identifying radar transmitters.