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Autocorrelation is the cross-correlation of a signal with itself.

3 votes
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signal uncorrelated with delta in the origin

It has a delta at the origin because you are multiplying your time series with itself (i.e. there is no time delay). Any non-zero time series correlated with itself will give a positive value.
Jim Clay's user avatar
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1 vote

What data should be collected to determine the autocorrelation sequence?

All you need to do an autocorrelation is a number of evenly spaced samples at a given frequency, so you will need some dwell time at each frequency (which I assume that you are doing already). …
Jim Clay's user avatar
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4 votes

What is the unit of autocorrelation function?

It depends. Normalized autocorrelations have no units because the units are divided out as part of the normalization process. Non-normalized autocorrelations have the original data's units squared.
Jim Clay's user avatar
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5 votes
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Generating good synchronization sequences

In order to get good synchronization information and avoid false positives the autocorrelation of the synchronization sequence should be as close to a delta dirac as possible. …
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2 votes

When might looking at rising edges perform better than cross-correlation?

Using the rising edge is better than cross-correlation when there is the physical equivalent of an inductor in the system, which will introduce inertia into the system. That inertia will cause the ou …
Jim Clay's user avatar
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4 votes

Effect of Windowing Function on Autocorrelation Function

You are using the FFT and inverse FFT to efficiently calculate a correlation (an autocorrelation is just a special case of correlation). …
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1 vote

Find the time lag for a wave

The time lag is equal to the index difference times the sample period. The sample period is: $$ T_s = \frac{1}{f_s} = \frac{1}{16000} = 62.5\mu s $$ Thus, the time lag from the first peak to the seco …
Jim Clay's user avatar
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