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Significance of imaginary part of auto-/cross-correlation

For starters, let's assume that a "complex" is simply a combination of two arbitrary real signals, i.e. $$x(t) = a(t) + jb(t), y(t) = c(t) + jd(t) \tag{1}$$ For the cross correlation we ...
Hilmar's user avatar
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Unbalanced binary sequences for system identification?

It is impossible to simultaneously have a non-zero mean and an auto-correlation that is an impulse function because the non-zero mean component correlates in time, so the minimum circular auto-...
Stephen's user avatar
  • 336
1 vote

Unbalanced binary sequences for system identification?

Well, you can always produce a random sequence that has (for example) 70% ones and 30% zeros. The spectrum of this sequence will generally be white-ish: meaning it's mostly flat over the entire ...
Hilmar's user avatar
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3 votes
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Cross Correlation Peak Value of Wideband signals - The Phase and Sample Offset are related but how

To be sure there is no conflation between "phase" and "delay" in the time domain, I refer to a phase shift in time as: $$y(t) = x(t)e^{j\theta}$$ Whereas a time shift (delay) is ...
Dan Boschen's user avatar
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