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I want to cross correlate two binary signals, where one is corrupted by noise and shifted by a time constant $\tau$, but has the same bit pattern (so basically an auto correlation). Similar to case 2 in this allaboutcircuits "understanding correlation" article.

  • How long does my bit pattern has to be, so that I increase error safety?
  • Does the lenght of a single bit affect the error safety?
  • Can there any general assumptions be made or does this depend totally on my transmission system?

Any advice on literature, Research papers or links are greatly appreciated!

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