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What is a correlator?

What is a correlator? Here are some definitions.

Noun
  1. That which correlates or causes correlation
  2. (statistics, quantum mechanics) A correlation function
  3. (optics, signal processing) A type of device used to compare two signals
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Examples
The LD20PC is not only a multifunction FFT high-performance correlator designed to detect leaks in pressure pipe lines.
These records are then sent in a unique place to produce interferometric signal in a correlator.
This is currently the largest and most powerful digital correlator system in the world, with a performance speed equivalent to the fastest supercomputer systems in the world today.
The missile flawlessly navigated the assigned mission through the use of a global positioning system and digital scene matching area correlator updates.
The design of the correlator incorporates a novel, NRC-patented architecture, called WIDAR, to process a very wide bandwidth signal efficiently for optimum scientific capability.
For the scan-to-scan correlator, a target is only displayed if it is present on two consecutive scans.

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