r/CompressiveSensing - Is anyone aware of methods to "pre-correlate" two signals so you can send a sparser representation around?

#artificialintelligence 

I often compute ambiguity functions, which end up being very sparse (often a single non-noise bin) after correlation. It'd be great if I could somehow take the two inputs, A and B, and do something to get a sparser representation A' and B' that I could then transport over my network to a central correlation server to get the final ambiguity surface. Does anyone know of any work in that direction?

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