Welcome to our site! EDAboard.com is an international Electronics Discussion Forum focused on EDA software, circuits, schematics, books, theory, papers, asic, pld, 8051, DSP, Network, RF, Analog Design, PCB, Service Manuals... and a whole lot more! To participate you need to register. Registration is free. Click here to register now.
They are basically the same. both of them compute the similarity between the received signals and some known signals(transmit signals)
MF is implemented with filter but corolator use multiplier(or mixer) and integrator
correlator is a mixer that multiplies the signal with the carrier which is coherent system "i.e. the pilot carrier is sent along the data", while matched filter is a filter that has some equation with respect to the sent pulse " i think it was K*(g(T-t)) i am not sure about the equation , but its idea is that it samples the signal at time T ,which gives maximum SNR which makes a non-coherent system"i.e. the data is sent alone".
if every thing is ideal they have the same function with max. SNR at o/p.
i am not that sure , but this is what i could remember so re-check it.