Field Guide · algorithm

Also known as: matched filter

A matched filter is the linear filter that maximises SNR against a known signal shape.1 Its impulse response is a time-reversed copy of the pulse it is matched to.

noisy input correlation peak
A matched filter maximises SNR for a known pulse shape, producing a sharp peak the detector can time on.

How it works

By correlating the incoming signal with the expected pulse, it concentrates energy at the ideal sampling instant, giving the cleanest possible symbol decision. For RRC-shaped signals, the receiver’s RRC is the matched filter.

Relevance to SDR

Matched filtering is a standard receive step that improves demodulation of weak digital signals such as AIS and APRS.

Sources

  1. Matched filter — Wikipedia, on the SNR-optimal time-reversed correlation filter. 

See also