Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Students · Matched Filter

Matched Filter for a phase-locked loop

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a phase-locked loop live below — adjust the inputs and watch it respond, right in your browser.

Matched FilterLive

pulling signal out of noise

Controls

Presets

Noise level

Pulse position

A matched filter correlates a received signal with a known template, concentrating the pulse energy into a single sharp peak while averaging noise away. It gives the best possible detection in white noise — the core of radar, sonar, and GPS. Educational tool.

▶ Run in Python

Data Inspector

Detected position0.56 × length

Detectionpulse found ✓

Governing equation

h (t) = s (T - t), y (t) = \int x (τ) s (τ - t) d τ, \hat{t} = 0.56 T

Reading this result: The pulse is buried, but correlation adds its energy coherently while random noise averages toward zero — the peak still clears the detection threshold.

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Frequently asked questions

Is this good for students?: Yes — this version of "Matched Filter for a phase-locked loop" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.