A pulsar that emits detectable radio waves, often with intermittent or periodic signals.A radio pulsar is a highly magnetized, rotating neutron star that emits beams of radio waves from its magnetic poles. As the star spins, the beam sweeps across Earth like a lighthouse, producing periodic pulses of radio emission. These objects are the remnants of massive stars that exploded as supernovae, leaving behind a compact core about the size of a city but with more mass than the Sun.
The first radio pulsar was discovered in 1967 by Jocelyn Bell Burnell and Antony Hewish at Cambridge, who noticed a regular signal at 1.337 seconds. The identification with rotating neutron stars was made shortly after by Thomas Gold and Franco Pacini.
The pulsar's rapid rotation and strong magnetic field generate enormous electric fields that accelerate charged particles along the magnetic poles. These particles emit coherent radio waves, beamed in the direction of the magnetic axis. Because the magnetic axis is typically misaligned with the rotation axis, the beam sweeps around as the star spins, and we detect a pulse each time it points toward Earth. The pulse period is essentially the rotation period of the neutron star, ranging from milliseconds to seconds.
Radio pulsars are used as precision clocks in tests of general relativity, in pulsar timing arrays to detect gravitational waves, and as probes of the interstellar medium and neutron star physics.
The fastest known radio pulsar, PSR J1748-2446ad, spins at 716 times per second, meaning its surface moves at nearly a quarter of the speed of light.
| z | variable | Analytic signal — analytic signal |
| x | variable | Real signal — signal |
| a | variable | Instantaneous amplitude — instantaneous amplitude |
| φ | variable | Instantaneous phase — instantaneous phase radian |
| t | variable | Time variable — time second |
| H | operator | Hilbert transform, shifts phase by -90° — hilbert transform operator |
| i | operator | Imaginary unit, √(-1) — imaginary unit |





















