Harman Patil (Editor)

Leeson's equation

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Leeson's equation is an empirical expression that describes an oscillator's phase noise spectrum.

Leeson's expression for single-sideband (SSB) phase noise in dBc/Hz (decibels relative to output level per Hertz) and augmented for flicker noise:

L ( f m ) = 10 log [ 1 2 ( ( f 0 2 Q l f m ) 2 + 1 ) ( f c f m + 1 ) ( F k T P s ) ]

where f0 is the output frequency, Ql is the loaded Q, fm is the offset from the output frequency (Hz), fc is the 1/f corner frequency, F is the noise factor of the amplifier, k is Boltzmann's constant in Joules/Kevin, T is absolute temperature in Kelvins, and Ps is the output power.

References

Leeson's equation Wikipedia