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Article | REF: E330 V1

Frequency synthesis

Authors: Vincent GIORDANO, Enrico RUBIOLA

Publication date: November 10, 2002

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2. Spectral purity

2.1 Definition

An ideal oscillator provides a signal of constant frequency ν 0 and amplitude V 0 : V(t) = V 0 cos (2πν 0 t).

In practice, noise sources internal to the oscillator circuit induce random modulation of the signal's phase and amplitude. The real signal is then represented by :

V(t) = V 0 [1 + α(t)] cos [2πν 0 t + ϕ(t)]

where ϕ(t) and α(t) are random variables...

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