VCXOs - Voltage-Controlled Crystal Oscillators


Voltage controlled crystal oscillators typically employ a varactor diode to vary the frequency of oscillation by application of a tuning voltage. Tuning ranges vary from a fraction of a ppm to hundreds of ppm. Design considerations include tuning linearity, tuning bandwidth, tuning range, output level stability over tuning, post-tuning drift, phase noise, and stability.

Calculating the effects of tuning port noise on oscillator phase noise:

The spectral density, Sy(f), of the phase noise of an oscillator due to noise on the input is simply calculated by squaring the product of the tuning sensitivity and the voltage noise density. For example, consider a 10 MHz oscillator with a tuning sensitivity of 0.5 ppm and a white noise voltage on the tuning line of 100 nV/root-Hz:

Sy(f) = (0.5E-6 x 100E-9)^2 = 25E-28

The phase noise spectral density is found by multiplying the frequency spectral density, Sy(f), by the carrier frequency squared and dividing by the offset frequency squared. In the example, the phase noise at 100 Hz offset would be calculated as follows:

S(100) = 10MHz^2 x 25E-28 / 100^2 = 25E-18 = -166 dBc

Where S(100) is the phase noise spectral density at 100 Hz offset.

Note that the square of the offset frequency is in the denominator so the phase noise due to white tuning noise rolls off at 20dB per decade.

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