Vibration-induced PM Noise in Oscillators and Studies of Correlation ...
Vibration-induced PM Noise in Oscillators and Studies of Correlation ...
Vibration-induced PM Noise in Oscillators and Studies of Correlation ...
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R<strong>and</strong>om <strong>Vibration</strong>-Induced Phase <strong>Noise</strong><br />
R<strong>and</strong>om vibration’s contribution to phase noise is given by:<br />
() [ ( )( ) ] 2<br />
1<br />
⎛ Γ • Af<br />
⎞ 0 L f = 20 log<br />
⎜ , where lAl<br />
= 2 PSD<br />
2f<br />
⎟<br />
⎝ ⎠<br />
e.g., if Γ = 1 x 10 -9 /g <strong>and</strong> f 0 = 10 MHz, then even if the<br />
oscillator is completely noise free at rest, the phase “noise”<br />
i.e., the spectral l<strong>in</strong>es, due solely to a vibration<br />
PSD = 0.1 g 2 /Hz will be:<br />
Offset freq., f, <strong>in</strong> Hz<br />
1<br />
10<br />
100<br />
1,000<br />
10,000<br />
R. L. Filler, "The Acceleration Sensitivity <strong>of</strong> Quartz Crystal <strong>Oscillators</strong>: A<br />
Review," IEEE Transactions on Ultrasonics, Ferroelectrics, <strong>and</strong> Frequency<br />
Control, Vol. 35, No. 3, pp. 297-305, May 1988.<br />
L’(f), <strong>in</strong> dBc/Hz<br />
-53<br />
-73<br />
-93<br />
-113<br />
-133