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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

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