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 ...
Sine Vibration-Induced Phase Noise Sinusoidal vibration produces spectral lines at ±fv from the carrier, where fv is the vibration frequency. ' L ( ) ⎟ 0 f = 20 log ⎜ e.g., if Γ = 1 x 10 -9 /g and f 0 = 10 MHz, then even if the oscillator is completely noise free at rest, the phase “noise” i.e., the spectral lines, due solely to a sine vibration level of 1g will be; Vibr. freq., f v, in Hz 1 10 100 1,000 10,000 v 4-70 ⎛ Γ • Af ⎜ ⎝ 2fv ⎞ ⎠ L’(fv), in dBc -46 -66 -86 -106 -126
Random Vibration-Induced Phase Noise Random vibration’s contribution to phase noise is given by: () [ ( )( ) ] 2 1 ⎛ Γ • Af ⎞ 0 L f = 20 log ⎜ , where lAl = 2 PSD 2f ⎟ ⎝ ⎠ e.g., if Γ = 1 x 10 -9 /g and f 0 = 10 MHz, then even if the oscillator is completely noise free at rest, the phase “noise” i.e., the spectral lines, due solely to a vibration PSD = 0.1 g 2 /Hz will be: Offset freq., f, in Hz 1 10 100 1,000 10,000 R. L. Filler, "The Acceleration Sensitivity of Quartz Crystal Oscillators: A Review," IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 35, No. 3, pp. 297-305, May 1988. L’(f), in dBc/Hz -53 -73 -93 -113 -133
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S<strong>in</strong>e <strong>Vibration</strong>-Induced Phase <strong>Noise</strong><br />
S<strong>in</strong>usoidal vibration produces spectral l<strong>in</strong>es at ±fv from the<br />
carrier, where fv is the vibration frequency.<br />
'<br />
L<br />
( ) ⎟ 0<br />
f = 20 log ⎜<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 s<strong>in</strong>e vibration level <strong>of</strong><br />
1g will be;<br />
Vibr. freq., f v, <strong>in</strong> Hz<br />
1<br />
10<br />
100<br />
1,000<br />
10,000<br />
v<br />
4-70<br />
⎛ Γ • Af<br />
⎜<br />
⎝ 2fv<br />
⎞<br />
⎠<br />
L’(fv), <strong>in</strong> dBc<br />
-46<br />
-66<br />
-86<br />
-106<br />
-126