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RMS Jitter From Phase Noise

strigois

I am trying to convert Phase Noise to RMS Jitter(radians), but I'm having trouble following the units through the process.

To get RMS Jitter, in radians, from Phase Noise you must integrate the Phase Noise.  What are the units of integrated Phase Noise and how do they cancel.  The equation I am currently using for this is A = Phase Noise (L(f)) + 10*log10(frequency2- frequency1) and to generate the RMS Jitter value in radians I am using sqrt(2*10^(A/10)).

Additionally, what are the units for 10*log10(frequency2- frequency1) and if L(f) is the ratio of Pcarrier and Poffset in dBm, and that has units of dBc/Hz, what would be the units if it were converted to a linear value.

Thank you for any insight you might have on these questions.

Parents

  • Hi Sean, I'm back with more questions.

    So I think I understand what you mean.  Here's an small sample of the data I have...

    Offset Frequency (Hz) Phase Noise (dBc/Hz)
    1.0000000 -38.1251812
    1.0180098 -38.5901944
    1.0363439 -39.0552040
    1.0550081 -39.5202096
    1.0740086 -39.9852112
    1.0933512 -40.4502087

    (This goes to an offset frequency of 5Mhz.)

    The formula A = L(f) + 10*log(frequncy2-frequncy1) is being applied per datapoint, so in the first case it would be done for 1Hz and 1.0180098Hz with L(f) = -38.1251812dBc/Hz.

    From the literature I've read, I should be able to do this using a trapezoidal or Simpson's rule approximation and get a value that I can then convert to radians with the formula sqrt(2* 10^(A/10)).

    Am I trying for too fine of detail?  I did notice in the same literature that the same calculations were being done on decade Hz scales.

Reply

  • Hi Sean, I'm back with more questions.

    So I think I understand what you mean.  Here's an small sample of the data I have...

    Offset Frequency (Hz) Phase Noise (dBc/Hz)
    1.0000000 -38.1251812
    1.0180098 -38.5901944
    1.0363439 -39.0552040
    1.0550081 -39.5202096
    1.0740086 -39.9852112
    1.0933512 -40.4502087

    (This goes to an offset frequency of 5Mhz.)

    The formula A = L(f) + 10*log(frequncy2-frequncy1) is being applied per datapoint, so in the first case it would be done for 1Hz and 1.0180098Hz with L(f) = -38.1251812dBc/Hz.

    From the literature I've read, I should be able to do this using a trapezoidal or Simpson's rule approximation and get a value that I can then convert to radians with the formula sqrt(2* 10^(A/10)).

    Am I trying for too fine of detail?  I did notice in the same literature that the same calculations were being done on decade Hz scales.

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