13.07.2015 Views

NIST Technical Note 1337: Characterization of Clocks and Oscillators

NIST Technical Note 1337: Characterization of Clocks and Oscillators

NIST Technical Note 1337: Characterization of Clocks and Oscillators

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7. PHASE NOISE AND AM NOISE MEASUREMENTS 277(7) The discriminator calibration factor is calculated in hertz per volt asCF = mfml...;2 v'ms = 2.405fmli2 v,ms· (91 )The modulation index m for the first Bessel null as used in this techniqueis 2.405. The modulation frequency is j~.3. .\leasurement <strong>and</strong> Data PlottingAfter the discriminator is calibrated, the modulated signal source is replacedwith the frequency source to be measured. Quadrature <strong>of</strong> the signalsinto the mixer is reestablished, attenuator No.4 (Fig. 20) is set to 0 dB, <strong>and</strong>the measurement process can begin.The measurements, calculations, <strong>and</strong> data plotting are completely automated.The calculator program selects the Fourier frequency, performsautoranging, <strong>and</strong> sets the b<strong>and</strong>width, <strong>and</strong> measurements <strong>of</strong> Fourier frequencypower are performed by the tracking spectrum analyzer. Each Fourierfrequency noise-power reading P n (dBm) is converted to the correspondingrms voltage byThe rms frequency fluctuations are calculated as(92)l5v rms = V lrms X CF. (93)The spectral density <strong>of</strong> frequency fluctuations in hertz squared per hertz iscalculated aswhere B is the measured IF noise-power b<strong>and</strong>width <strong>of</strong> the spectrum analyzer.The spectral density <strong>of</strong> phase fluctuations in radians squared per hertz iscalculated asThe NBS-designated spectral density in decibels (carrier) per hertz is calculatedasSpectral density is plotted in real time in our program. However, the datacan be stored <strong>and</strong> the desired spectral density can be plotted in other forms.Integrated phase noise can be obtained as desired.(94)(95)(96)TN-228

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