Enter the phase noise, offset frequency, and carrier frequency into the calculator to determine the jitter in seconds. This calculator helps in understanding the timing stability in electronic systems.
Phase Noise to Jitter Formula
The following formula is used to calculate the jitter from phase noise:
Jitter (sec) = 6 * sqrt(2 * L(f)) / (2 * π * f_{offset})Variables:
- L(f) is the phase noise power spectral density (dBc/Hz)
- f_offset is the offset frequency from the carrier (Hz)
- The jitter is calculated in seconds and assumes a Gaussian distribution of phase noise (6-sigma peak-to-peak)
To calculate jitter, convert the phase noise from dBc/Hz to a linear scale, calculate the RMS jitter in radians, and then convert to seconds. Finally, multiply by 6 to estimate the peak-to-peak jitter.
What is Phase Noise?
Phase noise is the frequency domain representation of random fluctuations in the phase of a waveform, corresponding to time domain jitter. It is a key parameter in the characterization of oscillators and timing components in electronic systems, affecting the performance of communication systems, radars, and other sensitive equipment.
How to Calculate Jitter from Phase Noise?
The following steps outline how to calculate jitter from phase noise:
- First, determine the phase noise (L(f)) in dBc/Hz.
- Next, determine the offset frequency (f_offset) in Hz.
- Convert the phase noise to linear scale using the formula: L(f) linear = 10^(L(f) / 10).
- Calculate the RMS jitter in radians: Jitter RMS (rad) = sqrt(2 * L(f) linear).
- Convert the RMS jitter to seconds: Jitter RMS (sec) = Jitter RMS (rad) / (2 * π * f_offset).
- Estimate the peak-to-peak jitter by multiplying the RMS jitter by 6 (for a Gaussian distribution): Jitter (sec) = 6 * Jitter RMS (sec).
- Use the calculator above to verify your results.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Phase Noise (L(f)) = -100 dBc/Hz
Offset Frequency (f_offset) = 10 kHz
Carrier Frequency (not used in calculation) = 1 GHz
