Phase Noise to Jitter Formula
The Phase Noise to Jitter conversion calculator uses the following formula to estimate RMS phase jitter:
J_rad = √(2 × 10^(A/10))
Where J_rad is the RMS phase jitter in radians and A is the integrated phase noise in dBc.
To convert radians to time domain:
J_us = J_rad / (2 × π × f₀) × 10⁶
Here, f₀ is the oscillator frequency in Hz, and J_us gives the RMS phase jitter in microseconds.
Formula Explanation
The first part calculates the RMS jitter in radians based on the integrated phase noise. The second part converts this angular jitter into a time-domain jitter in microseconds using the oscillator frequency. This allows engineers to understand how phase noise affects signal timing precision.
Uses of Phase Noise to Jitter conversion calculator
- Evaluating oscillator stability in communication systems.
- Predicting timing errors in RF circuits and PLL designs.
- Designing low-jitter clock sources for digital electronics.
- Comparing performance of different oscillators and signal sources.
- Educational demonstration of phase noise impact on timing.
Formula Example
For an oscillator with frequency f₀ = 10 MHz and integrated phase noise A = -80 dBc:
Step 1: Calculate RMS jitter in radians:
J_rad = √(2 × 10^(-80/10)) ≈ 0.0001414 rad
Step 2: Convert to microseconds:
J_us = 0.0001414 / (2 × π × 10×10⁶) × 10⁶ ≈ 2.25 × 10⁻³ µs
This result represents the time-domain phase jitter of the oscillator signal.