Phase Noise to Jitter Converter
Phase noise and jitter are two descriptions of the same phenomenon — timing uncertainty in an oscillator. Phase noise is expressed in the frequency domain (dBc/Hz at an offset), jitter in the time domain (ps RMS). This calculator converts between them and integrates a piecewise phase noise profile.
Equations & Parameters ▸
\(\sigma_t=\dfrac{1}{2\pi f_c}\sqrt{2\int_{f_{low}}^{f_{high}}\mathcal{L}(f)\,df}\quad[\text{s RMS}]\)
| f_c | Carrier frequency (Hz). |
| L(f) | Single-sideband phase noise at offset f, in dBc/Hz. |
| f_low, f_high | Integration band. RMS jitter depends on what frequency range you integrate over. |
| σ_t | RMS jitter = (1/(2π·f_c)) · √(2 · ∫L(f)·df). Result in ps RMS. |
| J_pp | Peak-to-peak jitter ≈ 6–7× RMS (3–3.5σ confidence interval). |
Physical constants used
| c | Speed of light = 2.998×10⁸ m/s |
| µ₀ | Permeability of free space = 4π×10⁻⁷ H/m ≈ 1.2566×10⁻⁶ H/m |
| ε₀ | Permittivity of free space = 8.854×10⁻¹² F/m |
| k_B | Boltzmann constant = 1.381×10⁻²³ J/K |
| h | Planck constant = 6.626×10⁻³⁴ J·s |
| ¹H gyromagnetic ratio | γ/2π = 42.577 MHz/T |
Carrier & Integration Band
Hz
lower integration boundHz
upper integration boundPhase Noise Profile (up to 5 offset/level pairs)
Enter offset frequencies and phase noise levels. The calculator integrates using linear interpolation on a log-log scale between adjacent points.
Results
Jitter
RMS jitter, σ_t—
Peak-to-peak jitter (6σ)—
Integrated phase noise—
Reference
Carrier frequency—
Integration band—
Phase noise at 1 kHz offset—