WRPLL simulation

A time domain simulation for WRPLL

Installation

Poetry:

poetry install --no-root
poetry run jupyter lab

Poetry shell:

poetry install --no-root
poetry shell

Nix:

nix develop

Quick start

• Three notebook examples are included

  1. helper_PLL_example.ipynb : helper PLL only
  2. main_PLL_example.ipynb : main PLL only with a user specific helper frequency
  3. both_PLL_example.ipynb : main and helper PLL

• RAM usage and execution time estimate for simulation ONLY

  1. 100,000,000 time steps: 6GiB RAM and 12 seconds

  2. 200,000,000 time steps: 11GiB RAM and 20 seconds

  3. 300,000,000 time steps: 16GiB RAM and 35 seconds

WRPLL formulas

• Assume the difference between f_{main}, f_{gtx} is very small

  • Let f_{in} = f_{main} = f_{gtx}

  • f_{helper} = f_{in} * \dfrac{N-1}{N}

  • f_{beat} = f_{in} - f_{helper} = \dfrac{f_{in}}{N}

• Main and helper Si549 DCXO ADPLL setting

  • ADPLL = \dfrac{\Delta f_{outppm}}{0.0001164}

Limitation

1. The simulation is missing the switching delay of "receiving ADPLL -> DCXO output starting to change"
2. The white noise is used to simulate jitter which may result in higher phase noise