150 lines
4.5 KiB
Plaintext
150 lines
4.5 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Helper PLL mode example\n",
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"\n",
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"Time domain simulation with helper PLL mode\n",
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"\n",
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"- Period error (**Helper PLL**)\n",
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" - $\\Delta{period} = N - (tag_{gtx}[n] - tag_{gtx}[n-1]) $\n",
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" - where ideally $f_{helper} = \\dfrac{f_{in} * (N-1)}{N}$ \n",
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"\n",
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"- Phase error (**Main PLL**)\n",
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" - $\\text{Let } \\Delta tag[n] = tag_{main}[n] - tag_{gtx}[n] \\text{ mod N}$\n",
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"\n",
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" - $\\Delta\\phi[n] = \\begin{cases}\n",
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" \\Delta tag[n] - N, & \\text{if } \\Delta tag > N/2 \\\\\n",
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" \\Delta tag[n], & otherwise\n",
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" \\end{cases} \\quad$\n",
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" \n",
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"\n",
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"- ADPLL PID (common for main and helper PLL)\n",
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" - $P[n] = err[n] * K_P$\n",
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" - $I[n] = I[n-1] + err[n] * K_I$\n",
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" - $D[n] = (err[n] - err[n-1]) * K_D$\n",
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" - $adpll[n] = \\text{base adpll} + P[i] + I[n] + D[n] $\n",
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" - where $\\text{base adpll}$ is constant and obtain from frequency counter in HW"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"from plotly_resampler import FigureResampler, FigureWidgetResampler\n",
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"from plotly.subplots import make_subplots\n",
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"import plotly.graph_objects as go\n",
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"import numpy as np\n",
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"from wrpll_simulation.wrpll import WRPLL_simulator"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"# settings\n",
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"timestep = 1e-10\n",
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"total_steps = 100_000_000\n",
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"sim_mode = \"helper_pll\"\n",
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"adpll_period = 200e-6 # in seconds, the period that pll will trigger, (minimum > total DCXO frequency change delay)\n",
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"start_up_delay = 100e-6 # in seconds, the frequency adjustment is DISABLE until time > start_up_delay\n",
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"\n",
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"gtx_freq = 125_001_519\n",
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"\n",
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"helper_filter = {\n",
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" \"KP\": 2,\n",
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" \"KI\": 0.5,\n",
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" \"KD\": 0,\n",
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"}\n",
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"\n",
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"main_filter = { # unused\n",
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" \"KP\": 12,\n",
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" \"KI\": 0,\n",
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" \"KD\": 0,\n",
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"}\n",
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"\n",
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"# simulation have RNG for\n",
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"# - gtx, main and helper jitter\n",
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"# - starting phase for main and helper\n",
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"# - base_adpll error\n",
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"\n",
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"wrpll_sim = WRPLL_simulator(\n",
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" timestep=timestep,\n",
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" total_steps=total_steps,\n",
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" sim_mode=sim_mode,\n",
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" helper_filter=helper_filter,\n",
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" main_filter=main_filter,\n",
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" gtx_freq=gtx_freq,\n",
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" adpll_write_period=adpll_period,\n",
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" start_up_delay=start_up_delay,\n",
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")\n",
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"wrpll_sim.run()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"# faster than pyplot with resampling feature\n",
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"# see https://github.com/predict-idlab/plotly-resampler\n",
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"\n",
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"fig = FigureWidgetResampler(make_subplots(rows=2, shared_xaxes=True))\n",
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"fig.add_trace(go.Scattergl(name='period error'), hf_x=wrpll_sim.time, hf_y=wrpll_sim.period_err, row=1, col=1)\n",
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"\n",
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"fig.add_trace(go.Scattergl(name='gtx'), hf_x=wrpll_sim.time, hf_y=wrpll_sim.gtx+1, row=2, col=1)\n",
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"fig.add_trace(go.Scattergl(name='main'), hf_x=wrpll_sim.time, hf_y=wrpll_sim.main, row=2, col=1)\n",
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"fig.add_trace(go.Scattergl(name='helper'), hf_x=wrpll_sim.time, hf_y=wrpll_sim.helper-1, row=2, col=1)\n",
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"\n",
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"\n",
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"fig.update_layout(\n",
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" xaxis2=dict(title=\"time (sec)\"),\n",
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"\n",
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" yaxis1=dict(title=\"beating period error\"),\n",
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" yaxis2=dict(title=\"Signal\"),\n",
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" height=1000,\n",
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" showlegend=True,\n",
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" title_text=\"PLL example\",\n",
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" legend=dict(\n",
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" orientation=\"h\",\n",
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" yanchor=\"bottom\",\n",
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" y=1.02,\n",
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" xanchor=\"right\",\n",
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" x=1,\n",
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" ),\n",
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")\n",
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"\n",
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"fig"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3 (ipykernel)",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.11.6"
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}
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"nbformat": 4,
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"nbformat_minor": 4
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