add notebook examples with 3 PLL modes
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{
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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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"## Both PLL mode example\n",
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"\n",
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"Time domain simulation with helper and main 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 wave_gen import square_arr\n",
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"from wrpll import WRPLL_simulator\n",
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"\n",
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"# settings\n",
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"timestep = 4e-10 # even number is recommended to avoid strange glitches\n",
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"total_steps = 300_000_000\n",
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"sim_mode = \"both\"\n",
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"adpll_period = int(100e-6/timestep) # in simulation steps, 100μs is minimum, smaller = more frequency adjustment and filter calulation per unit time\n",
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"start_up_delay = int(100e-6/timestep) # in simulation steps, the frequency adjustment is DISABLE until steps > 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_init_freq = gtx_freq * (4096-1)/4096\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\": 4,\n",
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" \"KD\": 0,\n",
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"}\n",
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"\n",
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"main_filter = { \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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"\n",
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"t = np.linspace(0, timestep*total_steps, total_steps)\n",
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"\n",
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"# simulation will start with\n",
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"# - random phase for main & helper\n",
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"# - gussian based base_adpll error\n",
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"# - gussian jitter for gtx, main and helper with the set standard deviation\n",
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"\n",
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"wrpll_sim = WRPLL_simulator(\n",
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" time=t,\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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" helper_init_freq=helper_init_freq,\n",
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" # preset\n",
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" gtx_jitter_SD=19e-12, # 0 = no jitter\n",
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" dcxo_jitter_SD=9e-12,\n",
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" dcxo_freq=125_000_000,\n",
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" freq_acquisition_SD=100,\n",
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" N=4096, # hardware used 4096\n",
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" blind_period=300, # 300 is used to remove most glitches in simulation (for details see README 'Limitation')\n",
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" cycle_slip_comp=True,\n",
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")\n",
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"wrpll_sim.run()\n",
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"\n",
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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=4, shared_xaxes=True))\n",
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"fig.add_trace(go.Scattergl(name='phase error'), hf_x=t, hf_y=wrpll_sim.phase_err, row=1, col=1)\n",
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"\n",
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"fig.add_trace(go.Scattergl(name='freq error (ppm)'), hf_x=t, hf_y=(\n",
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" wrpll_sim.mainfreq-gtx_freq) * (1e6/gtx_freq), row=2, col=1)\n",
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"\n",
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"fig.add_trace(go.Scattergl(name='period error'), hf_x=t, hf_y=wrpll_sim.period_err, row=3, col=1)\n",
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"\n",
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"fig.add_trace(go.Scattergl(name='gtx'), hf_x=t, hf_y=wrpll_sim.gtx+1, row=4, col=1)\n",
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"fig.add_trace(go.Scattergl(name='main'), hf_x=t, hf_y=wrpll_sim.main, row=4, col=1)\n",
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"fig.add_trace(go.Scattergl(name='helper'), hf_x=t, hf_y=wrpll_sim.helper-1, row=4, 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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" xaxis4=dict(title=\"time (sec)\"),\n",
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" yaxis1=dict(title=\"phase error\"),\n",
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" yaxis2=dict(title=\"freq error (ppm)\"),\n",
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" yaxis3=dict(title=\"beating period error\"),\n",
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" yaxis4=dict(title=\"Signal\"),\n",
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"\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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},
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"nbformat": 4,
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"nbformat_minor": 4
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}
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@ -0,0 +1,149 @@
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{
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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 wave_gen import square_arr\n",
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"from wrpll import WRPLL_simulator\n",
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"\n",
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"# settings\n",
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"timestep = 4e-10 # even number is recommended to avoid strange glitches\n",
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"total_steps = 200_000_000\n",
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"sim_mode = \"helper_pll\"\n",
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"adpll_period = int(100e-6/timestep) # in simulation steps, 100μs is minimum, smaller = more frequency adjustment and filter calulation per unit time\n",
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"start_up_delay = int(100e-6/timestep) # in simulation steps, the frequency adjustment is DISABLE until steps > 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\": 4,\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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"\n",
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"t = np.linspace(0, timestep*total_steps, total_steps)\n",
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"\n",
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"# simulation will start with\n",
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"# - random phase for main & helper\n",
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"# - gussian based base_adpll error\n",
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"# - gussian jitter for gtx, main and helper with the set standard deviation\n",
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"\n",
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"wrpll_sim = WRPLL_simulator(\n",
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" time=t,\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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" # preset\n",
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" gtx_jitter_SD=19e-12, # 0 = no jitter\n",
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" dcxo_jitter_SD=9e-12,\n",
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" dcxo_freq=125_000_000,\n",
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" freq_acquisition_SD=500,\n",
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" N=4096, # hardware used 4096\n",
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" blind_period=300, # 300 is used to remove most glitches in simulation (for details see README 'Limitation')\n",
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" cycle_slip_comp=True,\n",
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")\n",
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"\n",
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"wrpll_sim.run()\n",
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"\n",
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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=3, shared_xaxes=True))\n",
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"fig.add_trace(go.Scattergl(name='period error'), hf_x=t, 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=t, hf_y=wrpll_sim.gtx+1, row=2, col=1)\n",
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"fig.add_trace(go.Scattergl(name='main'), hf_x=t, hf_y=wrpll_sim.main, row=2, col=1)\n",
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"fig.add_trace(go.Scattergl(name='helper'), hf_x=t, hf_y=wrpll_sim.helper-1, row=2, col=1)\n",
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"\n",
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"fig.add_trace(go.Scattergl(name='helper'), hf_x=t, hf_y=wrpll_sim.helper_adpll, row=3, 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=500,\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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},
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"nbformat": 4,
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"nbformat_minor": 4
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}
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@ -0,0 +1,159 @@
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{
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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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"## Main PLL mode example\n",
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"\n",
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"Time domain simulation with main PLL mode, and helper PLL is assumed to be locked \n",
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"\n",
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"(`helper_init_freq` variable need to be set)\n",
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"\n",
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"\n",
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||||||
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"- Period error (**Helper PLL**)\n",
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||||||
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" - $\\Delta{period} = N - (tag_{gtx}[n] - tag_{gtx}[n-1]) $\n",
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||||||
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" - where ideally $f_{helper} = \\dfrac{f_{in} * (N-1)}{N}$ \n",
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||||||
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"\n",
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||||||
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"- Phase error (**Main PLL**)\n",
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||||||
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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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||||||
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" - $\\Delta\\phi[n] = \\begin{cases}\n",
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||||||
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" \\Delta tag[n] - N, & \\text{if } \\Delta tag > N/2 \\\\\n",
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" \\Delta tag[n], & otherwise\n",
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||||||
|
" \\end{cases} \\quad$\n",
|
||||||
|
" \n",
|
||||||
|
"\n",
|
||||||
|
"- ADPLL PID (common for main and helper PLL)\n",
|
||||||
|
" - $P[n] = err[n] * K_P$\n",
|
||||||
|
" - $I[n] = I[n-1] + err[n] * K_I$\n",
|
||||||
|
" - $D[n] = (err[n] - err[n-1]) * K_D$\n",
|
||||||
|
" - $adpll[n] = \\text{base adpll} + P[i] + I[n] + D[n] $\n",
|
||||||
|
" - where $\\text{base adpll}$ is constant and obtain from frequency counter in HW"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": null,
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [],
|
||||||
|
"source": [
|
||||||
|
"from plotly_resampler import FigureResampler, FigureWidgetResampler\n",
|
||||||
|
"from plotly.subplots import make_subplots\n",
|
||||||
|
"import plotly.graph_objects as go\n",
|
||||||
|
"import numpy as np\n",
|
||||||
|
"from wave_gen import square_arr\n",
|
||||||
|
"from wrpll import WRPLL_simulator\n",
|
||||||
|
"\n",
|
||||||
|
"# settings\n",
|
||||||
|
"timestep = 4e-10 # even number is recommended to avoid strange glitches\n",
|
||||||
|
"total_steps = 200_000_000\n",
|
||||||
|
"sim_mode = \"main_pll\"\n",
|
||||||
|
"adpll_period = int(100e-6/timestep) # in simulation steps, 100μs is minimum, smaller = more frequency adjustment and filter calulation per unit time\n",
|
||||||
|
"start_up_delay = int(100e-6/timestep) # in simulation steps, the frequency adjustment is DISABLE until steps > start_up_delay\n",
|
||||||
|
"\n",
|
||||||
|
"gtx_freq = 125_001_519\n",
|
||||||
|
"\n",
|
||||||
|
"helper_init_freq = gtx_freq * (4096-1)/4096\n",
|
||||||
|
"\n",
|
||||||
|
"helper_filter = { # unused\n",
|
||||||
|
" \"KP\": 2,\n",
|
||||||
|
" \"KI\": 4,\n",
|
||||||
|
" \"KD\": 0,\n",
|
||||||
|
"}\n",
|
||||||
|
"\n",
|
||||||
|
"main_filter = { \n",
|
||||||
|
" \"KP\": 12,\n",
|
||||||
|
" \"KI\": 0,\n",
|
||||||
|
" \"KD\": 0,\n",
|
||||||
|
"}\n",
|
||||||
|
"\n",
|
||||||
|
"\n",
|
||||||
|
"t = np.linspace(0, timestep*total_steps, total_steps)\n",
|
||||||
|
"\n",
|
||||||
|
"# simulation will start with\n",
|
||||||
|
"# - random phase for main & helper\n",
|
||||||
|
"# - gussian based base_adpll error\n",
|
||||||
|
"# - gussian jitter for gtx, main and helper with the set standard deviation\n",
|
||||||
|
"\n",
|
||||||
|
"wrpll_sim = WRPLL_simulator(\n",
|
||||||
|
" time=t,\n",
|
||||||
|
" sim_mode=sim_mode,\n",
|
||||||
|
" helper_filter=helper_filter,\n",
|
||||||
|
" main_filter=main_filter,\n",
|
||||||
|
" gtx_freq=gtx_freq,\n",
|
||||||
|
" adpll_write_period=adpll_period,\n",
|
||||||
|
" start_up_delay=start_up_delay,\n",
|
||||||
|
" helper_init_freq=helper_init_freq,\n",
|
||||||
|
" # preset\n",
|
||||||
|
" gtx_jitter_SD=19e-12, # 0 = no jitter\n",
|
||||||
|
" dcxo_jitter_SD=9e-12,\n",
|
||||||
|
" dcxo_freq=125_000_000,\n",
|
||||||
|
" freq_acquisition_SD=100,\n",
|
||||||
|
" N=4096, # hardware used 4096\n",
|
||||||
|
" blind_period=300, # 300 is used to remove most glitches in simulation (for details see README 'Limitation')\n",
|
||||||
|
" cycle_slip_comp=True,\n",
|
||||||
|
")\n",
|
||||||
|
"wrpll_sim.run()\n",
|
||||||
|
"\n",
|
||||||
|
"# faster than pyplot with resampling feature\n",
|
||||||
|
"# see https://github.com/predict-idlab/plotly-resampler\n",
|
||||||
|
"\n",
|
||||||
|
"fig = FigureWidgetResampler(make_subplots(rows=4, shared_xaxes=True))\n",
|
||||||
|
"fig.add_trace(go.Scattergl(name='phase error'), hf_x=t, hf_y=wrpll_sim.phase_err, row=1, col=1)\n",
|
||||||
|
"\n",
|
||||||
|
"fig.add_trace(go.Scattergl(name='freq error (ppm)'), hf_x=t, hf_y=(\n",
|
||||||
|
" wrpll_sim.mainfreq-gtx_freq) * (1e6/gtx_freq), row=2, col=1)\n",
|
||||||
|
"\n",
|
||||||
|
"fig.add_trace(go.Scattergl(name='period error'), hf_x=t, hf_y=wrpll_sim.period_err, row=3, col=1)\n",
|
||||||
|
"\n",
|
||||||
|
"fig.add_trace(go.Scattergl(name='gtx'), hf_x=t, hf_y=wrpll_sim.gtx+1, row=4, col=1)\n",
|
||||||
|
"fig.add_trace(go.Scattergl(name='main'), hf_x=t, hf_y=wrpll_sim.main, row=4, col=1)\n",
|
||||||
|
"fig.add_trace(go.Scattergl(name='helper'), hf_x=t, hf_y=wrpll_sim.helper-1, row=4, col=1)\n",
|
||||||
|
"\n",
|
||||||
|
"\n",
|
||||||
|
"fig.update_layout(\n",
|
||||||
|
" xaxis4=dict(title=\"time (sec)\"),\n",
|
||||||
|
" yaxis1=dict(title=\"phase error\"),\n",
|
||||||
|
" yaxis2=dict(title=\"freq error (ppm)\"),\n",
|
||||||
|
" yaxis3=dict(title=\"beating period error\"),\n",
|
||||||
|
" yaxis4=dict(title=\"Signal\"),\n",
|
||||||
|
"\n",
|
||||||
|
" height=1000,\n",
|
||||||
|
" showlegend=True,\n",
|
||||||
|
" title_text=\"PLL example\",\n",
|
||||||
|
" legend=dict(\n",
|
||||||
|
" orientation=\"h\",\n",
|
||||||
|
" yanchor=\"bottom\",\n",
|
||||||
|
" y=1.02,\n",
|
||||||
|
" xanchor=\"right\",\n",
|
||||||
|
" x=1,\n",
|
||||||
|
" ),\n",
|
||||||
|
")\n",
|
||||||
|
"\n",
|
||||||
|
"fig"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
],
|
||||||
|
"metadata": {
|
||||||
|
"kernelspec": {
|
||||||
|
"display_name": "Python 3 (ipykernel)",
|
||||||
|
"language": "python",
|
||||||
|
"name": "python3"
|
||||||
|
},
|
||||||
|
"language_info": {
|
||||||
|
"codemirror_mode": {
|
||||||
|
"name": "ipython",
|
||||||
|
"version": 3
|
||||||
|
},
|
||||||
|
"file_extension": ".py",
|
||||||
|
"mimetype": "text/x-python",
|
||||||
|
"name": "python",
|
||||||
|
"nbconvert_exporter": "python",
|
||||||
|
"pygments_lexer": "ipython3",
|
||||||
|
"version": "3.11.6"
|
||||||
|
}
|
||||||
|
},
|
||||||
|
"nbformat": 4,
|
||||||
|
"nbformat_minor": 4
|
||||||
|
}
|
||||||
Loading…
Reference in New Issue