{ "cells": [ { "cell_type": "markdown", "id": "34f979dc", "metadata": {}, "source": [ "## SM200C gain/link budget calculation\n", "Annie Polish, October 2025\n", "\n", "Estimating the gain of the SM200C hi-band chain, based on [the cal HW logbook traces](https://ops.bicepkeck.org/calibration/calibration_hardware_logbook.html#20241207)\n", "\n", "Traces were extracted from the plot using [Web Plot Digitize V4](https://apps.automeris.io/wpd4/); the project file is included alongside this notebook as `wpd_project.tar`." ] }, { "cell_type": "code", "execution_count": 1, "id": "acd7f236", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.constants import Boltzmann, speed_of_light\n", "import json\n", "\n", "ROOMTEMP = 290 #K\n", "NOISE_ENR_DB = 24 # the noise diode has 24dB excess noise ratio\n", "ANT_GAIN_DBI = 1 # the antenna datasheet says the gain of this antenna is 1dBi. Typically it should be 2.15 for an omni(?)\n", "ADDITIONAL_ATTEN = -7-8 # 8db of attenuators, 7db from the splitter" ] }, { "cell_type": "code", "execution_count": 2, "id": "492ebe02", "metadata": {}, "outputs": [], "source": [ "# load the noise diode data\n", "# data extracted with apps.automeris.io/wpd4\n", "noise_off_x = np.array([0.25292,0.46551,0.62348,0.95905,1.39264,1.54517,1.99360,2.36031,2.80756,3.29551,3.76672,3.92132,4.37549,4.80875,5.29290,5.61082,6.04398,6.51667,6.87754,7.35089,7.82203,8.09364,8.56679,9.08258,9.61476,9.65405,10.16749,10.38604,10.77240,11.13407,11.57843,11.73266,12.21876,12.71363,13.17638,13.65030,13.84646,14.32820,14.81588,15.22684,15.63499,16.08486,16.56402,17.11884,17.61926,18.13079,18.64781,19.16557,19.51819,20.03695])\n", "noise_off_y = np.array([-79.92468,-74.91654,-76.29120,-73.90435,-74.94703,-77.04405,-77.48314,-78.95600,-79.61676,-80.81278,-81.22961,-82.63761,-82.57757,-83.03041,-83.02353,-83.40201,-83.68293,-84.35781,-85.50843,-85.96105,-86.35451,-87.57685,-87.29860,-87.40138,-87.51855,-88.50324,-87.82449,-88.87496,-89.00155,-89.88521,-89.17186,-90.69929,-89.87266,-89.91282,-90.49608,-90.22105,-91.08654,-90.50977,-90.10667,-90.87619,-90.05795,-90.65826,-90.72534,-89.73036,-88.25209,-89.78260,-89.47823,-88.92414,-88.67837,-87.79042])\n", "noise_on_x = np.array([0.09909,0.15201,0.15879,0.19804,0.25818,0.32704,0.35853,0.43538,0.76550,1.13023,1.58649,2.05723,2.21100,2.65696,3.05403,3.49075,3.85091,4.32299,4.83738,5.35253,5.86706,6.34118,6.55758,7.00285,7.43275,7.89616,8.27318,8.64253,9.03734,9.50078,9.74769,10.07347,10.40470,10.66950,10.90831,11.33733,11.65677,12.13054,12.64632,13.16083,13.62610,13.81980,14.22519,14.57512,14.94656,15.41196,15.92814,15.97613,16.42938,16.61754,17.08191,17.43192,17.84879,18.20971,18.66325,18.74475,19.10756,19.40298,19.69806,20.01900])\n", "noise_on_y = np.array([-79.06616,-77.05772,-74.78854,-72.11991,-69.00259,-65.58635,-62.89816,-58.76841,-55.26056,-53.25221,-56.08160,-56.65723,-58.34084,-58.73308,-60.18889,-60.68846,-62.07794,-62.95655,-63.53163,-63.85155,-64.37777,-64.97085,-66.57370,-66.90347,-68.48148,-68.76334,-69.36230,-68.81909,-69.39330,-69.57250,-70.50931,-69.82664,-71.13457,-70.55944,-72.08968,-71.79518,-72.84133,-72.28980,-72.39801,-72.93327,-73.03668,-74.64203,-72.97029,-73.82158,-72.91265,-73.25674,-74.15614,-75.49019,-74.28162,-75.80370,-74.69943,-75.57818,-76.08999,-77.22656,-77.76654,-79.27764,-78.50383,-81.25140,-82.45859,-82.45730])\n", "\n", "# interpolate it down to a shared axis\n", "freq_ax = np.arange(1, 20.0001, 0.5)\n", "noise_off_mags = np.interp(freq_ax, noise_off_x, noise_off_y)\n", "noise_on_mags = np.interp(freq_ax, noise_on_x, noise_on_y)\n", "\n", "# compute the gain using the noise diode measurements\n", "T_noise = (ROOMTEMP * 10**(NOISE_ENR_DB/10)) - ROOMTEMP # P = Kb*T*B; the 1e3 is for W -> mW\n", "mW_noise_on = Boltzmann * T_noise * 300e3 * 1e3\n", "dBm_noise_on = 10*np.log10(mW_noise_on)\n", "gains_noise_on = noise_on_mags - dBm_noise_on" ] }, { "cell_type": "code", "execution_count": 3, "id": "b63bc41a", "metadata": {}, "outputs": [], "source": [ "# load the component datasheet info\n", "FNAME = \"sm200c_components.json\"\n", "with open(FNAME, 'r', encoding='utf-8') as file:\n", " data = json.load(file)\n", "\n", "# compute the gain from adding up the components in the RF chain\n", "components = data.get(\"components\", [])\n", "chain_gain = np.full_like(freq_ax, ADDITIONAL_ATTEN)\n", "for comp in components:\n", " comp_mags = np.interp(freq_ax*1e3, comp[\"freqs\"], comp[\"mags\"])\n", " chain_gain += comp_mags\n", " if \"Amp\" in comp[\"name\"]: chain_gain += comp_mags # there are two amplifiers" ] }, { "cell_type": "code", "execution_count": 4, "id": "a28adb82", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10,5))\n", "plt.plot(freq_ax, gains_noise_on, label=\"Noise-diode-derived gain\")\n", "plt.plot(freq_ax, chain_gain, label=\"Datasheet-derived gain\")\n", "plt.title(\"End-to-end gain of SM200C high band\")\n", "plt.xlabel(\"Frequency [GHz]\")\n", "plt.ylabel(\"Gain [dB]\")\n", "plt.legend()\n", "plt.grid()\n", "plt.tight_layout()\n", "plt.savefig(\"rf_chain_gain.png\")\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "b8bd0aa9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "1.2589254117941673\n" ] } ], "source": [ "# compute the effective aperture of the antenna (Kraus eqn 6-16)\n", "\n", "ant_gain_lin = 10**(ANT_GAIN_DBI/10)\n", "lams = speed_of_light/(freq_ax*1e9)\n", "effective_aperture = (ant_gain_lin * lams**2)/(4*np.pi)\n", "\n", "# Friis transmission formula\n", "system_flux_gain = 10*np.log10(effective_aperture) + gains_noise_on + 30 # 30 for W to mW\n", "\n", "fig = plt.figure(figsize=(10,5))\n", "plt.plot(freq_ax, system_flux_gain)\n", "plt.title(\"SM200C: Conversion factor between incident flux and reported power\")\n", "plt.xlabel(\"Frequency [GHz]\")\n", "plt.ylabel(\"Gain/conversion factor [dBm per (dBW/m2)]\")\n", "plt.grid()\n", "plt.tight_layout()\n", "plt.savefig(\"conversion_factor.png\")\n", "plt.show()\n", "\n", "print(10**(ANT_GAIN_DBI/10))" ] }, { "cell_type": "code", "execution_count": 6, "id": "d5931c08", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "min_detectable_signal = noise_off_mags-system_flux_gain\n", "fig = plt.figure(figsize=(10,5))\n", "plt.plot(freq_ax, min_detectable_signal)\n", "plt.title(\"SM200C: Minimum detectable signal at 1:1 SNR\")\n", "plt.xlabel(\"Frequency [GHz]\")\n", "plt.ylabel(\"Minimum detectable irradiance [dBW/m2]\")\n", "plt.grid()\n", "plt.tight_layout()\n", "plt.savefig(\"min_visible_signal.png\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "id": "17ec0a34", "metadata": {}, "outputs": [], "source": [ "# save the calibration file\n", "np.savetxt(\"sm200c_cal.csv\", np.array([freq_ax, system_flux_gain]).T, header=\"Freq [GHz], Conversion factor [dBm per dBW/m2]\", delimiter=',', fmt='%.5f')" ] }, { "cell_type": "markdown", "id": "9fe1b1ea", "metadata": {}, "source": [ "## Comparing with Alex Pollack's 2022-23 data" ] }, { "cell_type": "code", "execution_count": 10, "id": "162381bd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "37\n", "-120.62831145305324\n", "The EIRP of the Starlink terminal at the RF building was 32.63 dBm as measured from DSL\n" ] } ], "source": [ "# calculate the EIRP of the Starlink terminal as measured by Alex Pollack in 22/23\n", "\n", "center_f = 14.248*1e9\n", "\n", "# gains of various parts of the chain\n", "cable_long = -11; cable_short = -4 # datasheet values\n", "amp_back = 25; amp_front = 30 #datasheet or quoted in document values\n", "fudge_factor = -3 # I made this one up to account for connectors and short cables\n", "gain_ant = 11 # from the very fuzzy antenna datasheet\n", "full_chain_gain = cable_long+cable_short+amp_back+amp_front+fudge_factor+gain_ant\n", "print(full_chain_gain-gain_ant)\n", "\n", "# free space path loss from RF building to DSL\n", "dsl_rf_distance = 1800 # meters\n", "fspl = 20*np.log10((speed_of_light/center_f)/(4*np.pi*dsl_rf_distance))\n", "print(fspl)\n", "\n", "# convert displayed value to EIRP\n", "rfsector_noabs_mag = -40\n", "eirp_starlink = rfsector_noabs_mag - full_chain_gain - fspl\n", "print(f\"The EIRP of the Starlink terminal at the RF building was {eirp_starlink:.2f} dBm as measured from DSL\")" ] }, { "cell_type": "code", "execution_count": 12, "id": "ade0bc46", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The SM200C in its current config would see Starlink at the RF building at -65.42 dBm,\n", "against a DANL of -98.27 at 1MHz RBW, for an expected SNR of 32.85\n" ] } ], "source": [ "# what would we see on the SM200C?\n", "# the Friis formula is P_recieved = P_transmitted + G_reciever + FSPL\n", "# for the same FSPL as we just calculated (since we're still measuring DSL to RF sector)\n", "# here I use gains_noise_on, skipping the antenna and flux part of the calculation (they get wrapped up into the Friis transmission equation)\n", "sm200c_meas_level = eirp_starlink + gains_noise_on[freq_ax==14.5] + ANT_GAIN_DBI + fspl\n", "\n", "print(f\"The SM200C in its current config would see Starlink at the RF building at {sm200c_meas_level[0]:.2f} dBm,\")\n", "print(f\"against a DANL of {min_detectable_signal[freq_ax==14.5][0]:.2f} at 1MHz RBW, for an expected SNR of {sm200c_meas_level[0]-min_detectable_signal[freq_ax==14.5][0]:.2f}\")" ] } ], "metadata": { "kernelspec": { "display_name": "newenv", "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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }