{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "quality-excess", "metadata": {}, "outputs": [], "source": [ "# This tutorial is used to demonstrate how to import data stored in a file\n", "# into an array.\n", "import numpy as np \n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "id": "universal-samuel", "metadata": {}, "outputs": [], "source": [ "# Import data. Use 'np.loadtext()' to import the data contained in the file\n", "# 'short - 085 - 10 MHz - 13.5 GHz - 00.txt'. In this example, the file\n", "# must be contained in the same folder as the Python script (*.py file).\n", "shortData = np.loadtxt(\"short - 085 - 10 MHz - 13.5 GHz - 00.txt\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "elegant-record", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(3201, 3)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# The np.shape() function tells us that Python has imported the data as a\n", "# matrix with 3201 rows and 3 columns.\n", "np.shape(shortData)" ] }, { "cell_type": "code", "execution_count": 4, "id": "visible-motorcycle", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(3201, 3)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Here's another way to implement the shape function.\n", "shortData.shape" ] }, { "cell_type": "code", "execution_count": 5, "id": "still-affiliation", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1.00000000e+07, -9.79967200e-01, 1.26281500e-01],\n", " [ 1.00225499e+07, -9.80064300e-01, 1.26515500e-01],\n", " [ 1.00451508e+07, -9.79857900e-01, 1.26920500e-01],\n", " ...,\n", " [ 1.34393205e+10, -4.03390300e-01, 7.87926800e-01],\n", " [ 1.34696261e+10, -1.70853500e-01, 8.71030000e-01],\n", " [ 1.35000000e+10, 6.73595500e-02, 8.86067200e-01]])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Here's the matrix of imported data. \n", "shortData" ] }, { "cell_type": "code", "execution_count": 8, "id": "compressed-politics", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1.00000000e+07, -9.79967200e-01, 1.26281500e-01],\n", " [ 1.00225499e+07, -9.80064300e-01, 1.26515500e-01],\n", " [ 1.00451508e+07, -9.79857900e-01, 1.26920500e-01],\n", " [ 1.00678025e+07, -9.79813100e-01, 1.27158100e-01],\n", " [ 1.00905053e+07, -9.79907000e-01, 1.27449600e-01],\n", " [ 1.01132594e+07, -9.79816200e-01, 1.27722900e-01],\n", " [ 1.01360647e+07, -9.79771200e-01, 1.27747500e-01],\n", " [ 1.01589215e+07, -9.79773800e-01, 1.28182400e-01],\n", " [ 1.01818298e+07, -9.79673000e-01, 1.28519000e-01],\n", " [ 1.02047898e+07, -9.79705500e-01, 1.28702100e-01],\n", " [ 1.02278016e+07, -9.79395000e-01, 1.28995500e-01],\n", " [ 1.02508652e+07, -9.79601900e-01, 1.29305200e-01],\n", " [ 1.02739808e+07, -9.79719200e-01, 1.29694700e-01],\n", " [ 1.02971486e+07, -9.79620700e-01, 1.29881500e-01],\n", " [ 1.03203686e+07, -9.79554200e-01, 1.30014400e-01],\n", " [ 1.03436410e+07, -9.79571500e-01, 1.30285800e-01],\n", " [ 1.03669659e+07, -9.79509700e-01, 1.30492300e-01],\n", " [ 1.03903433e+07, -9.79425300e-01, 1.30987300e-01],\n", " [ 1.04137735e+07, -9.79488700e-01, 1.31173900e-01],\n", " [ 1.04372565e+07, -9.79214100e-01, 1.31504100e-01],\n", " [ 1.04607925e+07, -9.79441600e-01, 1.31628500e-01],\n", " [ 1.04843815e+07, -9.79394700e-01, 1.31831300e-01],\n", " [ 1.05080237e+07, -9.79580400e-01, 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8.66042700e-01],\n", " [ 1.30221322e+10, 6.38659400e-02, 8.81237200e-01],\n", " [ 1.30514970e+10, 3.21144200e-01, 8.18703200e-01],\n", " [ 1.30809281e+10, 5.63774200e-01, 6.70380100e-01],\n", " [ 1.31104255e+10, 7.56531900e-01, 4.24796100e-01],\n", " [ 1.31399895e+10, 8.52923500e-01, 9.16555500e-02],\n", " [ 1.31696201e+10, 7.95522500e-01, -2.87890600e-01],\n", " [ 1.31993175e+10, 5.55039000e-01, -6.28913400e-01],\n", " [ 1.32290819e+10, 1.62449400e-01, -8.19168500e-01],\n", " [ 1.32589134e+10, -2.73072400e-01, -7.93124800e-01],\n", " [ 1.32888122e+10, -6.25025500e-01, -5.70965500e-01],\n", " [ 1.33187784e+10, -8.21453800e-01, -2.42117800e-01],\n", " [ 1.33488122e+10, -8.60170400e-01, 1.01451400e-01],\n", " [ 1.33789137e+10, -7.77158200e-01, 4.01369100e-01],\n", " [ 1.34090830e+10, -6.12728400e-01, 6.31993900e-01],\n", " [ 1.34393205e+10, -4.03390300e-01, 7.87926800e-01],\n", " [ 1.34696261e+10, -1.70853500e-01, 8.71030000e-01],\n", " [ 1.35000000e+10, 6.73595500e-02, 8.86067200e-01]])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# We can force Python to show the full matrix.\n", "np.set_printoptions(threshold = 10000)\n", "shortData" ] }, { "cell_type": "code", "execution_count": 9, "id": "sustainable-valve", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1.00000000e+07, 1.00225499e+07, 1.00451508e+07, 1.00678025e+07,\n", " 1.00905053e+07, 1.01132594e+07, 1.01360647e+07, 1.01589215e+07,\n", " 1.01818298e+07, 1.02047898e+07, 1.02278016e+07, 1.02508652e+07,\n", " 1.02739808e+07, 1.02971486e+07, 1.03203686e+07, 1.03436410e+07,\n", " 1.03669659e+07, 1.03903433e+07, 1.04137735e+07, 1.04372565e+07,\n", " 1.04607925e+07, 1.04843815e+07, 1.05080237e+07, 1.05317193e+07,\n", " 1.05554682e+07, 1.05792708e+07, 1.06031270e+07, 1.06270370e+07,\n", " 1.06510009e+07, 1.06750188e+07, 1.06990909e+07, 1.07232173e+07,\n", " 1.07473981e+07, 1.07716335e+07, 1.07959234e+07, 1.08202682e+07,\n", " 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6.65533265e+09, 6.67034039e+09,\n", " 6.68538198e+09, 6.70045748e+09, 6.71556697e+09, 6.73071054e+09,\n", " 6.74588826e+09, 6.76110020e+09, 6.77634645e+09, 6.79162708e+09,\n", " 6.80694216e+09, 6.82229178e+09, 6.83767602e+09, 6.85309494e+09,\n", " 6.86854863e+09, 6.88403718e+09, 6.89956064e+09, 6.91511912e+09,\n", " 6.93071268e+09, 6.94634140e+09, 6.96200536e+09, 6.97770465e+09,\n", " 6.99343934e+09, 7.00920951e+09, 7.02501524e+09, 7.04085661e+09,\n", " 7.05673371e+09, 7.07264661e+09, 7.08859539e+09, 7.10458014e+09,\n", " 7.12060093e+09, 7.13665785e+09, 7.15275097e+09, 7.16888039e+09,\n", " 7.18504618e+09, 7.20124842e+09, 7.21748720e+09, 7.23376260e+09,\n", " 7.25007470e+09, 7.26642358e+09, 7.28280932e+09, 7.29923202e+09,\n", " 7.31569175e+09, 7.33218860e+09, 7.34872265e+09, 7.36529398e+09,\n", " 7.38190268e+09, 7.39854883e+09, 7.41523252e+09, 7.43195384e+09,\n", " 7.44871285e+09, 7.46550966e+09, 7.48234435e+09, 7.49921700e+09,\n", " 7.51612769e+09, 7.53307652e+09, 7.55006357e+09, 7.56708893e+09,\n", " 7.58415267e+09, 7.60125490e+09, 7.61839569e+09, 7.63557513e+09,\n", " 7.65279332e+09, 7.67005033e+09, 7.68734625e+09, 7.70468118e+09,\n", " 7.72205519e+09, 7.73946839e+09, 7.75692085e+09, 7.77441267e+09,\n", " 7.79194393e+09, 7.80951472e+09, 7.82712514e+09, 7.84477526e+09,\n", " 7.86246519e+09, 7.88019501e+09, 7.89796481e+09, 7.91577468e+09,\n", " 7.93362471e+09, 7.95151500e+09, 7.96944562e+09, 7.98741668e+09,\n", " 8.00542826e+09, 8.02348046e+09, 8.04157337e+09, 8.05970708e+09,\n", " 8.07788168e+09, 8.09609726e+09, 8.11435392e+09, 8.13265174e+09,\n", " 8.15099083e+09, 8.16937128e+09, 8.18779317e+09, 8.20625660e+09,\n", " 8.22476166e+09, 8.24330846e+09, 8.26189708e+09, 8.28052761e+09,\n", " 8.29920016e+09, 8.31791482e+09, 8.33667167e+09, 8.35547082e+09,\n", " 8.37431237e+09, 8.39319640e+09, 8.41212301e+09, 8.43109231e+09,\n", " 8.45010438e+09, 8.46915932e+09, 8.48825723e+09, 8.50739821e+09,\n", " 8.52658235e+09, 8.54580975e+09, 8.56508050e+09, 8.58439472e+09,\n", " 8.60375248e+09, 8.62315390e+09, 8.64259907e+09, 8.66208809e+09,\n", " 8.68162105e+09, 8.70119806e+09, 8.72081922e+09, 8.74048462e+09,\n", " 8.76019437e+09, 8.77994856e+09, 8.79974730e+09, 8.81959069e+09,\n", " 8.83947882e+09, 8.85941180e+09, 8.87938973e+09, 8.89941271e+09,\n", " 8.91948084e+09, 8.93959422e+09, 8.95975296e+09, 8.97995716e+09,\n", " 9.00020692e+09, 9.02050234e+09, 9.04084352e+09, 9.06123058e+09,\n", " 9.08166361e+09, 9.10214271e+09, 9.12266800e+09, 9.14323957e+09,\n", " 9.16385753e+09, 9.18452198e+09, 9.20523303e+09, 9.22599078e+09,\n", " 9.24679534e+09, 9.26764682e+09, 9.28854532e+09, 9.30949094e+09,\n", " 9.33048379e+09, 9.35152399e+09, 9.37261163e+09, 9.39374682e+09,\n", " 9.41492967e+09, 9.43616029e+09, 9.45743878e+09, 9.47876526e+09,\n", " 9.50013982e+09, 9.52156259e+09, 9.54303366e+09, 9.56455316e+09,\n", " 9.58612118e+09, 9.60773783e+09, 9.62940323e+09, 9.65111748e+09,\n", " 9.67288070e+09, 9.69469300e+09, 9.71655448e+09, 9.73846527e+09,\n", " 9.76042546e+09, 9.78243516e+09, 9.80449451e+09, 9.82660359e+09,\n", " 9.84876253e+09, 9.87097144e+09, 9.89323043e+09, 9.91553962e+09,\n", " 9.93789911e+09, 9.96030902e+09, 9.98276946e+09, 1.00052806e+10,\n", " 1.00278424e+10, 1.00504552e+10, 1.00731189e+10, 1.00958337e+10,\n", " 1.01185998e+10, 1.01414172e+10, 1.01642860e+10, 1.01872064e+10,\n", " 1.02101785e+10, 1.02332024e+10, 1.02562782e+10, 1.02794061e+10,\n", " 1.03025861e+10, 1.03258184e+10, 1.03491030e+10, 1.03724402e+10,\n", " 1.03958300e+10, 1.04192726e+10, 1.04427680e+10, 1.04663164e+10,\n", " 1.04899178e+10, 1.05135726e+10, 1.05372806e+10, 1.05610421e+10,\n", " 1.05848572e+10, 1.06087260e+10, 1.06326486e+10, 1.06566252e+10,\n", " 1.06806558e+10, 1.07047407e+10, 1.07288798e+10, 1.07530734e+10,\n", " 1.07773215e+10, 1.08016243e+10, 1.08259819e+10, 1.08503944e+10,\n", " 1.08748620e+10, 1.08993848e+10, 1.09239628e+10, 1.09485963e+10,\n", " 1.09732854e+10, 1.09980300e+10, 1.10228306e+10, 1.10476870e+10,\n", " 1.10725995e+10, 1.10975681e+10, 1.11225931e+10, 1.11476745e+10,\n", " 1.11728124e+10, 1.11980070e+10, 1.12232585e+10, 1.12485669e+10,\n", " 1.12739323e+10, 1.12993550e+10, 1.13248350e+10, 1.13503724e+10,\n", " 1.13759675e+10, 1.14016202e+10, 1.14273308e+10, 1.14530994e+10,\n", " 1.14789261e+10, 1.15048110e+10, 1.15307543e+10, 1.15567561e+10,\n", " 1.15828165e+10, 1.16089357e+10, 1.16351138e+10, 1.16613509e+10,\n", " 1.16876472e+10, 1.17140028e+10, 1.17404178e+10, 1.17668924e+10,\n", " 1.17934266e+10, 1.18200208e+10, 1.18466749e+10, 1.18733890e+10,\n", " 1.19001635e+10, 1.19269983e+10, 1.19538936e+10, 1.19808496e+10,\n", " 1.20078663e+10, 1.20349440e+10, 1.20620827e+10, 1.20892827e+10,\n", " 1.21165440e+10, 1.21438667e+10, 1.21712510e+10, 1.21986972e+10,\n", " 1.22262052e+10, 1.22537752e+10, 1.22814074e+10, 1.23091019e+10,\n", " 1.23368589e+10, 1.23646784e+10, 1.23925607e+10, 1.24205059e+10,\n", " 1.24485140e+10, 1.24765854e+10, 1.25047200e+10, 1.25329181e+10,\n", " 1.25611798e+10, 1.25895052e+10, 1.26178944e+10, 1.26463477e+10,\n", " 1.26748652e+10, 1.27034469e+10, 1.27320931e+10, 1.27608039e+10,\n", " 1.27895795e+10, 1.28184199e+10, 1.28473254e+10, 1.28762960e+10,\n", " 1.29053320e+10, 1.29344335e+10, 1.29636006e+10, 1.29928334e+10,\n", " 1.30221322e+10, 1.30514970e+10, 1.30809281e+10, 1.31104255e+10,\n", " 1.31399895e+10, 1.31696201e+10, 1.31993175e+10, 1.32290819e+10,\n", " 1.32589134e+10, 1.32888122e+10, 1.33187784e+10, 1.33488122e+10,\n", " 1.33789137e+10, 1.34090830e+10, 1.34393205e+10, 1.34696261e+10,\n", " 1.35000000e+10])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# To access the individual columns of data, use:\n", "freq = shortData[:, 0]\n", "real = shortData[:, 1]\n", "imag = shortData[:, 2]\n", "freq" ] }, { "cell_type": "code", "execution_count": 10, "id": "duplicate-black", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Of course, we can do do mathematical operations on the data arrays.\n", "# For example, here's the manitude of the complex data set ploted on a log-log scale.\n", "mag = np.sqrt(real**2 + imag**2)\n", "plt.loglog(freq, mag);" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 5 }