{ "cells": [ { "cell_type": "markdown", "id": "be20519c-55a5-49ec-ba5e-bde08d2f9b80", "metadata": {}, "source": [ "# Fitting a one-dimensional cross spectrum\n", "\n", "This notebook covers how to fit in nDspec one of the most common spectral timing products: a one dimensional cross spectrum, as a function of Fourier frequency, between two energy bands. For least-chi squares fitting, nDspec makes use of the [lmfit library](https://lmfit.github.io/lmfit-py/). For error estimation, we encourage users to use Bayesian sampling, as detailed in the tutorial on [fitting power spectra](https://ndspec.readthedocs.io/en/latest/fit_psd.html). Users should never use the error estimates from `lmfit` in scientific publications, as they are highly unreliable for the complex parameter spaces that are common in X-ray spectral and spectral-timing models." ] }, { "cell_type": "code", "execution_count": 1, "id": "7f6d5b5d-11b4-4fb0-b724-f38072365afa", "metadata": {}, "outputs": [], "source": [ "import os\n", "import sys\n", "import numpy as np\n", "\n", "sys.path.append('/home/matteo/Software/nDspec/src/')\n", "from ndspec.Response import ResponseMatrix\n", "import ndspec.FitCrossSpectrum as fitcross\n", "import ndspec.models as models\n", "from ndspec.SimpleFit import load_lc" ] }, { "cell_type": "markdown", "id": "2ff87ea2-7c88-4c40-af1e-b020d5c3332d", "metadata": {}, "source": [ "## Setting up the data with Stingray\n", "\n", "There are two methods of loading a frequency-dependent cross spectrum in nDspec. Users can either provide a Stingray `EventList` object, containing a level-2 event file, or they can provide their own cross spectrum and its errors, along with the corresponding Fourier frequency grid, in the form of a Numpy array. In this notebook, we will use the former method. Because the cross-spectrum is inherently an energy-dependent product, users must also supply an appropriate `ResponseMatrix` object. \n", "\n", "We begin by loading an event file and removing bad time intervals from it (for more details, see the [Stingray documentation page](https://docs.stingray.science/en/stable/notebooks/Spectral%20Timing/Spectral%20Timing%20Exploration.html#Data-loading-and-cleanup.)). We then loand and store the NICER response for this observation." ] }, { "cell_type": "code", "execution_count": 2, "id": "a44bf383-5cf9-4861-b0af-797433c0eb3a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Arf missing, please load it\n", "Arf loaded\n" ] } ], "source": [ "from stingray import EventList\n", "from stingray.gti import get_gti_lengths, get_btis, get_total_gti_length\n", "\n", "obsid = str(106)\n", "path = \"/home/matteo/Data/J1820/EventFiles/\"\n", "fname = path + \"ni1200120\" + obsid+ \"_0mpu7_cl.evt\"\n", "events = EventList.read(fname, \"hea\", additional_columns=[\"DET_ID\"])\n", "\n", "gti_lengths = get_gti_lengths(events.gti)\n", "btis = get_btis(events.gti)\n", "bti_lengths = get_gti_lengths(btis)\n", "\n", "ev_filled = events.fill_bad_time_intervals(max_length=1, buffer_size=4)\n", "\n", "rmfpath = path+\"1200120106_rmf.pha\"\n", "nicer_matrix = ResponseMatrix(rmfpath)\n", "arfpath = path+\"1200120106_arf.pha\"\n", "nicer_matrix.load_arf(arfpath)" ] }, { "cell_type": "markdown", "id": "3271d478-901a-4898-a428-c7debae476c8", "metadata": {}, "source": [ "After loading the data and response, we can set up our fitter object. Because a cross spectrum is more complicated than a time-averaged or power spectrum, we need to specify several more quantities.\n", "\n", "First, after initializing our fitter object `FitCrossSpectrum`, we need to set the coordinates that we will use for the complex cross spectra both in the model and data. Users can do this with the `set_coordinates` method, which selects between polar coordinates (modulus and phase), cartesian coordinates (real and imaginary parts), or lags (phase alone, converted into a time lag). Additionally, we need to specify whether we will use frequency or energy dependent products - for example, lag-frequency or lag-energy spectra. In this notebook we will focus on frequency dependent products. Users can do this with the `set_product_dependence` method.\n", "\n", "Having set up the fitter object, we then need to define the information required to convert our loaded event file into cross spectra. We need to define reference and subject bands (here, 0.5-1.5 and 2-5 keV respectively), the size of the segments to average over (which will set the lowest Fourier frequency bin), the time resolution to use (which will set the highest Fourier frequency bin), and the normalization to use for the data. The `set_data` then converts the provided `EventList` object internally into a Poisson-noise subtracted cross spectrum, based on these inputs. For more information on calculating a cross spectrum, we refer users to [Uttley et al. 2014](https://ui.adsabs.harvard.edu/abs/2014A%26ARv..22...72U/abstract). \n", "\n", "After loading the data, we can plot it with the `plot_data_1d` method. " ] }, { "cell_type": "code", "execution_count": 3, "id": "9e792c63-3233-4b39-a615-be262bb75d24", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/matteo/.local/lib/python3.10/site-packages/stingray/fourier.py:1139: RuntimeWarning: invalid value encountered in sqrt\n", " dRe = dIm = dG = np.sqrt(power_over_2n * (seg_power - frac))\n", "/home/matteo/.local/lib/python3.10/site-packages/stingray/fourier.py:1141: RuntimeWarning: invalid value encountered in sqrt\n", " dphi = np.sqrt(\n", "/home/matteo/.local/lib/python3.10/site-packages/stingray/crossspectrum.py:2991: UserWarning: Some error bars in the Averaged Crossspectrum are invalid.Defaulting to sqrt(2 / M) in Leahy norm, rescaled to the appropriate norm.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lorentz_fit = fitcross.FitCrossSpectrum()\n", "lorentz_fit.set_coordinates(\"polar\")\n", "lorentz_fit.set_product_dependence(\"frequency\")\n", "\n", "ref_band = [0.5,1.5]\n", "sub_band = [2.,5.]\n", "segment_size = 8\n", "dt = 0.05\n", "norm_data = \"frac\"\n", "\n", "lorentz_fit.set_data(nicer_matrix,ref_band,sub_band,events,\n", " time_res=dt,seg_size=segment_size,norm=norm_data) \n", "\n", "lorentz_fit.plot_data_1d()" ] }, { "cell_type": "markdown", "id": "35ea1813-a991-40e8-9373-a77d591c0d35", "metadata": {}, "source": [ "Note that we don't have a one-dimensional cross spectrum yet - in fact, the data is binned in four or five channels: the reference band (0.5-1.5 keV), the subject band (2-5 keV), the channels between reference and subject bands (1.5-2 keV), and finally the channels from whichever is lowest/highest among the subject/reference band bounds and the start/end of the response matrix (0-0.5 keV and 5-15 keV respectively). \n", "\n", "For our one-dimensional analysis we are clearly not interested in modelling these additional channels (including the reference band channels), so we must set them to be ignored identically to how one would ignore energy bins in a time-averaged spectrum. Therefore, we ignore all the data except that contained in the subject band channels. Once we plot the data again, we see that the only channel left is the subject band we are interested in." ] }, { "cell_type": "code", "execution_count": 4, "id": "e69dafb5-50ef-4e8e-9625-e9989074ab9d", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lorentz_fit.ignore_energies(0,2.0)\n", "lorentz_fit.ignore_energies(5.0,20.0)\n", "lorentz_fit.plot_data_1d()" ] }, { "cell_type": "markdown", "id": "99132b28-220f-4476-b839-5c775d6c8f22", "metadata": {}, "source": [ "An important note is that in any cross spectrum fit, nDspec automatically rebins the instrument response to match the channel grid specified when loading the data. In this case, the response is rebinned down to just the five channels discussed above. This greatly speeds up folding the response matrix with our chosen model." ] }, { "cell_type": "code", "execution_count": 5, "id": "73c56c6a-a9ed-4e85-aeaf-7c982bdf7d75", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/matteo/Software/nDspec/src/ndspec/Response.py:526: RuntimeWarning: divide by zero encountered in log10\n", " p = plt.pcolormesh(x_axis,energy_array,np.log10(self.resp_matrix),\n" ] }, { "data": { "image/png": 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qOAb6YvBl2k3AOdh/n1VxTPXl71kVx2TPvnqWdhMwoy+++EJ/fuO6Hj9+nGpuGeanqr6T6HKXLX2e+vd+XpkP9iYj2JuNYG82gr25CPZmI9ibK2vB3pWTaLBvyk/9ez8vI2rsAQAAAJyOYA8AAADkQOYnzwIAAODisZTcpNZ8TJ0l2AMAgBgxc89c9J35CPYAAADIHDaoio4aewAAACAHGLEHAABA5rBBVXSM2AMAAAA5wIh9IsIXBwAAAKZBjX10jNgDAAAAOUCwBwAAAHKAUhwAAABkDpNno2PEHgAAAMgBRuwBAACQOUyejY4RewAAACAHGLEHAACxCQ9Z3tlUYZitvqPGPjpG7AEAAIAcYMQeAAAAmWO9GLNP5lrZ+rRiVgT7BISSMvbpFgAAAHKGUhwAAAAgBxixBwAAQOYweTY6gj0AIFMoXQSA2RDsgQlYsg0AgPQwYh8dNfYAAABADjBiDwAAgMyxXvxL6lp5wIg9AAAAkAOM2AMAACBzrARr7PMyYk+wBwAA8WFZI3PRd8ajFAcAAADIAUbsAQAAkDlMno2OEXsAAAAgBxixBwAAQOawQVV0jNgDAAAAOcCIPQAAADKHGvvoGLEHAAAAcoARewBAtrCWNgDMhGAPAACAzFl48S+Za+VjQIFSHAAAACAHGLEHAACxoZLKXFnrO0vJTWrNx9RZRuwBAACAXGDEPgFhGCrM2ttgAACADGODqugYsQcAAABygBF7AAAAZA4bVEXHiD0AAACQAwR7AAAAIAcoxQEAAEDmMHk2OkbsAQAAgBxgxB4AAACZw+TZ6Aj2AIBMYdcPAJgNwR4AAACZQ419dAT7JIRiCAoAcDGw07q56DvjEewBAACQOYzYR8eqOAAAAEAOEOwBAACAHMhFKY7v+1peXpZt22k3BQAAALE4KsZJ6lp5YESw931f6+vrunPnjgqFwon7Pc9TvV6X67qybVvLy8snHuM4ztjnvqxcLqtQKMh1XTmOI9/3tbu7q36/r3q9Htv3AwAAAMQt08HedV0NBgM5jqNutzvxcb1eT77vq1arTXxMu90+M9j7vi/P89RoNEa3VSoVtdvt6I0HAADAzJg8G12mg32z2ZQkBUFwLGy/KggC7e/vTyzFqdVqqlQqZ16vUqmoXC6PSnsKhYIcx5mp7QAAAECSMh3sp7WysjIx1DcaDW1tbU11nqtXr6pUKsXYMgAAAMzCevEvqWvlQS5mClSr1bG3e56nQqHApFoAAADkXi6C/aTg3ul0ZhqBD4JAnufJ9/1ztuxIyGHkAQAA0jOssU/qyINcBPtxopTgDPX7fTUaDe3t7Wl1dXW0Gg8AAACQdbmosX+V7/vq9/szleBUq9XR80qlknzfV7lcVqfTOfO5T5480ZMnT0ZfHxwcRL4+AAAAMItcBvvhmvazPO9V1WpVruuq2+2euVzm9va23n333cjXBRA/yqkMRucZLTykA02Vtb5j8mx0uSzFuXv37pkhPArbtrWzs3Pm47a2tvT48ePR8ejRo9jaAAAAAJwmdyP2u7u7Y3eePY/hLrRnWVxc1OLiYqzXBgAAuIgWZGnBSmiDqjAfI/a5C/adTmemTaWKxaJKpdLYcpwgCGJoGQAAAPKk0Wio3++r2+1KOtoUNc09kXIX7Idr10cVBIFu3rw59r7BYDDxPgAAAMRvQcnVjM9ynVqtpq2trdGiK57nqVwuq16va3NzM9b2TSt3Nfa+709VivPqKLzruqpUKice53megiAYex8AAAAunlarJdd1j63AOKz8qNVqoxH8pBkR7AeDQaznKxaLunLlyrG6+UqlolqtduxxQRDIdV212+2ZyntGwpDDxAMAAKTGsqxEjyh6vd7YbFitViVpqkVX5iHTpTi1Wm20C6wkra+vj+qWms3m2OfYtq1isXjqeVdXVxUEwbGRfcdxtLW1NQr3QRBoMBio3W7HusIOAAAAzNZoNBQEwYk8atu2bNtObcQ+08F+3ETWs+zv75/5mNPeFMxyTQAAAFwcpVJp4kaoQRDMtElqHDId7AEAAHAxpTF59uDg4Njtk5Yy73Q6Y88zLPMul8uxtm9aRtTYAwAAAPN27do1LS0tjY7t7e1Iz282m7Jte1RrnzRG7AEAAJA5C1aCG1TJkkLp0aNHunz58uj2KBuPdrtdtVot3b9/fx5NnArBHgAAAJB0+fLlY8E+ivX19dQXXSHYAwCA2LBasLmy1nfWi39JXes81tfXVa/XU911ViLYJyJ8ccAwWfsNB1wQIb8xARikVqtpY2MjE5uZMnkWAAAAmWNZ0kJCx6yl/K1WS+Vy+USoH+7BlDSCPQAAABCR53lyHGds+Q0bVAEAAAAG6Ha7ajab2tjY0O7u7rH7fN9ngyoAAABgKPHlLiNYW1tTEAQnQv3QpA2s5o1gDwAA4sPCA+ai76a2v7+fdhPGItgDAIDYhIRDY2Wt76wXR1LXygMmzwIAAAA5wIh9EljIHgBwURym3QDMLGN9d7QUZVI19vlAsAcAZAsDIUbLWjkHpkffmY9gDwAAgMxZkBV5tZrzXCsP8vLJAwAAAHChMWIPIJ/4SBlIBeUc5qLvzEewBwAAQOYcTZ5N6FrJXGbuCPZJCEPeBQMAAGCuCPYAAADIHOvFv6SulQcEewAAEB8+oDYXfWc8gj0AAAAyhxr76Aj2wARMiwDSwZwkAJgNwR4AAACZs2BZWrDYoCqKvHzyAAAAAFxoBHsAAAAgByjFAQAAQOaw3GV0jNgDAAAAOcCIPYBcYl0VIB3hIa8+U2Wt71juMjqCPYBcyseHqgAATI9gDwAAgMyxZCW2DGVeauwJ9gkIQzY7ApLGSw4AcNEQ7AEA2XKYdgMAZIFlHR2JXCuZy8xdXuYKAAAAABcaI/YAACA+1J6ai74zHsEeAAAAmbOQ4OTZpK4zbwT7RIRiKh8AAADmiWAPAACAzFmwLC0kNHs2LyP2TJ4FAAAAcoARewAAEBvmX5ora11nKbllKPMxXs+IPQAAAJALjNgDkzDsBKQi5LUHQNTYz4Jgn4AwJCMCieM1BwC4YAj2APIpH4MvAABMjWAPIJ8YsQdSER7y4jNWxvpuwTo6ErlWMpeZu7x8HwAAAMCFxog9AAAAMmdBVmKTWvMyeZYRewAAACAHGLEHAADxYRk4c2Ws7yzLkpXQcpcWI/YAAAAAsoIRewBAtmRs1BBAOhaU3Ah0Xka68/J9AAAAABcaI/YAACA2fOBiLvrOfAR7AAAAZM6CZWkhocmzeVnukmCfgDDkXTAA4GIInx+m3QTMiL4znxHB3vd9ra+v686dOyoUCmMfUy6XVSgU5LquHMeR7/va3d1Vv99XvV6f+lqtVktBEMi2bfV6PZXLZZVKpbi+FQAAcu2QcGisLPZdPsbRk5PpYO+6rgaDgRzHUbfbPfWxvu/L8zw1Go3RbZVKRe12O9L1isWiNjc3R7etr69LEuEeAIApfPP7Z2k3ATP65stv0m4CzinTwb7ZbEqSgiA4FtjHqVQqKpfL8n1fy8vLKhQKchxn6mt1u115nje65lC9XlexWNT+/n70bwBAaih/A9LxnGBvrOdfZqvvqLGPLtPBPoqrV6+ea1S92WyOff7wzYHneYzaAwBwhmfBV2k3ATN69hV9Z7rcBPvz8jxPlUpl7H2O46jT6cwe7Jk9CwC4IC797mnaTcCMLn2drRF7RJe7YB8Egfb29uQ4TqRSHN/3tbKyMva+5eXlM2v8kT/hIW/GgDQwDmK2xeDrtJuAGT17kq2+oxQnutwE+36/r0ajoUKhoNXVVe3t7alWq0WaPHuawWAQy3kAAMiz1zNWp43pvf6EybOmy02wl6RqtSrbtiUdrWLj+77K5bI6nc6pzwuC4NT7bduW7/tnXv/Jkyd68uTJ6OuDg4MznwMAQJ689vXztJuAGV16mq2+s5Tccpf5GK/PUbAft1Z9tVqV67rqdrsT17+f1vANw2m2t7f17rvvnus6AACY7NKX1Nib6tJT+s50uQn2k9i2rZ2dnXMF+7NG9Ie2trb0k5/8ZPT1wcGBrl27NvN1AQAwTgY3OcKUMtZ3lhZkWQvJXCtM5jrzlvtgP9yF9jTD0fjTAvzy8vKZ11pcXNTi4uKJ28MXBwAAeWc9pU7bVNYz+s50uQj2xWJRpVJpbDnOtKPthUJB/X5/7H2+78t13fM0EUDieDttKlakMhz9Z66M9Z1lJThin9B15i0XwT4IAt28eXPsfYPBYOJ9LxtOth3H9302pwIAYBoZC4eIgL4zXi7enriuO3ZzKc/zFATB2PteHcnf2NiQ53knHtftdmXb9rkn3wIAAADzZESwP2sN+Uqlolqtduy2IAjkuq7a7faJjaqKxaKuXLlybIS+UCjo1q1barVaxx4b51r4AADknXV4yGHska0Reyvhf3mQ6VKcWq2mIAhGI+nr6+ujkphmszl6nOM42traGoX7IAg0GAzUbrfHjrSvrq4qCIITE2KbzaYajYYajYZs21av11OtVjt/GQ6zZwEAADBnmQ724ybDTmLb9tSPf/lNwas2NzenviaA7Ap5M20uOg+AJFmWlNSkVosRewAAgOMyVs6BCOg74xHsAQAAkDksdxldPr4LAAAA4IJjxD4B4Yt/AAAAmI5lWbISqn1P6jrzRrAHAGQKc2cNR522ueg741GKA0wQhhwmHwAAzJPv+yoWi+p2u2k3ZYQRewAAAGSOpQVZCY1BR7mO67oaDAZyHCdToV4i2AMAgDjxkZm56LupDPdDCoJAjUYj5dYcR7BPQJ62Kr5IcjKPBjAOrz2zhXSgubLWd5aVXJuy9r3PiGAPTGAt5ONFflHl5Hc0AABTI9gngOUuzRSyOoDR+ETZXPQdAIkNqmZBsAcAAPHhnZm56DvjEewBAACQOWmsinNwcHDs9sXFRS0uLibShjjk43MHAAAA4JyuXbumpaWl0bG9vZ12kyJhxD4J4YsDAHA2ygGMZjE/yVj0nfTo0SNdvnx59LVJo/USwR4AAAAZZFmWrISWOBte5/Lly8eCvWkoxQEAAABygBF7AAAAZA7LXUZHsAcAAPGhTttczG8xHsEeAAAA2WMtHB1JXSuiwWAwh4acD8E+AWEYKuRdMJAoXnPmYtdnsyUz1RFIT61WUxAE8jxPkrS+vq5SqSRJajabaTaNYA8AAIDssV78S+pa06rX63NsyfkQ7AEAQHwOD9NuAWZF3xkvH1OAAQAAgAuOEXsAuZTUpiYAgPk42qAqqeUu8/E3g2CfgCR3TkN8rAX6DEgDrz3DLVAMYCz6zngEewAAAGRPghtUJbas5pwR7AEAQHyYgGku+s54BHsAAABkTlaXu8wygn0CwuehwudsuGIaNskxGxtUmeuQ35dGu8TvTnPRd8Yj2APIJ/4+AYDZrIXkat+psQcAADjOYtTXWPSd+Qj2CQjDkLIAAAAAzBXBHgCQLQyEmI1RX3NlrO+S3AcoL/sNEeyBCcgWZqP7AAAXDcEeQC7lY+wFMFDGRn0RQcb6zkpwg6rENsKaM4J9EkIx/AsAU2JOEgDMhmAPIJeIhgBgNksLspTQiH1C15k3gj0AAIhPeJh2CzAr+s54BPsEhCGVOAAAAJFY1tGR1LVygGAPAMgWBg0BYCYEewAAEBt2LzUXfWc+gj0wCfVTAACkhuUuoyPYJyAMQ4W8CwYAAMAcEewBAJnCOvaGYyDLXBnrO5a7jC4f3wUAAABwwTFiDwAA4pOxUV9EkLG+syxLVkLLUCZ1nXkj2CeBheyB5PGaMxalOAAwG4I9AAAAMseSldyqOGLEHgAA4LiMlXMgAj4tMx6TZwEAAIAcYMQ+AZTYm4k6XyAlvPQASJJlHR1JXSsHCPYAcolsCKTDOjxMuwmYkUUZlfEI9gAAAMgcNqiKjmCfBGpxAAAXBaO+5qLvjGdEsPd9X+vr67pz544KhcLExzUaDfX7fXW7XUlSrVZTqVSa+jrlclmFQkGu68pxHPm+r93dXfX7fdXr9XN/HwCAs4WECwCSLGshueUuE7rOvGU62Luuq8FgIMdxRmF9klqtpq2tLdm2LUnyPE/lcln1el2bm5tTXc/3fXmep0ajMbqtUqmo3W7P/D0AAAAASch0sG82m5KkIAiOhe1XtVotua47CvWSVCqVVK/XR6P2p430D1UqFZXLZfm+r+XlZRUKBTmOc+7vAwCAC4NPXMyVsb6zLEtWQqvVJHWdect0sJ9Wr9dTtVo9cXu1WlWtVtPOzs5Uwf7q1auRSnemFR6GfLQMAACAucpFsG80GgqCYDTCP2TbtmzbPrOMB0AO8V7aXCw2AAAzyUWwL5VKx8pwXhYEwcT7JgmCQHt7e3Ich1IcAACi4BNqc2Ws75g8G10uvotOpzN21Rrf9yUdrXYzjX6/r0ajob29Pa2uro5W4wEAAACyLhcj9pM0m03Ztj22/n6SarU6GuEvlUryfV/lclmdTufM5z558kRPnjwZfX1wcCCJZewBABeHxR88Y2Wu7yzr6EjqWjmQ22Df7XbVarV0//79qZ8zbtS/Wq3KdV11u90zJ+Bub2/r3XffjdxWAPELs/YHClOj6wBgNrkoxRlnfX1d7XZ7qtVwzmLbtnZ2ds583NbWlh4/fjw6Hj16dO5rAwAAXEgLC8keOZDLEfv19XXV6/XYlq4c7kJ7lsXFRS0uLsZyTQAAjHR4mHYLMCv6zni5C/a1Wk0bGxuqVCqRnlcsFkebWr0qCILzNYoiewAAgEhCy1KYUO17UteZt3x87vBCq9VSuVw+Eeo9zzvzuUEQ6ObNm2PvGwwGE+8DAAAAsiA3I/ae58lxnLHlN91u98Ttr65v77ru2FF+z/MUBEHkTwAAALNhp27D8Qm1ueg74xkR7AeDwan3d7tdNZtNbWxsaHd399h9vu+f2KCqWCyq2+2q1+uNNqCqVCqq1WrHSnGCIJDrumq322xUdQFZOflYDgAAIy1YR0cSwnz8zc90sK/VagqCYFRKs76+Php5bzabo8etra0pCIIToX7o1TXoV1dXFQSBlpeXR7c5jqOtrS3VajVJR6F+MBjEtrIOAAAAME+ZDvbjJrKOs7+/H+m8L78peJlt21NfEwAAAHPEiH1kuZo8CwAAAFxUsY7YHxwcjOrhv/Od78R5aqOFYcgumAaixt5svOSAdIQha6GbKnN9x4h9ZOcK9h9//LHu3bsnz/PU7XZlWZaWlpYkHdWoW5Ylx3FUKBR08+ZNVatVXb58OZaGAwDyyUrqDzkA5MxMwf7999/Xzs6OVlZWdOvWLW1sbOjGjRtjH/v48WPt7e2p2+2qUqnIsizV63V997vfPU+7AQAAkGPhgqVwIZmq8fAijth/+umnqtVq+vGPf6y9vb2pnrO0tKS1tTWtra3pnXfe0ePHj7W9va1ms6kPPvhgpkYDiaAUB0gFLz0AmM3Uwf7DDz/Uw4cPde/evXNdcGlpSe+9954ePnyot99+W/V6PfflOZZlUa8NJIyXnMHoPACYyVTB/uHDh7JtWz/96U9ju/D169f1wQcf6M6dO7p9+3Zs5wXiQrYA0kGNPQBJR3+Ik/p9cJiP3ztTBfvr16/r+vXrc2nARQj11oLFHyoDWZdYDdZkfEpmLn5fms1auJR2EzAjK6TvTBepxn5jY0M7OzvzaktuhSFL75nIotOMxhKzQEp47Zkra32X5HKXORlQiBTsPc/Tf/gP/0H/7J/9s3m1J5fCw0OFhxlbGxZnCi1G7E2Wtb9PmB5vysx2ePg87SZgRvSd+SIF+/39ff3VX/2VHMdRuVzW9773vXm1K18OXxwwSkiuNxzhEEhD5jY5wtQy13eM2EcWKdhXq1X98pe/lCTdv39fP/vZz/RHf/RHbDx1BnaeNVM+XuIXFy85IB0hI1nGou/MFynYD0O9pNHa9I8fP9bOzo5832cUH/lCMgSA6PjdaS76zngz7Tz7sqWlpdHKNp9++uloFL9Sqeg73/nOeU+fC4zYAwAuisyVc2BqYcZKGI92nk3m8/OkrjNv5w72L7tx44Zu3LghSbpz5456vZ7+4i/+Qj/4wQ/ivIx5QlHuCwAAgLmKNdi/7Pbt23r8+LFu376t27dvq1qtant7e16XA2LHpyxAOtiDwGz87jRX5vrOWjg6krpWDswl2H/88cdqNpva3d1VGIYqlUpaXV2dx6WMEB6GCg8z9mIBAGAOmIBpLvrOfLEF+4ODA21vb6vVaikIAi0tLemdd96R67pz27UWACbJ2sATpseIPQBJLHc5g0jB/uDg4MSylh999JGazaY8zxuNzruuqx/+8IexNtRobD1rJgYugHTk4xPxC4vJs+ai76IbDmjbtq1er6dyuaxSqZRaeyIF+9u3b2tnZ0eff/65ms2mWq2W9vf3Zdu23nvvPVWrVS0tLc2rrQCAC4ARe7Nlrk4b08ta32V8xN51XRWLRW1ubo5uW19fl6TUwn2kYN9ut+X7vrrdrsIwVKVSkeu6Wltbm1f7ciFU9l4rAJBZBHujUadtLvpuet1uV57nqdlsHru9Xq+rWCxqf38/lXZFrrHf399ndD4qJs8CyePdtLHI9QCyrtlsjh2VdxxHkuR5Xiqj9pGCfaFQ0N7e3rzaAmQKHycD6bByMontoqJO21xZ67ssb1DleZ4qlcrY+xzHUafTyX6w39jYmFc78o3Js0DieMUZjCF7ozEoYi76bnq+72tlZWXsfcvLy+p2uwm36EikYP/OO+/Mqx25Rq43E7/ggHQwYm+4jI36IoKs9V0Kk2cPDg6O3by4uKjFxcXIpxsMBrE0K6rYFhX77LPP9P3vf19Xr17VRx99NLr9/fff18cffxzXZQAAObdwyeIw+ABMdu3aNS0tLY2O7e3tE48JguDUc9i2feZj5iWWDao+/fRTra2taWtrS67rHrvvnXfe0f379/XZZ5/pu9/9bhyXMw9D9kDyeMkZy1pgIXuThbz4jJW5vltYODqSupakR48eHduzaZbReuko3KchlmDfarX08OHD0So5L4/YS9La2po++uijixvsAQBTsxj1NVrWJmAiAvpOly9fPrEZa1RpjdZLMQX7QqFw5tKXadUaZUHIcpdmosuAVCxcYsTeZAR7c2VubpmVYI19hEn7w9H40wL88vLyORs0m1iC/dWrV499Pe5/jF6vF8eljEQlDgBMb4HJswAyrlAoqN/vj73P9/0TpelJiSXY/+Y3v1G5XNZbb70l6eR24B999FH23gUCyDeyobEuUYpjtMzVaWNq9N30SqWSfN8fe5/v+6msYS/FFOy3trZ048YNvf3221pbW5Pv+/r888/V7Xa1s7Mj3/f1ySefxHEpMzFkbyTKp4B0fOsP30i7CTgPSnHMlbG+y/IGVRsbG1pbWztxe7fblW3bKhQKcTUtkliC/dLSku7du6dbt26N1rqv1WoKw1Cu62pnZyeOywAALoA3CfZGo8beXPTd9AqFgm7duqVWq6VqtTq6vVarqd1up9auWIK9dLR97t7enh4+fKhutyvHcXTjxo3R/QcHB+eeZWyqMAwpRQKSxksOAMxmWcntRD3DdZrNphqNhhqNhmzbVq/XU61WS60MR4op2P/qV7/Sj370I0nS9evXdf369ROPWV9f169//es4LgcAZ6JWFEgHA1nmou+i29zcTLsJx8QS7JvN5ijYj/Phhx/K87w4LmWmwxcHzMIvOACILOQPnrEy13cLCS53mZPVuGIJ9vv7+/q3//bf6l/9q3914r63335bzWbzxEo5FwmlOEAKeMkBAC6YWIK9bdv6m7/5G3388cf63ve+J0n67LPPVKlUdOXKFfV6PTWbzTguBQBT4c00kA4mYJorc33HiH1ksQT7vb09SUclN5999pn+/b//93r//ff13nvvjVbJee+99+K4lJGOVrskZAAALgD+3pmLvjNebKviSNIPf/hDvf/++/rwww+1t7d3bFUcAEhUxgaeAACYt1iDvaTRCP3Kysqx299++2198MEHcV8OAABkSOYmYGJqWeu7ow2qFhK7Vh5ECvb/5t/8m6keNxgMtLa2po2NjdFtd+/evbjBPhQT+YCEUf4GALhoIgX7v/qrv5LjOFpeXpZt26c+9vr16/rNb34jSQqCQEEQzNpGAABgCN5Umytzfcfk2cgiBfvV1VXdu3dvpgvdunVrpuflwtHs2bRbgYjoMsPRgUAqMreyCqZG35kvUrA/z5KV9Xp95ucCQFTkegAwHCP2kUUK9tevX5/5Qud5runCUOJNMADgQuAPnrkYETHeVMH+4cOHun//vn70ox/FevGDgwO1Wi399Kc/jfW8ABAe8gcKAIzGiH1kUwX769evq1gs6u2331a9Xtfly5fPfeHhWvfb29vnPhcAAMiGkGXgjEXfmW/qxUFv3Lih9957T5ubm3r77bf1+eefz3TBDz/8UH/5l38py7IuTqgfTp7lMOuA2dL+/4eD1x4AJCxSjf3S0pJ++ctf6tNPP9Xm5qY+/fRTlUolFYvFsctgBkEg3/f1ySef6MGDB9rf39fGxoZ+/etfx/19AACADGBlFXNlre+ONqhKpkTmQm5QNXTjxg3dvXtXknT//n11Oh3du3dPvu8rCAINBoNRyHccR+VyWdVq9UJPoAWQLAZ+AQAXzUzB/mVra2taW1uLoy35xcfLQOKsfAy+AMbJ2qgvphcqY31nLUgLU1eNn/9aOXDuYA8AWcR7aSAdvPTMRd+Zj2CfAAbsgRTwogMAs1lWch+/5uRjXoI9MEFOXuMXFx0IpOKQN9XGou/MR7AHJuD3m+HoQAAwGxtURWZEsPd9X+vr67pz544KhcLEx7VaLQVBINu21ev1VC6XVSqVIl0rjnOcQC2OkRjwBYDoGPU1F31nvkwHe9d1NRgM5DiOut3umY8tFova3Nwc3ba+vi5JUwfzOM6B/OD3m9nCQzoQAHCxZDrYN5tNSUcbXTUajYmP63a78jxv9Piher2uYrGo/f39M68VxzmQL4zYA0B0vKVGXNigKrpcLNrZbDbHjqg7jiNJ8jwvkXMAAAAAaYkl2P/lX/5lHKeZmed5sm177H2O46jT6SRyjkmGJfYcZh0wW9r//3Dw2gNwTsPJs0kdORBLKU6n09HW1pa2t7fjOF1kvu9rZWVl7H3Ly8tn1ufHdQ4AAC46JmCai74zXyzB3nEclUol3blzR5ZlqVQq6Tvf+U4cp47FYDDIxDkAJIg/UABgNpa7jCyWYP/gwQMtLS1pbW1NknT//n21222trKzoBz/4QRyXmCgIglPvt21bvu/P/RyS9OTJEz158mT09cHBwZnPQYYxexYAIjtMuwGYGX1nvliC/dLS0rGv19bWtLa2psePH+tXv/qVgiBQpVJJbRR/Uu183OfY3t7Wu+++e/KOw/DoAJCYkBF7ADBaaFkKExpkS+o68zbX5S4fPnyoe/fuaXd3V81mU67rynGcuY/iv+ys0fg4z7G1taWf/OQno68PDg507dq1c18fAABT8KbaXPSd+WJZFefzzz8f/ffBwYF+9atf6c/+7M9ULBYlHU2u/eu//mv99Kc/1dramu7cuaOPP/44jkuPRtJPC9/Ly8tzP4ckLS4u6vLly8cOAAAAIAmxBPv19XV9/PHHunXrlq5cuaJ6vT7aNfbu3buj2nvpqGzn9u3bKhaL+tWvfhXH5VUoFNTv98fe5/u+yuVyIucAkCGHHMYeACCNNqhK6siD2CbPlstl/fCHP9S9e/eOBflJlpaWdOXKlTgur1KpNHFyq+/7Yzeemsc5JmJxZiNZOXmRA0CSDtl71lj0nfliW+5yuDLONB4+fKif/exn2tjYiOPy2tjYGPtmotvtyrZtFQqFE/cFQXBsQuws5wCQXdSKAoDhLCu5FepyMnk2llIc13WnDvVDYRjKcZypHnvWGvKFQkG3bt1Sq9U6dnutVlO73T7x+GKxqCtXrhwboY96DgAAcNJwITgOMw+YLZYR+yglNZ9//rmuXr2qu3fvnvnYWq2mIAjkeZ6ko1r+YUlMs9k89thms6lGo6FGoyHbttXr9VSr1caW0KyurioIghMTYqOcAwAAAPMTLhwdSV0rD84d7D/88MOpH/v9739fe3t7WllZUalU0vb29qmPr9frkdqyubk51eNefVMwyzlwAeTjU7kLi1IcAMBFc+5g7zjOaMR+uNPquGUe33//fUn/razm/fff18cff6zvfe97521C5jF3FgBwURzyB89YWes7NqiK7twfPNy4cUO7u7va2NiQbdu6cuWKbt68qf/4H//jscfdvXtXjUZj9PU777yjTqdz3ssDc2NZFofBh0JxmHoAAGYSS439b37zG928eVM/+9nPJEmffPKJKpWKPvnkk9Fjut3uicmy006eBQAAZuC9mbnoO/OdO9g/fvxY5XJZt2/fHt1248YN3bx580SpzaslOlZOPvZAPvH/p9lC/kQBgNksS0pqT5mc/M0/d7D3fV83b948cfvKygqlNjAaky/NFrJuGwDggjl3sL9x44Y2Nja0s7Nz7Pbt7W25rivpaFR/XEgKguC8lzcDs2eNxIg9AESXtQmYmF7m+s6SwqT+FOfkT34sNfbr6+taXl4ejdzv7e2N1oq/f/++6vW6KpWKPvroI/3gBz+QJH322WeRN7UCgKll7Q8UAABzFkuwr1QqchxntGvr5uam1tbW9PDhQ/V6PdXrdd24cUM/+9nP1Ol0ZNu2ut2ufv3rX8dxeWA+crJZBQAAJgoXLIUJ1dgndZ15iyXYS1KhUNAvf/nLY7ddv35d169fH3393nvv6c6dO5I0WkEHAADkxyET141F35kvlmD/4YcfyvM8ffDBB2c+9uXVc4AssxYYsjcZlTgAYLbQSm7jqMRq+ecslmC/s7Oj5eXlOE4FZAfJEAAAGCSWYP/qOvbjvLqmPZB1Vk7q7QAgSYyJmIu+M18swX51dfXYijfjtNvtixvs2SYdSBzr2AOA4SwruY2jcrLEdSzB/sGDB+r1eqrVaiqVSrJtW1evXh3d3+/3dffu3alq8IGsYMQeAKJjAqa52LHbfLEE+83NTTmOo+vXr6vf76vf76vX643uD4Lg4mxGBSAb+EwZAIwWLhwdSV0rD2Irxbl3796pj/nxj38cx6UAAAAAjBFLsG82m2c+plarxXEpIDGU4gBAdExvMVfW+i60rASXu8zH3/xYgv3Lm1Cd5zEAEBcqcQAAF01sO89+9tln2tzc1IMHD3Tnzp3RCjnvv/++isXixV0RB8ayLuWk4A4AABMtWEdHUtfKgViSy6effqrvfe97KpfLarVax+575513FIahPvvsszguBQAAMizkn9H/YLZYRuxbrZYePnyopaUlSdJHH3107P61tTV99NFH+u53vxvH5YwThqFC6gKAZPGaAwBcMLEE+0KhMAr1kwwGgzguBSRmgVIcAABSE1pHR1LXyoNYgv3Lm1FJGjs6/fK69oAJ+JQFAKI75Henseg788US7H/zm9+oXC7rrbfekiRZrywZ9NFHHxGSACQqzNq6bQCASMIFS2FCk1qTus68xRLst7a2dOPGDb399ttaW1uT7/v6/PPP1e12tbOzI9/39cknn8RxKSAxC69TigMAAMwRS3JZWlrSvXv39O/+3b9ToVDQ5uamVlZWVKlUtLy8TKgHAABANJaV7JEDsa1j7ziO9vb29PDhQ3W7XTmOoxs3bsR1egCIhOo/IB1UwZmLvjNfbMF+6Pr162N3mf3888/1ne98J+7LAXOzsEApDgAAMEfswX6Ser2uDz74IKnLAbjoGLIHAKMxeTa62IL9r371K3U6HQVBMPZ+z/MI9jDKpUv5eJEDQJLYvdRc9F16fN/X+vq67ty5o0KhMPN5Ygn2P/vZz7S7u6tSqTS2DCcIAtm2HcelAAAAcAGESnCDqmQuc4LruhoMBnIcR91u99zni23E/m/+5m/iOhUAnFv4nJEnAEC2NZtNSUeD4I1G49zniyXYr6ysnPmYer0ex6WAxLyxmNgUFADIDVZWMVfm+m7BOjqSulYOJJZcXt2NFgDmid2uAQAXTSzr+ZVKJX300UenPqZWq8VxKQAAAFwAoWUleuRBLCP2rVZLQRCoVqupUChoeXn5xGPu3r17cVfFOXxxwChvXflW2k0AAACYWizBvtlsanV1VTdu3FAYhur3+8fun7QEJgDMC6U4QDoOWTLRWPSddHBwcOzrxcVFLS4uptSa6GIJ9qurq7p3796pj/nxj38cx6UAAABwAaSxQdW1a9eO3f7zn/9cv/jFLxJpQxxiG7E/y4WusV9QTLMZAAAAMC+PHj3S5cuXR1+bNFovxRQ3X92U6vPPPz/zMQAwVyGHsQcA6GhzqiQPSbp8+fKxY1KwX1lZkWVZkY4rV67I9/25/swijdgfHBxoMBjI9331ej09fvxY1Wr12DsbSer1emq32+r3+/r000/lOI6KxaJ+9KMfxdp4AACQLYfMbzFW5taxz7Ber5d2E8aKFOxt29aVK1e0tbWl27dva2lpaezj1tbWtLa2Julo4myxWFSr1SLYAwAAYDpsUBVZ5Br7drut733ve1M/3rZtdTod/dmf/VnUSwHA7Bg1BABcMJGCfaFQiBTqhxzHUaFQiPw8AABgFt5SmytrfZfkxlFpb1A1GAxiOU+kYO84zrGvHz58qN3dXfV6Pe3v748ec/PmTf3gBz849bkAAADARVar1RQEgTzPkyStr6+rVCpJmm7VyVdFCvav7ih7/fp1vfPOOwqCQI7j6F//63+tn/70p1M9FwDmKWS3ZwBAxtXr9VjPFynYWxM+prBtW6VSSdVqNfJzAQAAgFeFC0dHUtfKg0jB/rQt2peXl08sezntcwEAQD6w3KW56DvzxTJif9Z909wPALHiDxQAmM2yjo6krpUDkYL9zs6O9vf3deXKlRP3eZ6nt99+e+zzBoOBPM/TBx98MFsrDTfccQwAAACYl0jBPggC3b17V7Ztj71/Z2dn4vMItgAA5B+7l5orax90hguWwoQ2jkrqOvMWKdiXSiXdu3dvpgt9//vfn+l5ADCTrP2FAgBgziJvUDWrcrk883MBAABwsVykDariEinYv/feezNf6J133pn5uQAQFQP2AICLJlKwzzLf97W8vDyx/h8AAMxfKN5Vm4q+M19ugr3nearX63JdV7Ztj93p1nGcM8uJyuWyCoWCXNeV4zjyfV+7u7vq9/ux7w4GYI4YsgcAs1kvjqSulQO5Cfa9Xk++76tWq018TLvdPjPY+74vz/PUaDRGt1UqFbXb7djaCgAAAMQtN8E+CALt7+9PLMWp1WqqVCpnnqdSqahcLo9KewqFghzHibm1AOaNAXsAMFtoJbjc5UWcPJtlKysrE0N9o9HQ1tbWVOe5evWqSqVSjC0DAODiOORdtbHoO/PlJthXq9Wxt3uep0KhkO6k2iRrxAAAAHKA5S6jy02wnxTcO53OTJNegyDQ3t6eHMehFAcwEdtfAgAumNwE+3GilOAM9ft9NRoNFQoFra6uam9vT7VajcmzgGFCgr2xer95lHYTAGTBwosjqWvlQG6Dve/76vf7M5XgVKvV0fNKpZJ831e5XFan0zn1eU+ePNGTJ09GXx8cHES+NoCYUCtqrK/6X6XdBJzDYdoNwMzoO/PlNtgP17Sf5Xmvqlarcl1X3W731OUyt7e39e6770a+JoA5INcb6/mXT9NuAgAYKbfB/u7du2o2m7Gdz7Zt7ezsnBrst7a29JOf/GT09cHBga5duxZbGwBML2TE3ljhU8YNAUiWZclKaFJrUteZt1wG+93d3bE7z57HcBfa0ywuLmpxcTHW6wKYEdnQWOGz52k3AQCMlMtg3+l0ZlrJplgsqlQqjS3HCYIghpYBSAwj9sYKn9N3JuPTMnNlru8sSUmNpOdjwD6fwX64dn1UQRDo5s2bY+8bDAYT7zuTZSX3PyYASRn8A4Wphd/wcQsAzCKXwd73/al2jw2C4NiqOa7rqlKpnHic53kKgmDsfQCAeLFUKQBJyW7wmZPx11wG+2kUi0V1u131er1R2U6lUlGtVjtWihMEgVzXVbvdZqMqwCRkQ2MxYg8As8llsLdtW8Vi8dTHrK6uKgiCY5NsHcfR1taWarWapKNQPxgM1G63ZyrtAZAiSnGMtfCcYG8yes9cWes7VsWJLpfBfn9//8zHTFoK07btsZNncfH89lGQdhNwDuR6c1mU4gDATHIZ7LOGubNm+vY1O+0m4Bz+lnBoLII9AMyGYA8AyBSL5S4BSNLCiyOpa+UAwR5APlGLYyyLvjPaIf1nrENWHTAewR4AkCmM2AOQlGwtc05qpgn2AHKJQUNzUWMPALMh2CeB2bMAMDVKcQBILHc5C4I9ACBbGLE3WkidtrHoO/MR7AHkE6O+xrLoOgCSZL04krpWDhDsAQCZYrHzLADMhGAPIJ8Y9TXWAqviAMBMCPYAgExZeMaIvclYC91cmes7lruMjGAPAMiUS8+ep90EADASwT4JC9bRASAxIZNnjXXp62/SbgKADGDAPjqCPQAgUxa+epZ2EwDASAR7APnEiL2xrGeM2JuMtdDNlbm+Y8g+MoI9ACBbvmHyLADMgmAPAMgWdp4FICU7RzEncyEJ9gDyiUFfY1mHdB4AzIJgn4AkS8QAAEhT5tZCx9ToO/MR7AHkEstdGoxSHACSLCU4dzaZy8zdQtoNAAAAAHB+jNgDALKFEXsAEstdzoBgDyCfyIYAgAuGYJ8EZs8a6e/+9iDtJgAXE/MjjBayJJXBMtZ3lpIrfs9JTCPYAxN82f8y7SbgPAiHAIALhmAPTPD86fO0mwAAwIVlWZashCoekrrOvBHsExAehgqZDAYkiuUuzWXx+xIAZkKwTwAl9mZixB4AomOTI3PRd+Yj2AOTMOJrtozNAUMEjNgDkFjucgYE+wSEIRkRAAAA80WwByZ4/owhX5NZvJs21yGvPQCSFl4cSV0rB3LybQAAAAAXGyP2STgMqRkFEsbKKkA6mIBprqz1HctdRkewTwDLXZrpm98/TbsJwMXE70sAmAnBPgmM2JuJGm0AANJjvTiSulYOEOwTcPj0uQ5fY0100ywsXkq7CTgP3pcZizIqAJgNwR6YIHxOuDAZq+IA6Qh5V20s+s58BHtgEoIhkA5G7AFIbFA1A4J9EtihykhMeDYb5RwAgIuGYA9MQLAHUsJrD4AYsJ8FwR6YhM0vAQCAQQj2wAQh29qbjfI3IBVZ2+QI08tc3zFkHxnBPgGhyBhGekawB1IR8toDcHE0Gg31+311u11JUq1WU6lUmulcBHtggudfPUu7CTiH18iGAGC2BevoSOpaKajVatra2pJt25Ikz/NULpdVr9e1ubkZ+XwEe2CC1x4/SbsJOAfWsTcXKxoBuAharZZc1x2FekkqlUqq1+ujUftCoRDpnAT7JByGrPJgoIVvGPI1WXgpH/WSgGnY5Mhc9F2yer2eqtXqidur1apqtZp2dnYI9pnEOvZGYtTQbCG53ly89gAo/3NnG42GgiBQs9k8drtt27Jte1RzH8VCXI0DAAAAMJ1SqXSsDOdlQRBMvO80jNgDE1CjbTaLIXtzMWIPQEplyP7g4ODYzYuLi1pcXJzLJTudztjbfd+XJJXL5cjnJNgngEocIHmUUgEAorp27dqxr3/+85/rF7/4RaJtaDabsm17bP39WQj2wCQEQ7MxedZcvPaMlrlNjjC1rPVdGjX2jx490uXLl0e3z2u0fpJut6tWq6X79+/P9HyCfRIYsgcSRymVuSx2fQaQksuXLx8L9klbX19Xu92OvBrOEMEemMAiFxqN7gMAzMvKysqoFn5atm3rwYMHchxn7P3r6+uq1+sz7zorEewBAFlDKQ4AKdPrXfZ6vVgvX6vVtLGxoUqlcq7zEOyTEIrhQyBphENz0XcALpBWq6VyuXxipN7zvMij9wR7YAJWVTEbO88ajNee0di91FyZ67kMj9jHxfM8OY4zNsB3u12CfblcVqFQkOu6chxHvu9rd3dX/X5f9Xp96vO0Wq3R5gC9Xm/sO6lphWGokIl8QKKYI2EuJj4DuAi63a6azaY2Nja0u7t77D7f99mgSjr6QXiep0ajMbqtUqmo3W5PfQ7XdVUsFrW5uTm6bX19XZLONaEBhiFcGI4Re2M9f552CwBkgGVJ1kJy10ra2tqagiA4EeqHJm1gdZrcBftKpaJyuSzf97W8vKxCoTBx9vE43W5Xnuep2Wweu71er6tYLGp/fz/uJgOYA0qpzHV4SLAHkH/zyJS5C/ZXr14916h6s9kc+/zhm4NZJjKwjr2ZCIZmo8beXE+ffpF2EwBkwQWosY9b7oL9eXmeN3GpIcdx1Ol0KMcBgDn6/Vf/Ne0mAICRchvsgyDQ3t6eHMeJVIrj+75WVlbG3re8vKxutxu9MYcvDhiFyZdmY8K6uf7u94O0m4BzsJjfYix6zny5C/b9fl+NRkOFQkGrq6va29tTrVaLNHn2NINB9D84rIoDANP77ddfpd0EnMPrupR2EzCj51lb8NJScu82cvKuJnfBXpKq1epoiaBSqSTf91Uul8+cXRwEwan327Z96vbBT5480ZMnT0ZfHxwcTN1mZBA19kbLSbnkhTR49uTsByGz3tQbaTcBMwqV0BI0mJvcBftxa9VXq1W5rqtut6tCoXCu85+2puj29rbefffdk3ew8ywATO0rEexN9u3X3kq7CZjRG+ElKUOLUh3NnU1mlCYvg0G5C/aT2LatnZ2dcwX7s0b0t7a29JOf/GT09cHBga5duzbz9ZAuNskxXJiT39IX0FN9k3YTcA7/8M1vpd0EzOj34TPp92m3AudxYYL9cBfa0wxH408L8MvLyxPvW1xc1OLi4sk7QrHcJQBM6XmWhgwR2R9f/nbaTcCMfnf4NFPB3rKsBEfs8zEYlKtgXywWVSqVxpbjnDXaPlQoFNTv98fe5/u+XNc9TxNhEIuVjIwWMn8PSMXSP/zztJuAGS08/1r6bdqtwHnkKtgHQaCbN2+OvW8wGEy872XDybbj+L7PGvaAKZj8bKxDJiUZ7ff/w5+l3QTM6PdPv5Q+S7sVL1l4cSR1rRzIVbB3XXfs5lKe5ykIgrH3BUFwbELsxsaG1tbWTjyu2+3Ktu2ZavRZ7tJQ9Jnh8vGxKmCax9+lFMdUv/vqd2k3AeeUq2BfqVRUq9WOleIEQSDXddVut09sVFUsFtXtdtXr9Ub3FQoF3bp1S61WS9VqdfTYONfCBzB/TH4G0lH8X4tpNwEzOjg4kP63tFuB88hVsHccR1tbW6rVapKOQv1gMFC73R470r66uqogCE5MiG02m2o0Gmo0GrJtW71eT7VabfYyHHaeNRLB0GwhI/YAYDQmz0aXq2AvHa1sM27y7DjNZnPifZubm3E1CUAKmPwMALhochfss8gKQ0Z/DWQx+dJoYU4mQgHAhXW0Q1Vy18oBgn0CrDAkJAJJ4820sUJWxQGAmRDsAQAAkDkM2EdHsE9C+OKAUSz6DAAAGIRgDyCXmNcCAGazFixZCwmtipPQdeaNYA9MwrwIs13Kxy9pAACmRbBPAKviAMljwrq5DqldBICZEOyBCXgzZjY2qAIAwzF7NjKCfQKsQ5a7BJLG5GcAwEVDsAcmYOdSs4WX0m4BAOA8GLCPjmCfhDBksxwAAADMFcEemIQ3Y2aj/M1Y7DwLQBJD9jMg2CfAOqSsAwAAAPNFsE8Ay12aiQnPZuM1BwCGS3CDKuVkg6qFtBsAAAAA4PwYsU/CYUi9r4EY8TUb5W8AgIuGYA8AAIDMsZTg3NlkLjN3BPsEWCGb5RiJT1nMxicuxjpkVRwAmAnBHgAAANnDcpeREewTYB2GrLBiIvrMaLzmAAAXDcEeAAAAmWMluNxlYstqzhnBPgGsY28mRnwNx2sOAHDBEOwB5BNvzADAbJaSW64mHwP2BPtEsI69megzo1nfsJC9qVgVBwBmQ7AHkE/Pvkm7BQAAJIpgnwBLrGNvJGq0jbbw+Ku0mwAAOAfLsmQltAxlUteZN4I9gFy69HdfpN0EAAASRbBPAOvYG+qQGm2TWY9/l3YTAADnwIh9dAR7ALn0zTdfp90EAAASRbBPQhhSrw0k7DB8nnYTAADnsfDiSOpaOUCwByagfMpshyGlVACAi4VgDyCf+JQMAIxGjX10BPsEMHnWUPQZkIpQfNoCALPISUURAAAAcLExYp8AK2SDKiMxYm80Rn0BwHCWdXQkda0cYMQeAAAAyAFG7JNwGDL6ayL6DACA1DBgHx3BHpjAYudZo4UsdwkAuGAI9gmwwlAWS++Z5xuCIQAAabEWLFkLCS13mdB15o1gD0xgffU07SYAAABMjWCfAOvw6IBZFh5/lXYTcA4LFr/eAMBoFNlHxl8+YILDx0HaTcA5vPb6t9JuAgAAiSLYJyEM2d7eQN88Y8TeZIuX/37aTQAAIFEEe2CC54fP0m4CzuHwyh+m3QQAwDlQiRMdwR6YhOUSjRa+cSntJgAAkCiCfQKsUCx3CQBTOhS/LwGIIfsZEOwTYB2GstjF1Dgh4QIAABiEYA8gn3gzDQBGs6wEN6hixB5TC4/KcWCWkBp7AABgEII9gFyi/A0AzEaJfXQE+ySEIWUBAAAAmCuCPTABpTgAAMAkBHsA+cSnZABgNksJ1uIkc5l5I9gnwApD1rEHAADAMUEQaHt7e/S17/u6efOmNjc3ZzofwR4AAACZY1lWYstQprHc5TDU1+v1Y7cXi0V1Oh11Op3I58xlsG80Gur3++p2u5KkWq2mUqk09fPL5bIKhYJc15XjOPJ9X7u7u+r3+yd++ACAeC3k5TNxADhFq9UaZdWXua4r13XV7XZVKBQinTN3wb5Wq2lra0u2bUuSPM9TuVxWvV6f+mMN3/fleZ4ajcbotkqlona7PY8mI6PYeRYAgBQtvDiSulbCbNvW3t6egiAY5VZJWl5eliQNBoPI58xVsG+1WnJd99gPp1QqqV6vj0btp3nnU6lUVC6X5fu+lpeXVSgU5DjOzO2ynoeynhMSjcOqOGZ7/jztFmBGh7ypBnABVKtVVavVE7d/8sknkhSp2mQoV8G+1+uN/QFVq1XVajXt7OxMFeyvXr060w8TAAAA8ch7jf0krVZLzWZzpufmKtg3Gg0FQXDih2HbtmzbHlvHlATrMGQXTAOxjr3ZeM0BAEzi+75qtZrq9frYgepp5CrYl0qlY2U4L3u1fmkaQRBob29PjuOcqxQHAAAA2XdwcHDs68XFRS0uLs71mi8v0nLz5s1zZc5cBftJywL5vi/paLWbafT7fTUaDRUKBa2urmpvb0+1Wm3mybOsYw8AABCRpeQ2jnpxnWvXrh27+ec//7l+8YtfzPXSjuMcW+ClXC6r3W7PVI6Tq2A/SbPZlG3bkT7WqFaroxH+Uqkk3/dVLpdPXVP0yZMnevLkyejrV9/1AQAAILsePXqky5cvj76e92j9OPV6XcViUeVyWZVKJdJzU1jcJ1ndbletVkv379+f+jn1ev1E2U61WpXneafW6W9vb2tpaWl0vPquD2YJw5DD4EOHHMYeACDJSvifJF2+fPnYMSnYr6ysjCb3TntcuXJlVEVymuFCL7OM2Oc+2K+vr6vdbkde4H8c27a1s7Mz8f6trS09fvx4dDx69OjojrT/SHIQLgAAQGx6vV7kAaf9/f1j9fMrKyvH9kx6meM42tvbi9yuXJfirK+vq16vx7Z05XAX2kmSmGABYEoL2Vm6DNGw8ywASanU2CfF9/1TM6Xv+6xj/7JaraaNjY3ItUnFYnG0qdWrgiCYrTGMABspS2vaAgCA/HAcR9Vq9dik2aFh2ff6+nrk8+Yy2LdaLZXL5RPvdDzPO/PdTxAEunnz5tj7BoPBxPtOYz17LstiF0wAmIaV/ypRAFPI8YC9JMl13dG69S+7ffu2KpXKTGvZ5y7Ye54nx3HGBvhut3vi9lfXt3ddd+wov+d5CoIg8icAkrTw+ydaeMofKtNYFn1mND4lAwBkWKFQkOM4qtVqo9t835frumxQJR0F92azqY2NDe3u7h67z/f9EyvdFItFdbtd9Xq90WSGSqVy4t1TEARyXVftdnumTQMu/ZfHuvTa0+jfEFLFzrNms3735OwHIZNC8doDcDHYtj22/HtWuQr2a2trCoLgRKgfenUN+tXVVQVBoOXl5dFtjuNoa2tr9O4pCAINBoNzraxz2B/o8NKbMz0X6bl0iYnQJjt88lXaTQAAnIdlHR1JXSsHchXs9/f3Iz1+0vqgcb97+v2X/0XWwhuxnQ/JeP21P0i7CTiHL7/6u7SbgBl9rWdpNwEAjJSrYJ9V3zz/Wt9Q1mGc11//e2k3Aefw9df9tJuAGX2jb9JuAoAMYMA+OoJ9AkY7YQJIzJNnX6bdBAAAEkWwT0AYHjIR00T0mdEOnlHOAQC4WAj2wASh+JTFZP/1yddpNwEAgEQR7BNgWQusiW4gPmUx298++yLtJmBGr/GnCQBmwm/PBCwsvKaFBX7UQJIGItib6g/F8sAAmDw7C9JmAl5/7Q/0OstdGocRe7P9Tqxjb6oV/XHaTQAAIxHsE/Da69/S6wtsdmSap89+n3YTcA7P9TztJmBG3/nWW2k3AUAmWC+OpK5lPoJ9Al5/7Q/0OjvPGufpU0o5THbI5Gdj/eOr19NuAgAYiWCfgEsLr+vSwutpNwMAjPDm//Q/pt0EABlAjX10BPsEfON8W9+8/q20m4GIlj7nzZjJnv9n5kiYqv8//+O0m4Bz+NO0GwBcYAT7JCT5lhOxCS+xRCmQhhv/8rtpNwEAjESwT0IYHh0wyyF9BgAAzEGwT4B1GMoiJBrH4s0YAAAwCME+CWHI6K+Bwm+epd0EAAAuLsuSxezZSAj2wATPnz9NuwkAAABTI9gn4fDw6IBRnrCOPQAA6WF/qsgI9kk4pBTHRAdf/L9pNwHnsJCX39IAAEyJYA9M8H9/cZB2E3AOFsEeAIzGgH10BPsEWN8cyhKlOKbxn/1/aTcB5/A6v94AABcMf/mSQCmOkQaixt5kS/rDtJsAADiPJDf4ZFUcTC08PDpglK/0JO0m4Bz+yQIb2wMALhaCPTDBofiUxWSFK1fTbgIAAIki2CeAnWeB5P39f/Iv0m4CAOAcmDwbHcE+CdTYA4n72//lu2k3ATP6R2k3AAAMRbBPAsEeSNzNt//7tJsAADgPhuwjI9gnISTYAwAAYL4I9gmwDkNZFqviAAAATMuyLFkJLUOZ1HXmbSHtBgAAAAA4P0bsk3AYShalOAAAAJgfgn0SCPYAAACYM4J9Egj2AAAAmDOCfQKsMJQVEuxNs5CXta8AADCQJSmpOa15+YtPsE/C4aHEqjgAAACYI4I9AAAAMogdqqIi2CchDI8OAAAAYE4I9gAAAMgcy0qwxj4fA/YE+ySE4aHCkBp701g5+VgOAABcDAR7AAAAZA8l9pER7BMQhqFCauwBAAAwRwT7BFCKYybWsQcAACYh2AMAACBzqMSJjmCfgFCHCsWIvWksLaTdBAAAgKkR7JPAOvZGohQHAIAUsd5lZAT7BIQKqbEHAADAXBHsE/D88JmeU9ZhHNaxBwAgPdTYR0ewT8CXX/5XLSy8kXYzEBGlOAAAwCQE+wQ8+uLv9AfW62k3AxG9wcsDAID0MGQfGcklAf/PV/t6kx+1cS7pUtpNAAAAmBppMwGP9Xt9TUg0zj/QlbSbAAAAMDWCfQKe6RstiOUuTfPfvbWcdhMAALiwLMuSldAylEldZ94I9gm49OIfzPKPv/PP024CAADA1Aj2CTh8sfcszPJ3twppNwHn8A/TbgAAAAkj2CfgdV3S64zYG+ef/u//Iu0mAAAATI1gn4A39Qar4gAAAERgWUdHUtfKA9JmAt7SH+hb/KgBAAAwR6TNBIQv/gEAAGBa7FAVFcE+Adfe/EN2ngUAAMBcEewTcH3p2/p7C2+k3QwAAADkGME+AfY/+HO9denNtJsBAABgDCbPRkewn6MwPKqr7//5VT154w9Sbg2i+sODg7SbAABAYg5e/N0b5pe0HXyR3N/hJK81T1aYld7Lof/0n/6Trl27lnYzAAAApvbo0SP9yZ/8SWrX//rrr3X9+nX99re/TfS63/72t/Xw4UO9+aa5VRYE+zk6PDzU3/7t3+qtt96SlZfPeF44ODjQtWvX9OjRI12+fDnt5iAi+s9s9J+56Duz5b3/wjDUF198oT/+4z/WwsJCqm35+uuv9fTp00Sv+cYbbxgd6iVKceZqYWEh1Xe8Sbh8+XIuf7ldFPSf2eg/c9F3Zstz/y0tLaXdBEnSm2++aXzITkO6b8cAAAAAxIJgDwAAAOQAwR4zWVxc1M9//nMtLi6m3RTMgP4zG/1nLvrObPQfso7JswAAAEAOMGIPAAAA5ADBHgAAAMgBgj0AAACQA6xjj8harZaCIJBt2+r1eiqXyyqVSmk3C1PwfV/r6+u6c+eOCoVC2s1BRI1GQ/1+X91uV5JUq9V47RkiCAJtb2+PvvZ9Xzdv3tTm5maKrcKs1tfX1W63024GcALBHpG4rqtisXjsj9H6+rokETAyzHVdDQYDOY4zCoUwS61W09bWlmzbliR5nqdyuax6vU44zLhhqK/X68duLxaL6nQ66nQ6KbUMs2g0GvweRWaxKg6m1u12tb6+rl6vd+x23/dVLBa1v7+fUsswrSAIdOXKFT148IARe4O0Wi2VSiU5jnPs9kajoVqtRn9mXKPRGBvgW62WXNel/wzi+75c15Xv+yf+FgJZQI09ptZsNseOyg/Dhud5STcJuBB6vd6JUC9J1WpVkrSzs5N0kxCBbdva29tTEATHbl9eXpYkDQaDFFqFWezu7o4+pQayiGCPqXmeNyoDeJXjOHycDMxJo9GQ67onbrdtW7ZtUxaQcdVqVfv7+yd+f37yySeSKGM0hed5qlQqaTcDOBXBHlPzfV8rKytj71teXiZcAHNSKpUmvqkeTmSHeVqtlprNZtrNwJR83x/7yRmQJUyeRWz4OBmYj0mfhvm+L0kql8tJNgfn5Pu+arWa6vX6qJwK2dZqtegrGIFgj6m8Whv6Ktu2RyEDQDKazaZs2yZwGML3fe3u7qrf7+vmzZuM/hqCkXqYhGCP2FAOACSn2+2q1Wrp/v37aTcFU3Ic59jSpOVyWe12m3KcjNvd3WVJWRiDGnvE4qwRfQDxGm6QwzKJ5qrX62q1Wtrd3U27KZhgd3eXT8RgFII9pjIcjT8twA+XbgMwX+vr66rX66ymYrjhmzJG7LMpCAINBgM+jYZRKMXB1AqFgvr9/tj7hpt2AJivWq2mjY0Nlt0zyMrKilzXHVvO4TiO9vb2UmgVztJqtdTr9U78bdvb2zv2N69Wq1GDj8wg2GNqpVJp4gRZ3/cZPQTmrNVqqVwun3iteZ7H6y+jfN8/dWEBfndm16S6+kajoSAI+KQFmUQpDqa2sbExdnfZbrcr27ap9QXmyPM8OY4zNgSyh0R2OY6jarU6NiQO+42dTAHEhRF7TK1QKOjWrVsn1vOt1Wpqt9sptgzTYq8BM3W7XTWbTW1sbJyYaOn7PjXAGee67mjd+pfdvn1blUqFyZmG6fV6/C5FZllhGIZpNwJmaTQako4m1PZ6vbGlAciWWq2mIAjked5oTeZhn/FxcvZduXLl1InrnU6H12DGBUGg7e3t0de+76tcLhPqDbK7u6tOp6O7d+8qCAJVKhUtLy/zOxSZQrAHAAAAcoAaewAAACAHCPYAAABADhDsAQAAgBwg2AMAAAA5QLAHAAAAcoBgDwAAAOQAwR4AAADIAYI9AAAAkAMEewAAACAHCPYAAABADhDsAWBK3W5XruuqXC5rfX1druvKdV35vi9JCoJArVZLkuT7vsrlsq5cuaJarZZms+fmInyPAGCS19JuAACYoNFoqNlsqtlsqlQqHbuv1WrJcRx1Op3RbcOvi8Vi0k1NzPB7LJfLCoIg7eYAwIXHiD0AnKFcLqvT6ajX650I9ZJUrVbl+74ajcaJ+xzHSaKJqbJtO+0mAABEsAeAU7VaLe3t7R0bjR+nWq2qUCgk1KpsWV5eTrsJAAAR7AFgIt/35bqutra2pnq867pzbhEAAJMR7AFggmazKUmqVCpTPf7WrVvzbA4AAKdi8iwATOB5nqTp6+Rt21a9Xh97n+/7o/P1ej1JGvvYlx8XBIH6/b62traO1bEPP0nY29tTtVqV67qnnjvq44eCIND29rZu3rypwWCgBw8eyHXdC1tyBABZR7AHgAl8349lYqjv++p2u6pWq6PbVlZWtLKycuy2IAjked6x23Z3d1UsFkcBXDq5Gs1Z5476+GGby+WyHjx4MPoZBEGg69ev6/79+4R7AMggSnEAYM663e6Jcp5SqXRiQq7nearVaseWjqxUKhoMBtrd3T1xXtu25XneVOeO+vjhOv0vv7GxbVtbW1usWQ8AGUWwB4AJHMeJZX32caPbtm2fOHehUNCtW7dOfEqwvLyswWBwrnNHefzwE4ZxS3s6jqO9vb2x5wYApItSHACYoFQqqdvtyvf9qevsd3d3T4yIT7scpOM4owm70lHA9n1/YqiPcu4oj+92u5KOPkEY7qr7sjt37kS6JgAgGQR7AJjAdV01Gg3t7u5qc3PzzMfHUZPveZ7a7bZWVlZUKpW0urqa+DrxwzcxlUrlQmywBQB5QbAHgAkcx1G9Xtf29vZUwd7zvHMtedloNLS9va2HDx+eqG1P0rBcp9vtEuwBwCDU2APAKTY3N7W6uqpyuXzq43zf1/Ly8rlC+Pb29omlLYfnHmq1WjOfP4pqtaqdnZ2x9zUajUTaAACIhmAPAGfodDoqFApaWVkZrf/+st3d3bGrzUiaOIl10u39fv/Y18NJrC8vdznruaPc3mw25fv+idV4PM87MQH3tDkAAIDkWGEYhmk3AgBM0O12R4HXtu1R7fu4TZt831e9Xtfdu3clHe1KO9wEqlar6e7duwqCQNVqVbVaTY7jyPd91Wo1LS8vq1wuy7btUSmM67oql8ujNw9Rzh318S+X3wyfv7KyouXlZTmOM/peJ32PSZcOAQCOEOwBAACAHKAUBwAAAMgBgj0AAACQAwR7AAAAIAcI9gAAAEAOEOwBAACAHCDYAwAAADlAsAcAAABygGAPAAAA5ADBHgAAAMgBgj0AAACQAwR7AAAAIAcI9gAAAEAOEOwBAACAHPj/AXvBZUdcCFLuAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lorentz_fit.response.plot_response()" ] }, { "cell_type": "markdown", "id": "253426f8-851a-4195-a1dc-79889dae1283", "metadata": {}, "source": [ "Finally, loading data in cartesian rather than polar coordinates is identical. We simply specify the coordinates differently when setting up the fitter object; everything else (including model calcluations to return the correct products) is handled internally by the fitter class:" ] }, { "cell_type": "code", "execution_count": 6, "id": "65a0bde6-a439-4c40-9684-0a4f9416bce6", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/matteo/.local/lib/python3.10/site-packages/stingray/fourier.py:1139: RuntimeWarning: invalid value encountered in sqrt\n", " dRe = dIm = dG = np.sqrt(power_over_2n * (seg_power - frac))\n", "/home/matteo/.local/lib/python3.10/site-packages/stingray/fourier.py:1141: RuntimeWarning: invalid value encountered in sqrt\n", " dphi = np.sqrt(\n", "/home/matteo/.local/lib/python3.10/site-packages/stingray/crossspectrum.py:2991: UserWarning: Some error bars in the Averaged Crossspectrum are invalid.Defaulting to sqrt(2 / M) in Leahy norm, rescaled to the appropriate norm.\n", " warnings.warn(\n", "/home/matteo/Software/nDspec/src/ndspec/FitCrossSpectrum.py:516: RuntimeWarning: invalid value encountered in sqrt\n", " error_second_dim = np.sqrt((ps_sub.power*ps_ref.power- \\\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cartesian_coords = fitcross.FitCrossSpectrum()\n", "cartesian_coords.set_coordinates(\"cartesian\")\n", "cartesian_coords.set_product_dependence(\"frequency\")\n", "\n", "ref_band = [0.5,1.5]\n", "sub_band = [2.,5.]\n", "\n", "cartesian_coords.set_data(nicer_matrix,ref_band,sub_band,events,\n", " time_res=dt,seg_size=segment_size,norm=\"frac\") \n", "\n", "cartesian_coords.ignore_energies(0,2.0)\n", "cartesian_coords.ignore_energies(5.0,20.0)\n", "cartesian_coords.plot_data_1d()" ] }, { "cell_type": "markdown", "id": "c4b6ba81-2bef-455e-82d0-5c6eea0e88c3", "metadata": {}, "source": [ "## Defining a model for the cross spectrum and preparing a fit\n", "\n", "Now that the data is loaded, we can define a model for the complex cross spectrum itself. nDspec then handles the conversion from a complex cross spectrum, to any (real) spectral timing products (such as phase or modulus vs frequency) internally, depending on the data coordinates and dependence specified by the user.\n", "\n", "In this example, we will use the model model of [Mendez et al. 2023](https://ui.adsabs.harvard.edu/abs/2024MNRAS.527.9405M/abstract): a sum of multiple Lorentzians, similar to standard fits of a powerspectrum, multiplying each Lorentzian by a phase to introduce an imaginary component. This model is included in the nDspec model library, but we will re-define it here for clarity. \n", "\n", "For this particular observation, we will use a sum of six Lorentzian components. We instatiate an lmfit `Model` object, and assign the sum of Lorentzians to it. Then, we create an lmfit `Parameters` object to store the parameters of each Lorentzian. In this particular problem, we also have to ensure that the bounds of the Fourier frequency covered by each Lorentzian do not overlap, in order to simplify the parameter space and speed up the fit. \n", "\n", "Once both the `Model` and `Paramters` obejct are defined, we can pass them to our `FitCrossSpectrum` object. When passing the model, we also must specify what kind of model we are using - in this case, one that returns a complex cross spectrum. This is necessary to ensure that the conversion from complex cross spectrum to modulus/phase as a function of frequency is handled correctly. nDspec also supports models for impulse response and transfer functions, but these are covered [here](https://ndspec.readthedocs.io/en/latest/fit_cross_2d.html)." ] }, { "cell_type": "code", "execution_count": 7, "id": "80f352f3-9157-4f5c-8403-0adc0b55847c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " - Adding parameter \"l1_freqs\"\n", " - Adding parameter \"l1_rms\"\n", " - Adding parameter \"l1_peak_f\"\n", " - Adding parameter \"l1_q\"\n", " - Adding parameter \"l1_phase\"\n", " - Adding parameter \"l2_freqs\"\n", " - Adding parameter \"l2_rms\"\n", " - Adding parameter \"l2_peak_f\"\n", " - Adding parameter \"l2_q\"\n", " - Adding parameter \"l2_phase\"\n", " - Adding parameter \"l3_freqs\"\n", " - Adding parameter \"l3_rms\"\n", " - Adding parameter \"l3_peak_f\"\n", " - Adding parameter \"l3_q\"\n", " - Adding parameter \"l3_phase\"\n", " - Adding parameter \"l4_freqs\"\n", " - Adding parameter \"l4_rms\"\n", " - Adding parameter \"l4_peak_f\"\n", " - Adding parameter \"l4_q\"\n", " - Adding parameter \"l4_phase\"\n", " - Adding parameter \"l5_freqs\"\n", " - Adding parameter \"l5_rms\"\n", " - Adding parameter \"l5_peak_f\"\n", " - Adding parameter \"l5_q\"\n", " - Adding parameter \"l5_phase\"\n", " - Adding parameter \"l6_freqs\"\n", " - Adding parameter \"l6_rms\"\n", " - Adding parameter \"l6_peak_f\"\n", " - Adding parameter \"l6_q\"\n", " - Adding parameter \"l6_phase\"\n" ] } ], "source": [ "from lmfit import Model as LM_Model\n", "from lmfit import Parameters as LM_Parameters\n", "\n", "def cross_lorentz(energs,freqs,rms,peak_f,q,phase):\n", " n_energs = len(energs)\n", " n_freqs = len(freqs)\n", " lorentz_params = np.array([peak_f,q,rms])\n", " #calculate a standard Lorentzian, and include the phase term\n", " lorentz_arr = models.lorentz(freqs,lorentz_params)*np.exp(1j*phase)\n", " #reshape the model into an array of Fourier frequency times energy channels\n", " twod_lorentz = np.tile(lorentz_arr,n_energs).reshape((n_energs,n_freqs))\n", " twod_lorentz = np.transpose(twod_lorentz)\n", " return twod_lorentz\n", "\n", "CrossLor_model = LM_Model(cross_lorentz, prefix=\"l1_\") + \\\n", " LM_Model(cross_lorentz, prefix=\"l2_\") + \\\n", " LM_Model(cross_lorentz, prefix=\"l3_\") + \\\n", " LM_Model(cross_lorentz, prefix=\"l4_\") + \\\n", " LM_Model(cross_lorentz, prefix=\"l5_\")+ \\\n", " LM_Model(cross_lorentz, prefix=\"l6_\")\n", "\n", "Cross_model_parameters = LM_Parameters()\n", "Cross_model_parameters.add_many(('l1_peak_f', 0.05, True, 0, 0.07),\n", " ('l1_q', 0.3, True, 0, 2),\n", " ('l1_rms', 0.008, True),\n", " ('l1_phase', 0.1, True,-np.pi,+np.pi),\n", " \n", " ('l2_peak_f', 0.3, True, 0.07, 0.5),\n", " ('l2_q', 0.5, True, 0, 2),\n", " ('l2_rms', 0.003, True),\n", " ('l2_phase', 0.3, True,-np.pi,+np.pi),\n", " \n", " ('l3_peak_f', 1., True, 0.5, 1.5),\n", " ('l3_q', 0.7, True, 0, 2),\n", " ('l3_rms', 0.002, True),\n", " ('l3_phase', 0.1, True,-np.pi,+np.pi),\n", "\n", " ('l4_peak_f', 2, True, 1.5, 3),\n", " ('l4_q', 0.2, True, 0, 2),\n", " ('l4_rms', 0.005, True),\n", " ('l4_phase', 0, True,-np.pi,+np.pi),\n", " \n", " ('l5_peak_f', 5, True, 3, 10),\n", " ('l5_q', 1, True, 0, 2),\n", " ('l5_rms', 0.003, True),\n", " ('l5_phase', -0.13, True,-np.pi,+np.pi),\n", "\n", " ('l6_peak_f', 15, True, 10, 30),\n", " ('l6_q', 1.0, True, 0, 8),\n", " ('l6_rms', 0.001, True),\n", " ('l6_phase', -0.5, True,-np.pi,+np.pi) )\n", "\n", "lorentz_fit.set_model(CrossLor_model,model_type=\"cross\")\n", "lorentz_fit.set_params(Cross_model_parameters)" ] }, { "cell_type": "markdown", "id": "691fafa5-3018-4fb2-8467-125e316b32fe", "metadata": {}, "source": [ "Having set up our model, initialized the parameters, and passd it in our fitter obejct, we can evaluate the model and print the parameter values and intervals, and fit statistic, by calling the methods `model_params.pretty_print` and `print_fit_stat`. Finally, we can directly plot model and residuals against the data with the `plot_model_1d` method." ] }, { "cell_type": "code", "execution_count": 8, "id": "071ed5b5-71fa-4eb4-b496-abcd5df7e2ee", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Name Value Min Max Stderr Vary Expr Brute_Step\n", "l1_peak_f 0.05 0 0.07 None True None None\n", "l1_phase 0.1 -3.142 3.142 None True None None\n", "l1_q 0.3 0 2 None True None None\n", "l1_rms 0.008 -inf inf None True None None\n", "l2_peak_f 0.3 0.07 0.5 None True None None\n", "l2_phase 0.3 -3.142 3.142 None True None None\n", "l2_q 0.5 0 2 None True None None\n", "l2_rms 0.003 -inf inf None True None None\n", "l3_peak_f 1 0.5 1.5 None True None None\n", "l3_phase 0.1 -3.142 3.142 None True None None\n", "l3_q 0.7 0 2 None True None None\n", "l3_rms 0.002 -inf inf None True None None\n", "l4_peak_f 2 1.5 3 None True None None\n", "l4_phase 0 -3.142 3.142 None True None None\n", "l4_q 0.2 0 2 None True None None\n", "l4_rms 0.005 -inf inf None True None None\n", "l5_peak_f 5 3 10 None True None None\n", "l5_phase -0.13 -3.142 3.142 None True None None\n", "l5_q 1 0 2 None True None None\n", "l5_rms 0.003 -inf inf None True None None\n", "l6_peak_f 15 10 30 None True None None\n", "l6_phase -0.5 -3.142 3.142 None True None None\n", "l6_q 1 0 8 None True None None\n", "l6_rms 0.001 -inf inf None True None None\n", "Goodness of fit metrics:\n", "Chi squared 42968.594052029366\n", "Reduced chi squared 320.6611496420102\n", "Data bins: 158\n", "Free parameters: 24\n", "Degrees of freedom: 134\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lorentz_fit.model_params.pretty_print()\n", "lorentz_fit.print_fit_stat()\n", "lorentz_fit.plot_model_1d()" ] }, { "cell_type": "markdown", "id": "dd0a05c3-3ff1-41a9-8973-d960b4b785ef", "metadata": {}, "source": [ "## Running a fit\n", "\n", "Having st up the data and model, we can now fit the data by minimizing the least-chi squared statistic with the `fit_data` method. Once the fit is complete, nDspec outputs the best-fit statistics, as well as the values of each parameters. \n", "\n", "We caution users that the uncertainty ranges reported this way are highly unreliable, and should never be used for publication in peer-reviewed journals. Instead, they should be seen as a rough indication of how constrained each parameter may or may not be. For calculating the credible intervals of each parameter, we encourage users to carefully perform Bayesian inference of each posterior distribution, which is discussed in the [nDspec notebook on fitting power spectra](https://ndspec.readthedocs.io/en/latest/fit_psd.html)." ] }, { "cell_type": "code", "execution_count": 9, "id": "31092df6-29ea-49e9-87ae-944f4e07f17e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[Fit Statistics]]\n", " # fitting method = leastsq\n", " # function evals = 4094\n", " # data points = 158\n", " # variables = 24\n", " chi-square = 158.800148\n", " reduced chi-square = 1.18507573\n", " Akaike info crit = 48.7981289\n", " Bayesian info crit = 122.300410\n", "[[Variables]]\n", " l1_peak_f: 0.07000000 +/- 0.57404983 (820.07%) (init = 0.05)\n", " l1_q: 0.14961968 +/- 3.18061607 (2125.80%) (init = 0.3)\n", " l1_rms: 0.00812024 +/- 0.02880438 (354.72%) (init = 0.008)\n", " l1_phase: 0.09092209 +/- 0.01110042 (12.21%) (init = 0.1)\n", " l2_peak_f: 0.40999309 +/- 0.06196409 (15.11%) (init = 0.3)\n", " l2_q: 0.89707033 +/- 0.70684625 (78.79%) (init = 0.5)\n", " l2_rms: 0.00182097 +/- 0.00254975 (140.02%) (init = 0.003)\n", " l2_phase: 0.33573865 +/- 0.68287920 (203.40%) (init = 0.3)\n", " l3_peak_f: 0.76169892 +/- 0.09847159 (12.93%) (init = 1)\n", " l3_q: 0.84474067 +/- 0.54841899 (64.92%) (init = 0.7)\n", " l3_rms: 0.00240004 +/- 0.00189868 (79.11%) (init = 0.002)\n", " l3_phase: 0.11685410 +/- 0.07794081 (66.70%) (init = 0.1)\n", " l4_peak_f: 1.79049147 +/- 0.14619628 (8.17%) (init = 2)\n", " l4_q: 0.57642603 +/- 0.23231178 (40.30%) (init = 0.2)\n", " l4_rms: 0.00379931 +/- 9.5908e-04 (25.24%) (init = 0.005)\n", " l4_phase: -0.00759666 +/- 0.03125609 (411.45%) (init = 0)\n", " l5_peak_f: 3.79271376 +/- 0.44038230 (11.61%) (init = 5)\n", " l5_q: 0.68509408 +/- 0.23280976 (33.98%) (init = 1)\n", " l5_rms: 0.00224465 +/- 9.2298e-04 (41.12%) (init = 0.003)\n", " l5_phase: -0.10565720 +/- 0.07277862 (68.88%) (init = -0.13)\n", " l6_peak_f: 10.0000000 +/- 0.08250986 (0.83%) (init = 15)\n", " l6_q: 6.54579017 +/- 4.23592380 (64.71%) (init = 1)\n", " l6_rms: -4.3467e-04 +/- 2.3242e-04 (53.47%) (init = 0.001)\n", " l6_phase: -0.02530992 +/- 0.14696557 (580.66%) (init = -0.5)\n" ] }, { "data": { "image/png": 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", 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