{ "cells": [ { "cell_type": "markdown", "id": "c5b8201e-2dad-4bd5-b54e-6a360c358db6", "metadata": {}, "source": [ "# Fitting a time-averaged spectrum\n", "\n", "This notebook shows how to fit a time-averaged X-ray spectrum in nDspec. 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). \n", "\n", "The current implementation of nDspec is targeted towards analyzing high count rate observations, in which spectral/timing studies are possible. As a result, the software does not yet have any functionality to perform background subtraction, or to account for the changes in fit statistic caused by the background [equivalent to that of Xspec](https://heasarc.gsfc.nasa.gov/xanadu/xspec/manual/XSappendixStatistics.html). Users should make sure that the `.pha` files they model are either background-subtracted, or that their chosen observation has a high enough count rate to make the background contribution negligible (e.g., a bright X-ray binary observed with NICER). Additionally, nDspec currently only makes used for the chi-squared statistic." ] }, { "cell_type": "code", "execution_count": 1, "id": "24c3cbc3-bd5d-4497-a451-94e518a222ca", "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.FitTimeAvgSpectrum as fitspec\n", "import ndspec.models as models" ] }, { "cell_type": "markdown", "id": "37b0b853-43d2-469c-bb07-dae6b29160b6", "metadata": {}, "source": [ "## Loading and plotting data\n", "\n", "Loading a time-averaged spectrum always requires users to first load a `ResponseMatrix` object. Once the response is loaded, we can declare a `FitTimeAvgSpectrum` object, and then pass both the `ResponseMatrix` file and the `.pha` file we are interested in to the `set_data` method. The spectrum file itself is processed through a built-in nDspec function, `load_pha`, which makes use of Astropy to load the appopriate arrays. The data is always stored in units of total counts, divided by exposure and channel width (ie, counts/s/keV) as a function of energy channel width." ] }, { "cell_type": "code", "execution_count": 2, "id": "8f5e6a8c-9ef5-4a96-9a96-3227aa91d8df", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Arf missing, please load it\n", "Arf loaded\n" ] } ], "source": [ "path = os.getcwd() + \"/data/\"\n", "\n", "rmfpath = path+\"1200120106_rmf.pha\"\n", "nicer_matrix = ResponseMatrix(rmfpath)\n", "arfpath = path+\"1200120106_arf.pha\"\n", "nicer_matrix.load_arf(arfpath)\n", "\n", "spectrum_fit = fitspec.FitTimeAvgSpectrum()\n", "\n", "spectrum_fit.set_data(nicer_matrix,path+'1200120106_rebin.pha')" ] }, { "cell_type": "markdown", "id": "a59d8cb7-42d8-47a4-bcea-7323f0bf9f71", "metadata": {}, "source": [ "We can now plot the data. nDspec allows users to plot data in both folded and unfolded units. Unfolding is performed in a model independent way, following the method implemented in ISIS and discussed in [Gunderson and Huenemoerder 2024](https://arxiv.org/pdf/2410.21449). This is different (and more robust) than the method used in Xspec, because it does not require users to specify a model for unfolding the data, and does not cause spurious features to appear in the spectrum depending on the model chosen for it. The units on the y axis are set following the same convention as Xspec: adding an `e` in the labels argument multiplies the y axis by a single unit of energy. \n", "\n", "Before running a fit, it is good practice to ignore energy ranges appropriate for a given mission - for typical soft X-ray missions, this might mean restricting the noticed energies between 0.5 and 10 keV. nDspec allows users to selectively notice/ignore any energy range (in units of keV) they choose in their analysis, e.g. by excluding regions where a line might appear.\n", "\n", "Note that unfolding may raise warnings if a given channel in a spectrum has 0 counts for any photon energy. This is to be expected and should generally not be cause for concern, particularly if users are restricting the noticed energies to a sensible range. The warnings are left in this notebook for the sake of clarity." ] }, { "cell_type": "code", "execution_count": 3, "id": "20219c18-abb5-41aa-bb13-71b2395c7ba7", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/matteo/Software/nDspec/src/ndspec/Response.py:644: RuntimeWarning: divide by zero encountered in divide\n", " unfold_model = array/unfold_array*channel_widths\n", "/home/matteo/Software/nDspec/src/ndspec/Response.py:644: RuntimeWarning: invalid value encountered in divide\n", " unfold_model = array/unfold_array*channel_widths\n", "/usr/lib/python3/dist-packages/matplotlib/axes/_axes.py:3465: RuntimeWarning: invalid value encountered in add\n", " low, high = dep + np.row_stack([-(1 - lolims), 1 - uplims]) * err\n", "/home/matteo/Software/nDspec/src/ndspec/Response.py:644: RuntimeWarning: divide by zero encountered in divide\n", " unfold_model = array/unfold_array*channel_widths\n", "/home/matteo/Software/nDspec/src/ndspec/Response.py:644: RuntimeWarning: invalid value encountered in divide\n", " unfold_model = array/unfold_array*channel_widths\n", "/home/matteo/Software/nDspec/src/ndspec/Response.py:644: RuntimeWarning: divide by zero encountered in divide\n", " unfold_model = array/unfold_array*channel_widths\n", "/home/matteo/Software/nDspec/src/ndspec/Response.py:644: RuntimeWarning: invalid value encountered in divide\n", " unfold_model = array/unfold_array*channel_widths\n", "/home/matteo/Software/nDspec/src/ndspec/Response.py:644: RuntimeWarning: divide by zero encountered in divide\n", " unfold_model = array/unfold_array*channel_widths\n", "/home/matteo/Software/nDspec/src/ndspec/Response.py:644: RuntimeWarning: invalid value encountered in divide\n", " unfold_model = array/unfold_array*channel_widths\n" ] }, { "data": { "image/png": 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", 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", 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spectrum_fit.plot_data(units='data')\n", "spectrum_fit.plot_data(units='eeunfold')\n", "spectrum_fit.ignore_energies(0,0.5)\n", "spectrum_fit.ignore_energies(10.0,20.0)\n", "spectrum_fit.plot_data(units='eeunfold')\n", "spectrum_fit.ignore_energies(4.0,7.0)\n", "spectrum_fit.plot_data(units='eeunfold')\n", "spectrum_fit.notice_energies(4.0,7.0)\n", "spectrum_fit.plot_data(units='eeunfold')" ] }, { "cell_type": "markdown", "id": "d8f6c7f9-3aaa-4b5d-bd08-9f88d21a37fe", "metadata": {}, "source": [ "## Defining a model and preparing a fit\n", "\n", "We can now define a model to fit our data. In this case, we are analyzing the hard state of an X-ray binary, so we will use a phenomenological model with a disk component, a corona/power-law component, and correct both for line-of-sight absorption.\n", "\n", "For the power-law component, we can wrap the corresponding function in the nDspec models library. Instead, for a disk model and line of sight absorption, we need to wrap calls to PyXspec. The latter calls are extremely computationally inefficient, but at the moment they are the only way of accessing the Xspec model library. A more optimized model interface will be available with future versions of nDspec." ] }, { "cell_type": "code", "execution_count": 4, "id": "3975e919-dc48-4fe4-a105-2f76e77e4469", "metadata": {}, "outputs": [], "source": [ "from scipy.interpolate import interp1d\n", "from xspec import *\n", "Xset.chatter = 0 \n", "\n", "def powerlaw(energ,index,norm_pl):\n", " par_array = np.array([norm_pl,index])\n", " model = models.powerlaw(energ,par_array)\n", " return model \n", "\n", "#dear god this is awful - also probably a messed up implementation\n", "def wrap_diskbb(energ,kT,norm_disk):\n", " model = Model(\"diskbb\")\n", " model.diskbb.Tin = kT\n", " model.diskbb.norm = norm_disk\n", " Plot(\"model\")\n", " diskbb_x = np.array(Plot.x())\n", " diskbb_y = np.array(Plot.model())\n", " interp_obj = interp1d(diskbb_x,diskbb_y,fill_value='extrapolate') \n", " model = interp_obj(energ)*energ\n", " return model\n", "\n", "#and so is this\n", "#can take this and e..g take the model output to a power of the nH I want - e.g. \n", "#set it to 10^21, return model, or for 10^22 return1 10^model\n", "def wrap_tbabs(energ,nH):\n", " model = Model(\"tbabs*po\")\n", " model.TBabs.nH = nH\n", " model.powerlaw.PhoIndex = 0.0\n", " model.powerlaw.norm = 1.0\n", " Plot(\"model\")\n", " tbabs_x = np.array(Plot.x())\n", " tbabs_y = np.array(Plot.model())\n", " interp_obj = interp1d(tbabs_x,tbabs_y,fill_value='extrapolate') \n", " model = interp_obj(energ) \n", " return model" ] }, { "cell_type": "markdown", "id": "9f690282-caf4-47bd-9226-74f3a7d00f48", "metadata": {}, "source": [ "After defining the model functions, we can create an lmfit `Model` object using the standard synthax from other X-ray modelling softwares, ie absorption*(disk+powerlaw). We then initialize the parameter values using the `make_params` method of lmfit `Model` objects - here, `index` is the power-law photon index, `norm_pl` the power-law normalization, `kT` the diskbb temperature, `norm_disk` the diskbb normalization, and `nH` the absorbing column density. `make_params` returns an lmfit `Parameters` object, which can then be assigned to our fitter.\n", "\n", "Once the model and its starting parameters are defined, we can assign them to our fitter object with the `set_model` method. Then, after the data, model, and initial parameters are loaded, we can use the `pretty_print` and `print_fit_stat` method to get an idea on the fit statistics for our current set of parameters." ] }, { "cell_type": "code", "execution_count": 5, "id": "29c66b7d-1c0f-40b2-931b-8c0559b874a3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Name Value Min Max Stderr Vary Expr Brute_Step\n", "index -1.65 -3 -1 None True None None\n", "kT 0.25 0.1 1 None True None None\n", "nH 0.1 0.001 2 None True None None\n", "norm_disk 2e+05 10 1e+08 None True None None\n", "norm_pl 6.5 0.1 50 None True None None\n", "Goodness of fit metrics:\n", "Chi squared 2308.0280044761303\n", "Reduced chi squared 10.034904367287522\n", "Data bins: 235\n", "Free parameters: 5\n", "Degrees of freedom: 230\n" ] } ], "source": [ "from lmfit import Model as LM_Model\n", "\n", "#define my unfolded model - this will be the only thing users have to define\n", "unfolded_model = LM_Model(wrap_tbabs)*(LM_Model(powerlaw)+LM_Model(wrap_diskbb))\n", "\n", "start_params = unfolded_model.make_params(index=dict(value=-1.65,min=-3.0,max=-1.0),\n", " norm_pl=dict(value=6.5,min=1e-1,max=50.),\n", " kT=dict(value=0.25,min=0.10,max=1),\n", " norm_disk=dict(value=2e5,min=1e1,max=1e8),\n", " nH=dict(value=0.1,min=1e-3,max=2))\n", "\n", "spectrum_fit.set_model(unfolded_model,params=start_params)\n", "spectrum_fit.model_params.pretty_print()\n", "spectrum_fit.print_fit_stat()" ] }, { "cell_type": "markdown", "id": "e5ae96d5-72f3-4e0b-a97d-9f5a9d6846f6", "metadata": {}, "source": [ "Plotting the model and data together can be done with the `plot_model` method. Identically to `plot_data`, users can use both folded and model-independent unfolded units:" ] }, { "cell_type": "code", "execution_count": 6, "id": "3944affd-2b60-443b-8303-102147c0da45", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/matteo/Software/nDspec/src/ndspec/Response.py:644: RuntimeWarning: invalid value encountered in divide\n", " unfold_model = array/unfold_array*channel_widths\n", "/home/matteo/Software/nDspec/src/ndspec/Response.py:644: RuntimeWarning: divide by zero encountered in divide\n", " unfold_model = array/unfold_array*channel_widths\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spectrum_fit.plot_model(units='data')\n", "spectrum_fit.plot_model(units='eeunfold')" ] }, { "cell_type": "markdown", "id": "aa55541a-13fc-4eb1-93e7-f80b58f1bbe6", "metadata": {}, "source": [ "## Running a fit\n", "\n", "We can now fit the data by minimizing the least-chi squares statistic with the `fit_data` method. Once the fit completes, the method will output the best-fit statistics and their corresponding parameter values:" ] }, { "cell_type": "code", "execution_count": 7, "id": "0258a644-dd8b-453f-9000-9d8f1d00ab08", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[Fit Statistics]]\n", " # fitting method = leastsq\n", " # function evals = 57\n", " # data points = 235\n", " # variables = 5\n", " chi-square = 643.872328\n", " reduced chi-square = 2.79944490\n", " Akaike info crit = 246.860012\n", " Bayesian info crit = 264.157939\n", "[[Variables]]\n", " nH: 0.09136439 +/- 0.00472511 (5.17%) (init = 0.1)\n", " index: -1.59763896 +/- 0.00704034 (0.44%) (init = -1.65)\n", " norm_pl: 6.25158218 +/- 0.07408392 (1.19%) (init = 6.5)\n", " kT: 0.23975053 +/- 0.00466251 (1.94%) (init = 0.25)\n", " norm_disk: 287698.701 +/- 38053.9294 (13.23%) (init = 200000)\n" ] } ], "source": [ "spectrum_fit.fit_data()" ] }, { "cell_type": "markdown", "id": "0ab11264-0e82-472e-b523-557633367dbf", "metadata": {}, "source": [ "It is extremely important to note that the error bars reported by these least-chi squares are often highly misleading, particularly for cases with relatively complex parameter spaces (as is the case for high signal/noise X-ray spectra). These intervals should only be used as a rough indication of how well parameters can be constrained. They should NOT be included in peer-reviewed research as credible parameter intervals. Instead, users are highly encouraged to use and report credible intervals from Bayesian sampling; the tutorial on [fitting power spectra](https://ndspec.readthedocs.io/en/latest/fit_psd.html) discusses how to do this in nDspec.\n", "\n", "Once the fit is complete, we can plot the best-fitting model together with its components. Not that multiplicative components (such as tbabs) will not display correctly with the current implementation of nDspec. As a result, the automated plots from `plot_model` may not be good enough to be included in a scientific publication. This will be improved in a future version. Regardless, the relevant arrays (e.g. model values, data points, etc) are all accessible outside of the class. Users can find more information on the arrays required to create their own plots in the [nDspec API documentation page](https://ndspec.readthedocs.io/en/latest/api.html#ndspec.FitTimeAvgSpectrum.FitTimeAvgSpectrum)." ] }, { "cell_type": "code", "execution_count": 8, "id": "c30c45f6-e2fa-475f-8eb0-c93a548c7017", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/matteo/Software/nDspec/src/ndspec/Response.py:644: RuntimeWarning: invalid value encountered in divide\n", " unfold_model = array/unfold_array*channel_widths\n", "/home/matteo/Software/nDspec/src/ndspec/Response.py:644: RuntimeWarning: divide by zero encountered in divide\n", " unfold_model = array/unfold_array*channel_widths\n", "/home/matteo/Software/nDspec/src/ndspec/Response.py:644: RuntimeWarning: invalid value encountered in divide\n", " unfold_model = array/unfold_array*channel_widths\n", "/home/matteo/Software/nDspec/src/ndspec/Response.py:644: RuntimeWarning: invalid value encountered in divide\n", " unfold_model = array/unfold_array*channel_widths\n", "/home/matteo/Software/nDspec/src/ndspec/Response.py:644: RuntimeWarning: invalid value encountered in divide\n", " unfold_model = array/unfold_array*channel_widths\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spectrum_fit.plot_model(units='eeunfold',plot_components=True)" ] }, { "cell_type": "markdown", "id": "4c8e0188-1d93-4346-a371-22254f93630e", "metadata": {}, "source": [ "Having run our fit and plotted our results, we can conclude that this spectrum shows the typical features of an accreting black hole in the hard state: the disk is relatively weak and only contributes below 1 keV, much of the total luminosity is emitted by the power-law component, and the residuals show clear reflection features." ] } ], "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 5 }