{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Localized Spectral Analysis on the Sphere\n", "\n", "A localised spectral estimate can be seen as the spectrum of a global function multiplied with a window. In a 2D cartesian coordinate system, this multiplication becomes a convolution in Fourier domain: the window *couples* different Fourier coefficients of the global function to each other.\n", "\n", "Windowing on the sphere leads to similar effects: Multiplication with a window function leads to coupling of the spherical harmonic coefficients of the globally defined function. In the case of an isotropic and stationary function, a coupling matrix describes the relation between the input power to the output power. This matrix resembles a convolution at high degrees." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate a random model using the SHCoeffs class interface\n", "\n", "We first generate a random model using the SHCoeffs class interface to SHTOOLS. This class simplifies coefficient generation and provides a simple access to most SHTOOLS functions. We start by generating coefficients that have a power spectrum that follows a power-law decay." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "pyshtools 3.3-beta -- Tools for working with spherical harmonics.\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAb0AAAErCAYAAABKEV0aAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbQAAAD5CAYAAABPhcBAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pyshtools.shclasses import SHCoeffs, SHWindow, SHGrid\n", "\n", "nl = 100 # l = [0, 199]\n", "lmax = nl - 1\n", "a = 4 # scale length\n", "ls = np.arange(nl, dtype=np.float)\n", "power = 1. / (1. + (ls / a) ** 2) ** 1.5\n", "\n", "# Generate the random coefficients using an input power spectrum.\n", "coeffs_global = SHCoeffs.from_random(power)\n", "\n", "# Plot the power per band spectrum using the class method plot_powerperband().\n", "coeffs_global.plot_powerperband()\n", "\n", "# Get the power per degree spectrum as a numpy array using the class method\n", "# get_powerperdegree().\n", "power_global = coeffs_global.get_powerperdegree()\n", "\n", "# Expand the data on a global grid using the class method expand().\n", "grid_global = coeffs_global.expand('DH2')\n", "\n", "# Plot the raw grid using the class method plot_rawdata().\n", "grid_global.plot_rawdata()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate a box window function\n", "\n", "We now generate a window function that picks a few local regions from the globally defined model. In this example, the window contains sharp boundaries, so the spherical harmonic bandwidth of the function is infinite. In general, this could severely bias the localized power spectrum away from its global value, especially when the power spectrum follows a power law. To combat this negative characteristic, we will later show how to construct windows with a specified spherical harmonic bandwith that are optimally concentrated within the provided region.\n", "\n", "The example makes use of the SHTOOLS class SHGrid, which is the counterpart to SHCoeffs." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbQAAAD5CAYAAABPhcBAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nS5RjOLRniAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAb0AAAErCAYAAABKEV0aAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJz3nnHMFw5Oec865guFJzznnXMH4//6/fb5Y8BwxAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make an arbitrary mask.\n", "latgrid, longrid = np.meshgrid(grid_global.get_lats(), grid_global.get_lons(), indexing='ij')\n", "window = (-40 < latgrid) & (latgrid < -30) & (10 < longrid) & (longrid < 30)\n", "window += (0 < latgrid) & (latgrid < 30) & (60 < longrid) & (longrid < 80)\n", "window += (-70 < latgrid) & (latgrid < -40) & (130 < longrid) & (longrid < 150)\n", "window += (20 < latgrid) & (latgrid < 40) & (125 < longrid) & (longrid < 145)\n", "window += (10 < latgrid) & (latgrid < 30) & (220 < longrid) & (longrid < 250)\n", "\n", "# Generate an SHGrid instance from the input array. The first element of the grid corresponds\n", "# to zero longitude and 90 degrees north.\n", "grid_window = SHGrid.from_array(window.astype(np.float64)[::-1]) # DH grid starts at north-pole\n", "\n", "grid_window.plot_rawdata()\n", "\n", "# Expand the grid in spherical harmonics using the class method expand().\n", "coeffs_window = grid_window.expand()\n", "\n", "coeffs_window.plot_powerperband()\n", "power_window = coeffs_window.get_powerperdegree()\n", "norm_window = power_window.sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multiply the random model with the window\n", "\n", "Multiplication of the global random model with the window function localizes the data, and its expansion in spherical harmonics gives a *local* power spectrum estimate of the input function. The interaction of the window function with the random model *distorts* the spectrum. In general, the ouput spectrum at degree l is influenced by the input spherical harmonic degrees from l - Lwin to l + Lwin, where Lwin in the spherical harmonic bandwidth of the windowing function." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbQAAAD5CAYAAABPhcBAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAb0AAAErCAYAAABKEV0aAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nOeecKxie9JxzzhWM/wMTeC6jDIZlhgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Multiply the data by the window and plot the spatially localized data.\n", "grid_local = SHGrid.from_array(grid_global.data * grid_window.data)\n", "grid_local.plot_rawdata()\n", "\n", "# Next, expand the localized data in spherical harmonics and plot the\n", "# power per band spectrum.\n", "coeffs_local = grid_local.expand()\n", "coeffs_local.plot_powerperband()\n", "power_local = coeffs_local.get_powerperdegree()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute the coupling matrix\n", "\n", "The expected distortion of the global spectrum due to the windowing operation can be described by a *coupling matrix* under the assumption that the model is isotropic and stationary. This means that the local (expected) spectra are independent of the position and orientation of the windows. In this case, the expected local spectrum depends only on the power spectrum of the window, which is taken as input for the SHMTCouplingMatrix function.\n", "\n", "The coupling matrix describes how input power maps to output power. At high degrees, it is approximately symmetric around the diagonal and resembles a convolution in degree l space. At low degrees, however, input power is spread more unevently into output power. For example, input degree 0 maps preferentially to output degree 4, which is off-diagonal. This is a direct consquence of describing a 2D multiplication with coupling of a single dimension parameter *l*. A similar bias can be seen when describing coupling in 2D Fourier space between coefficients with similar |k|." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAewAAADhCAYAAAAKw4YKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ndHRcBOiE3dHR0dHRcRHg/wccCq27fVJVdgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute the coupling matrix\n", "from pyshtools.localizedspectralanalysis import SHMTCouplingMatrix\n", "coupling_matrix = SHMTCouplingMatrix(lmax, power_window.reshape(nl, 1))\n", "\n", "# Plot the coupling matrix\n", "fig, (col1, col2) = plt.subplots(1, 2, figsize=(10, 3))\n", "col1.imshow(coupling_matrix, cmap='viridis')\n", "col1.set(xlabel='input degree l', ylabel='output degree l', xlim=(-0.5, 10.5), ylim=(10.5, -0.5),\n", " title='zoomed coupling matrix');\n", "col2.imshow(coupling_matrix, cmap='viridis')\n", "col2.set(xlabel='input degree l', ylabel='output degree l', title='full coupling matrix');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Predict the biased spectrum\n", "\n", "Finally, the coupling matrix can be used to predict the spectrum of the windowed function. SHTOOLS provides also the functions SHBiasK and SHBias that can compute directly the biased spectrum without explicitely computing the coupling matrix. Under some assumptions, the coupling matrix can be inverted allowing the global input power spectrum to be estimated from the localized spectrum. This has to be done with care because as a smoothing operation, windowing leads to loss of information (less resolution in degree l space) and has to be regularized to stabilize the inversion." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAloAAAE3CAYAAABy2e/zAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQgghRBWRREsIIYQQoor8PwKV8mnmi/LsAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute the biased spectrum using two different methods\n", "from pyshtools.localizedspectralanalysis import SHBias\n", "power_local2 = np.dot(coupling_matrix, power)\n", "power_local3 = SHBias(power_window, power)\n", "\n", "# plot the observed and predicted spectra\n", "fig, ax = plt.subplots(1, 1, figsize=(10, 5))\n", "ax.plot(ls, power_global, label='measured global')\n", "ax.plot(ls, power_local, label='measured local')\n", "ax.plot(power_local2, label='predicted local (CouplingMatrix)')\n", "ax.plot(power_local3, 'x', label='predicted local (SHBias)')\n", "ax.legend(loc=3)\n", "ax.set_xscale('log', basex=2)\n", "ax.set_yscale('log', basey=2)" ] } ], "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }