{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Localized Spectral Analysis on the Sphere\n", "\n", "A localised spectral estimate is the spectrum of a global function multiplied by a localization window. In a 2D Cartesian coordinate system, this multiplication becomes a convolution in the Fourier domain. As a result of the convolution, a localized spectral estimate for a given wavelength depends upon a range of coefficients of both the global function and localization window. One says that the window *couples* the global Fourier coefficients to the localized coefficients.\n", "\n", "Windowing on the sphere leads to similar effects: Multiplication of a global function by a window leads to coupling of the spherical harmonic coefficients of the globally defined function to the localized spectrum. In the case of an isotropic and stationary function, a coupling matrix describes the relation between the global power to the localized power, and at high degrees, this matrix operation resembles a convolution." ] }, { "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. This class simplifies coefficient generation and provides a simple access to most SHTOOLS functions. We start by defining a global power spectrum that follows a power-law decay:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "from __future__ import print_function # only necessary if using Python 2.x\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we generate random coefficients from this input power spectrum, plot the power spectrum of the random realization, and expand the coeffificients on a grid:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAY8AAAERCAYAAACD9ivUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nlCo0TR5KKaUK7f8DS/txcYgYEnYAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbQAAADqCAYAAADKx7B1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(,\n", " )" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coeffs_global = SHCoeffs.from_random(power)\n", "\n", "power_global = coeffs_global.spectrum()\n", "coeffs_global.plot_spectrum(unit='per_dlogl')\n", "\n", "grid_global = coeffs_global.expand('DH2')\n", "grid_global.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate a box window function\n", "\n", "We next 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 show in a different tutorial how to construct windows with a specified spherical harmonic bandwith that are optimally concentrated within the provided region.\n", "\n", "This example makes use of the class `SHGrid`, which is the counterpart to `SHCoeffs`. Let's start by making an arbitrary mask:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "latgrid, longrid = np.meshgrid(grid_global.lats(), grid_global.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)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, generate an `SHGrid` instance from the input array, plot the grid, expand it in spherical harmonics, and calculate and plot the power spectrum. Note that the first element of the grid corresponds to 0 degrees longitude and 90 degrees north." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbQAAADqCAYAAADKx7B1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAY8AAAERCAYAAACD9ivUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid_window = SHGrid.from_array(window.astype(np.float64)[::-1]) # DH grid starts at north-pole\n", "grid_window.plot()\n", "\n", "coeffs_window = grid_window.expand()\n", "coeffs_window.plot_spectrum(unit='per_dlogl')\n", "\n", "power_window = coeffs_window.spectrum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multiply the random model with the window\n", "\n", "Multiplication of the global model with the window function localizes the data, and its expansion in spherical harmonics gives a *local* power spectrum estimate. The interaction of the window function with the random model *distorts* the spectrum. In particular, 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.\n", "\n", "Let's multiply the data by the window, expand the result in spherical harmonics, and plot the resulting localized power spectrum:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbQAAADqCAYAAADKx7B1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nExGRRlCgiYhIIyjQRESkERRoIiLSCP8fJnivcRFj6zEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAY8AAAERCAYAAACD9ivUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid_local = SHGrid.from_array(grid_global.data * grid_window.data)\n", "grid_local.plot()\n", "\n", "coeffs_local = grid_local.expand()\n", "coeffs_local.plot_spectrum(unit='per_dlogl')\n", "\n", "power_local = coeffs_local.spectrum()" ] }, { "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 global data and window.\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 spherical harmonic degree l. At low degrees, however, input power is spread more unevenly 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|.\n", "\n", "Here, we calculate and plot the couplting matrix using the function `SHMTCouplingMatrix`:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAewAAADhCAYAAAAKw4YKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nHR0dHRcBOmF3dHR0dHRcBPj/AY6hs9wMVVduAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pyshtools.spectralanalysis import SHMTCouplingMatrix\n", "\n", "coupling_matrix = SHMTCouplingMatrix(lmax, power_window.reshape(nl, 1))\n", "\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.\n", "\n", "Here. we compute the biased spectrum using two methods, mutliplication of the global spectrum by the coupling matrix, and the function `SHBias`, and then plot the results." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAloAAAE3CAYAAABy2e/zAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pyshtools.spectralanalysis import SHBias\n", "\n", "power_local2 = np.dot(coupling_matrix, power)\n", "power_local3 = SHBias(power_window, power)\n", "\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 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 0 }