{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Spherical Harmonic Normalizations and Parseval's theorem" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "pyshtools 3.3-beta -- Tools for working with spherical harmonics.\n" ] } ], "source": [ "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from pyshtools.shclasses import SHCoeffs, SHGrid, SHWindow" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The energy and variance of a single spherical harmonic\n", "\n", "We demonstrate in this paragraph two properties of the 4-pi normalized spherical harmonics. We initializing the coefficient class with a single non-zero coefficient. To make things simple, we fix the coefficient value, and therefore also its energy, to 1.\n", "\n", "We then compute the normalization N that is by default fixed to 4pi in shtools. The variance of the spherical harmonic is the integral of its squared amplitude (norm) divided by the surface area of the sphere (4pi) and should in the 4pi normalization correspond to 1.\n", "\n", "$$N = \\int_\\Omega Y^2_{lm}(\\mathbf{r})~d\\Omega$$\n", "$$Var(Y_{lm}(\\mathbf{r})) = \\frac{N}{4 \\pi} = 1$$\n", "\n", "The integrals are easy to compute using the DH2 grid that has an equal spacing in latitude and longitude." ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "total coefficient power is: 1.0\n" ] }, { "data": { "image/png": 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Od4mxu7P2EzUCj9ydMyeiJD6acrAhz2u6UNdNWWXYMxnt32HtCTDad/PihClI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "correct surface (4 pi) = 12.5663706144\n", "computed surface = 12.5661122277\n", "computed spherical harmonics energy = 12.5663706143\n", "variance = spherical harmonics energy / surface = 1.00002056217\n" ] } ], "source": [ "# Initialize the model with a single harmonic set to 1.\n", "lmax = 99\n", "coeffs = SHCoeffs.from_zeros(lmax)\n", "coeffs.set_coeffs(values=[1], ls=[5], ms=[2])\n", "\n", "power = coeffs.get_powerperdegree()\n", "print 'total coefficient power is:', power.sum()\n", "\n", "grid = coeffs.expand('DH2')\n", "grid.plot_rawdata()\n", "\n", "# Generate an empty spatial grid\n", "lats = grid.get_lats()\n", "lons = grid.get_lons()\n", "latgrid, longrid = np.meshgrid(lats, lons, indexing='ij')\n", "\n", "# Next, compute the weights used to integrate the function.\n", "# This will only be approximate.\n", "weights = np.cos(np.radians(latgrid))\n", "dlat = np.radians(lats[0] - lats[1])\n", "dlon = np.radians(lons[1] - lons[0])\n", "surface = weights.sum() * dlat * dlon\n", "print 'correct surface (4 pi) =', 4 * np.pi\n", "print 'computed surface =', surface\n", "\n", "# Finally, compute the model variance\n", "sh_energy = np.sum(grid.data**2 * weights) * dlat * dlon\n", "\n", "print 'computed spherical harmonics energy =', sh_energy\n", "print 'variance = spherical harmonics energy / surface =', sh_energy / surface" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parseval's theorem in the case of a random model\n", "\n", "We have seen in the previous example, that a single 4pi normalized spherical harmonic has unit variance. Because spherical harmonics are orthogonal functions on the sphere, *the total variance of a model is the sum of the variances of its' 4pi-normalized spherical harmonics coefficients*.\n", "\n", "If the coefficients of all spherical harmonics are independent, the distribution will become Gaussian as predicted by the central limit theorem, or it will be perfectly Gaussian if the individual coefficients were Gaussian in the first place.\n", "\n", "We illustrate this behaviour in the following short code snippet." ] }, { "cell_type": "code", "execution_count": 102, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "total coefficient power = 44.2896772422\n" ] }, { "data": { "image/png": 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M9dmds6291MYVeKSuM21tnT5vl5HPnJo2bh4JTpHhxyluIrEisI3xz1jXXAWa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y1FNmyGoqo2FwQrEePVdUa0mVJvONemon7edHu51IViqVwxEcoOzFv9XwPZ6SjrBEfS7i9u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KA6yEKeKjipMOHRzsG7PkGgnccoMV1wZb0iIJsuhI5InSx0qQCqekTJGDQttkvB4zQdPs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4UpoQFZRJf+XK0yeLruvDOg2xj0CnqgF/I7w2MZaUlFS6XdiIiyPi7MFcHP1v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\nnXdelTG+8MILzJ8/n7i4OJo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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nl = 200\n", "a = 30\n", "ls = np.arange(nl, dtype=float)\n", "power = 1. / (1. + (ls / a) ** 2) ** 1\n", "coeffs = SHCoeffs.from_random(power)\n", "power = coeffs.get_powerperdegree()\n", "total_power = power_random.sum()\n", "print 'total coefficient power =', total_power\n", "\n", "grid = coeffs.expand('DH2')\n", "grid.plot_rawdata()\n", "\n", "# Generate a spatial grid.\n", "lats = grid.get_lats()\n", "lons = grid.get_lons()\n", "latgrid, longrid = np.meshgrid(lats, lons, indexing='ij')\n", "\n", "# First, compute the spherical surface element to weight\n", "# the different grid points when constructing a histogram.\n", "weights = np.cos(np.radians(latgrid))\n", "dlat = np.radians(lats[0] - lats[1])\n", "dlon = np.radians(lons[1] - lons[0])\n", "surface = weights.sum() * dlat * dlon\n", "\n", "# Compute a histogram of the grided data.\n", "bins = np.linspace(-50, 50, 30)\n", "center = 0.5 * (bins[:-1] + bins[1:])\n", "dbin = center[1] - center[0]\n", "hist, bins = np.histogram(grid.data, bins=bins, weights=weights, density=True)\n", "\n", "# Compute the expected distribution.\n", "normal_distribution = np.exp( - center ** 2 / (2 * total_power))\n", "normal_distribution /= dbin * normal_distribution.sum()\n", "\n", "# Plot both distributions.\n", "fig, ax = plt.subplots(1, 1)\n", "ax.plot(center, hist, '-x', c='blue', label='computed distribution')\n", "ax.plot(center, normal_distribution, c='red', label='predicted distribution')\n", "ax.legend(loc=3);" ] } ], "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 }