{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# **pyspec** example notebook: 2D spectrum\n", "\n", "This notebook showcases a basic usage of **pyspec** for computing 2D spectrum and its associated isotropic spectrum. Other featrures such as bin average in log space and confidence limit estimation are also shown." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import LogNorm\n", "%matplotlib inline\n", "\n", "import seawater as sw\n", "\n", "from pyspec import spectrum as spec" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Load random data with $\\kappa^{-3}$ spectrum" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "fni = \"data/synthetic_uv.npz\"\n", "uv_synthetic = np.load(fni)\n", "up = uv_synthetic['up']" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# We may also want to calculate the wavenumber spectrum of a 3d-array along two dimensions, and\n", "# then average along the third dimension. Here we showcase that pyspec capability by repeating the\n", "# up array...\n", "up2 = np.tile(up,(10,1,1)).T" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(800, 800, 10)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "up2.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Compute and plot the 2D spectrum using $dx = dy = 1$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "spec2d10 = spec.TWODimensional_spec(up2,1.,1.)\n", "spec2d = spec.TWODimensional_spec(up,1.,1.)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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6xw6CCSm8M2JBF6upOvpPtOwbxFWL1fegHLtMfpaSo4P9E0LIgCWcMv3v9VxQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(9,7))\n", "ax = fig.add_subplot(111)\n", "cf = ax.contourf(spec2d.kk1,spec2d.kk2,spec2d.spec.mean(axis=-1),np.logspace(-6,6,10),norm=LogNorm(vmin=1.e-6,vmax=1e6))\n", "cb = plt.colorbar(cf)\n", "ax.set_xlabel(r'$k_x$')\n", "ax.set_ylabel(r'$k_y$')\n", "cb.set_label(r'log$_{10}$ E')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Tf7hiNOsSQojA62vhJkUrUjaIWrk2fW1d+WQxGlNYMj0tPiAtS2Xtj3oWFr8S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WAAAG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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(9,7))\n", "ax = fig.add_subplot(111)\n", "cf = ax.contourf(spec2d.kk1,spec2d.kk2,spec2d10.spec.mean(axis=-1),np.logspace(-6,6,10),norm=LogNorm(vmin=1.e-6,vmax=1e6))\n", "cb = plt.colorbar(cf)\n", "ax.set_xlabel(r'$k_x$')\n", "ax.set_ylabel(r'$k_y$')\n", "cb.set_label(r'log$_{10}$ E')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Calculating the isotropic spectrum" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The class \"TWODimensional_spec\" has the objects \"ispec\" for isotropic the spectrum and \"kr\" for the isotropic wavenumber. The isotropic spectrum is computed by interpolating the 2D spectrum from Cartesian to polar coordinates and integrating in the azimuthal direction; the integration is not very accurate at low wavenumbers due to the paucity of information. An important point is that we neglect the corners ($\\kappa > max(k_x,k_y)$) since in this square domain it preferentially selects some direction. Hence, we just need to plot it." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "2" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "spec2d.ndim" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HEqMqUmIkkhrbz1GbPBk6d959/6lTp3L77bezZMkSateunfwARSQjKDGqIiVGIqnz1FPw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\nkiXQti106ACLF8OXX8I+1Wa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AJmWuNwHKOctYREQkfV18MdxzDyxYAMcfD61bB/+Qjxw5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\nHaCqfl9V84EXACcneXY/4teO61eft+ftA1wCnN7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k3 = np.array([.5e-2,.5])\n", "E3 = 1/k3**3/1e5\n", "\n", "fig = plt.figure(figsize=(9,7))\n", "ax = fig.add_subplot(111)\n", "plt.loglog(spec2d.ki,spec2d10.ispec.mean(axis=-1))\n", "plt.loglog(k3,E3,'k--')\n", "plt.text(1.e-2,50,r'$\\kappa^{-3}$',fontsize=25)\n", "ax.set_xlabel(r\"Wavenumber\")\n", "ax.set_ylabel(r\"Spectral density\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Averaging with 10 bins decade\n", "Because we generally plot and analyze spectra in $\\log_{10}\\times\\log_{10}$, it is sometimes useful to bin the spectrum. This makes the spectrum uniformaly space in log space. This may be useful for avoinding bias of more data at highwanumber when trying to least-squares fit slopes to the spectrum in log space. The module **spec** has a built in function that does the spectral average. Here we use 10 bins per deca. " ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ki, Ei = spec.avg_per_decade(spec2d.ki,spec2d.ispec,nbins = 10)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Hxx/zHUdEJCwqjEQkaiqXPYQZnWcxbfVQnprziu84IiL7pMJIRKLqvLMO5+qDX+emt69n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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(9,7))\n", "ax = fig.add_subplot(111)\n", "plt.loglog(spec2d.ki,spec2d.ispec,label='raw')\n", "plt.loglog(ki,Ei,label='binned')\n", "ax.set_xlabel(r\"Wavenumber\")\n", "ax.set_ylabel(r\"Spectral density\")\n", "plt.legend(loc=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Adding error bars\n", "\n", "**pyspec** has a built-in function to calculate confidence limits to the 1D spectrum. The function **spec_error** calculates these confidence limits assuming that the estimates of the spectrum are $\\chi^2$-distributed. Suppose we have estimated the spectra Ei with different number of averaing at different wavenumber. Thus we have different number of spectral realization. To illustrate how to use the function, we pick some arbitrary numbers." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sn = 5*np.ones(Ei.size) # number of spectral realizations\n", "sn[10:16] = 20\n", "sn[16:] = 100" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [], "source": [ "El,Eu = spec.spec_error(Ei, sn, ci=0.95) # calculate lower and upper limit of confidence limit" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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9rz4Z+5VXlIwtkuUUGImItGT4cA9iWpo1+t//hV272ve8+mTs11/33CMRyUoK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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(9,7))\n", "ax = fig.add_subplot(111)\n", "ax.fill_between(ki,El,Eu, color='r', alpha=0.25)\n", "plt.loglog(ki,Ei,color='r')\n", "ax.set_xlabel(r\"Wavenumber\")\n", "ax.set_ylabel(r\"Spectral density\")\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python [Root]", "language": "python", "name": "Python [Root]" }, "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 }