Skip to content

Instantly share code, notes, and snippets.

@msacchi
Created October 21, 2017 01:57
Show Gist options
  • Save msacchi/199f927906100a2b0997edd066d617fe to your computer and use it in GitHub Desktop.
Save msacchi/199f927906100a2b0997edd066d617fe to your computer and use it in GitHub Desktop.
Exponential Smoothing - example
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exponential Smoothing\n",
"\n",
"\n",
"\n",
"#### M D Sacchi ####\n",
"#### [Signal Analysis and Imaging Group](https://saig.physics.ualberta.ca/doku.php), Physics, University of Alberta ####\n",
"\n",
"Exponential smoothing is a method to filter time series. Given the scalar $a<1$ we perform the following recursion\n",
"\n",
"$$ \\hat{y}_n = a y_n + (1-a) \\hat{y}_{n-1}$$\n",
"\n",
"with intialization given by $\\hat{y}_0 = y_0$. Using the Z-transform\n",
"\n",
"\n",
"$$ \\hat{Y}(z) = a Y(z)+ (1-a) z \\hat{Y}(z) $$\n",
"\n",
"from where we can estimate the transfer function of the filter\n",
"\n",
"$$ \\hat{Y}(z) = \\frac{ a } { 1-(1-a)z} Y(z) = P(z)\\,\\hat{Y}(z)\\,. $$\n",
"\n",
"After replacing $z=e^{i\\omega}$, we obtain the response of the filter in the frequency domain \n",
"\n",
"$$ P(\\omega) = \\frac{ a } { 1-(1-a)e^{-i\\omega}}\\,.$$ \n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"using PyPlot\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x324fdc050>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Synthetize a Time series composed of Oscillations + trend + noise\n",
"\n",
"N = 199;\n",
"x = collect(0:1:N-1);\n",
"y = sin(2*pi*x*0.041+0.22)+sin(2*pi*x*0.021+0.12)+(0.01*x).^2 + 0.9*randn(N);\n",
"\n",
"# Exponential Smoothing starts here\n",
"\n",
"a = 0.2;\n",
"yh = zeros(N)\n",
"yh[1] = y[1];\n",
"for n=2:N\n",
" yh[n] = a*y[n]+(1.-a)*yh[n-1];\n",
"end\n",
"\n",
"# The freq. response of the filter associated to Exp. Smoothing\n",
"\n",
"w,F = spectrum(a)\n",
"figure(figsize=(9,5))\n",
"plot_results(x,y,yh,w,F)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"function plot_results(x,y,yh,w,F)\n",
" # Plot results \n",
"\n",
" \n",
"figure(figsize=(15,9))\n",
" \n",
"subplot(231);plot(x,y); ylim(-2,6); \n",
"xlabel(\"t [sample]\"); \n",
"ylabel(\"y(t)\");\n",
"title(\"Input series\")\n",
"\n",
"subplot(232);\n",
"plot(x,yh);\n",
"ylim(-2,6); \n",
"xlabel(\"t [sample]\"); \n",
"ylabel(\"y(t)\");\n",
"title(\"Series after ES\")\n",
"\n",
"subplot(233);\n",
"plot(w,abs(F),\"-r\");\n",
"xlim(-pi,pi);\n",
"xlabel(L\"$\\omega$ [rad]\");\n",
"title(\"Freq. response of ES\")\n",
"grid()\n",
"\n",
"tight_layout()\n",
"\n",
"\n",
"end;"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"function spectrum(a;M=300)\n",
" # Compute Power Spectrum of Exponential Smoothing Operator\n",
" # w,P = specrum(a) returns freq in radians w and Fourier response P\n",
"\n",
"w = -pi+(2*pi/(300-1))*collect(0:1:M-1)\n",
"W = exp(-im*w);\n",
"F = zeros(M)\n",
"P = a./(1. -(1.-a)*W);\n",
" return w,P\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Julia 0.5.2",
"language": "julia",
"name": "julia-0.5"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "0.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment