{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Filter - FFT" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Loading required package: daltoolbox\n", "\n", "Registered S3 method overwritten by 'quantmod':\n", " method from\n", " as.zoo.data.frame zoo \n", "\n", "\n", "Attaching package: ‘daltoolbox’\n", "\n", "\n", "The following object is masked from ‘package:base’:\n", "\n", " transform\n", "\n", "\n", "Loading required package: tspredit\n", "\n" ] } ], "source": [ "# TSPredIT\n", "# version 1.0.767\n", "\n", "source(\"https://raw.githubusercontent.com/cefet-rj-dal/tspredit/main/jupyter.R\")\n", "\n", "#loading TSPredIT\n", "load_library(\"daltoolbox\") \n", "load_library(\"tspredit\") \n", "\n", "source(\"https://raw.githubusercontent.com/cefet-rj-dal/tspredit/main/R/ts_fil_fft.R\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Series for studying with added noise" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "data(sin_data)\n", "y <- sin_data$y\n", "noise <- rnorm(length(y), 0, sd(y)/10)\n", "spike <- rnorm(1, 0, sd(y))\n", "sin_data$y <- sin_data$y + noise\n", "sin_data$y[10] <- sin_data$y[10] + spike\n", "sin_data$y[20] <- sin_data$y[20] + spike\n", "sin_data$y[30] <- sin_data$y[30] + spike" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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1NHUI0xan1JZsKrsoZSWqS65ZByiGGl0vdCSPhf5AHqCHn5Ex6TNZTKImXFXoMV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\n4AB1BAXJKl1fb1MWSSb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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "library(ggplot2)\n", "plot_ts(x=sin_data$x, y=sin_data$y) + theme(text = element_text(size=16))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### smooth" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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RLJnj17WMcBAPlq2LDhZ599VqlRR0enf//+TPJwzNLSUktLq2o7phcrBRR2UL2S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\n+D+qVnF6REVnHgAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "filter <- ts_fil_fft()\n", "filter <- fit(filter, sin_data$y)\n", "y <- transform(filter, sin_data$y)\n", "plot_ts_pred(y=sin_data$y, yadj=y) + theme(text = element_text(size=16))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "4.3.3" } }, "nbformat": 4, "nbformat_minor": 4 }