{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Transformada Inversa de Fourier\n", "\n", "Enquanto que a Transformada de Fourier de Tempo Discreta transforma um sinal do domínio de tempo para o domínio de frequência, a Transformada Inversa de Fourier de Tempo Discreta transforma a representação do sinal de volta para o domínio de tempo.\n", "\n", "A biblioteca NumPy possui uma função **[ifft](https://numpy.org/doc/stable/reference/generated/numpy.fft.ifft.html)** que executa a transformação inversa.\n", "\n", "O exemplo que vamos ver utiliza uma onda senoidal com múltiplas frequências: 1 Hertz, 2 Hertz e 4 Hertz.\n", "\n", "Começaremos importando as bibliotecas necessárias:" ] }, { "cell_type": "code", "execution_count": 105, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Definimos o período de tempo:" ] }, { "cell_type": "code", "execution_count": 106, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 0.13 0.14]\n" ] } ], "source": [ "t = np.arange(0, 10, 0.01)\n", "print(t[1:15])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Criamos uma onda senoidal com múltiplas frequências (1 Hz, 2 Hz e 4 Hz):" ] }, { "cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [], "source": [ "a = np.sin(2*np.pi*t) + np.sin(2*2*np.pi*t) + np.sin(4*2*np.pi*t)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotamos a onda senoidal original:" ] }, { "cell_type": "code", "execution_count": 108, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,5))\n", "plt.plot(t, a)\n", "plt.title(\"Gráfico da onda senoidal\")\n", "plt.xlabel('Tempo')\n", "plt.ylabel('Amplitude')\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Executamos a transformada de Fourier no sinal:" ] }, { "cell_type": "code", "execution_count": 109, "metadata": {}, "outputs": [], "source": [ "tx = np.fft.fft(a)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotamos a onda senoidal utilizando a transformada Fourier:" ] }, { "cell_type": "code", "execution_count": 110, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,5))\n", "plt.plot(t, tx)\n", "plt.title(\"Gráfico da onda senoidal utilizando transformada de Fourier\")\n", "plt.xlabel('Frequência')\n", "plt.ylabel('Amplitude')\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Executamos a transformada inversa de Fourier no sinal para retornar ao domínio de tempo:" ] }, { "cell_type": "code", "execution_count": 111, "metadata": {}, "outputs": [], "source": [ "itx = np.fft.ifft(tx);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotamos a onda senoidal original utilizando a transformada inversa de Fourier:" ] }, { "cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,5))\n", "plt.plot(t, itx)\n", "plt.title(\"Gráfico da onda senoidal utilizando transformada inversa de Fourier\")\n", "plt.xlabel('Tempo')\n", "plt.ylabel('Amplitude')\n", "plt.grid(True)\n", "plt.show()" ] } ], "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": "3.7.10" } }, "nbformat": 4, "nbformat_minor": 4 }