{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Onda Dente de Serra \n", "\n", "A [onda dente de serra](https://en.wikipedia.org/wiki/Sawtooth_wave) é um tipo de forma de onda não-senoidal. É assim denominada devido à sua semelhança com os dentes de uma serra de dentes planos com ângulo de saída zero.\n", "\n", "Principais características da onda dente de serra:\n", "\n", "- Uma onda dente de serra é uma forma de onda periódica e ela é não-sinusoidal.\n", "- Uma onda dente de serra cresce para cima e cai bruscamente. \n", "- Uma onda dente de serra também pode ir para baixo e ascender bruscamente, neste caso ela é chamada de \"onda dente de serra reversa\" ou \"onda dente de serra inversa\".\n", "- Ondas Dente de Serra tem suas aplicações em Sintetizadores Musicais, em Telas de Cathode-Ray Tube (CRT) e Osciloscópios.\n", "- A função **signal.sawtooth** da biblioteca **SciPy** retorna uma forma de onda dente serra periódica ou uma forma de onda triangular.\n", "\n", "Para vermos o exemplo, vamos então importar as bibliotecas necessárias:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from scipy import signal\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Criamos **1000** pontos separados linearmente com valores entre **0** e **1**:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "pontos_temporais = np.linspace(0, 1, 500)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculamos o sinal da onda dente de serra:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "sinal = signal.sawtooth(2 * np.pi * 5 * pontos_temporais)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finalmente podemos plotar o gráfico:" ] }, { "cell_type": "code", "execution_count": 4, "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=(16,9))\n", "plt.plot(pontos_temporais, sinal, linewidth=3, color='blue')\n", "plt.title('Onda Dente de Serra - 5 Hz amostrado em 1000Hz/segundo')\n", "plt.xlabel('Tempo')\n", "plt.ylabel('Amplitude')\n", "plt.grid(True, which='both')\n", "plt.axhline(y=0, color='k')\n", "plt.ylim(-1.5, 1.5)\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 }