{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Capítulo 3: Análise e Filtragem de Sinais" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A análise de sinais é um campo fascinante que envolve a decomposição de um sinal em suas componentes de frequência. Essa técnica permite que se compreendam como diferentes frequências contribuem para a formação do sinal total. Uma das ferramentas mais poderosas e amplamente utilizadas para essa análise é a Transformada de Fourier (TF).\n", "\n", "A **Transformada de Fourier** é um método matemático que transforma um sinal do domínio do tempo para o domínio da frequência. Isso significa que, em vez de analisarmos como um sinal varia ao longo do tempo, podemos examinar as frequências que compõem o sinal.\n", "\n", "## Transformada de Fourier Contínua\n", "\n", "A Transformada de Fourier contínua lida com sinais contínuos no tempo, que podem assumir valores em qualquer instante. A equação matemática para a Transformada de Fourier contínua de um sinal x(t) é definida como:\n", "\n", "\\begin{align}\n", "X(f) = \\int_{-\\infty}^{\\infty} x(t) e^{-j2\\pi ft}\\, dt\n", "\\end{align}\n", "\n", "\n", "Nesta equação, $X(f)$ representa a transformada de Fourier do sinal, $x(t)$ é o sinal original no domínio do tempo, e a integral calcula a contribuição de todas as frequências possíveis. O termo $ e^{-j2\\pi ft} $ é conhecido como função exponencial complexa e é fundamental na matemática das transformadas de Fourier.\n", "\n", "## Transformada de Fourier Discreta (DFT)\n", "\n", "Na prática, muitos sinais que encontramos são discretos, por exemplo, nos computadores, o que significa que eles são amostrados em momentos específicos no tempo. Para lidar com esses sinais, utilizamos a Transformada de Fourier Discreta (DFT). A DFT é computada usando um algoritmo eficiente chamado Fast Fourier Transform (FFT), que reduz significativamente a complexidade computacional em comparação com a Transformada de Fourier Contínua. A equação para a DFT é a seguinte:\n", "\n", "\\begin{align}\n", "X[k] = \\sum_{n=0}^{N-1} x[n] e^{-j2\\pi kn/N}\n", "\\end{align}\n", "\n", "Nesta equação, $X[k]$ representa a transformada de Fourier discreta, $x[n]$ são os valores amostrados do sinal, e $N$ é o número de pontos no sinal. A DFT fornece uma representação das frequências discretas presentes no sinal amostrado.\n", "\n", "## Teorema de Nyquist\n", "\n", "Um aspecto importante ao trabalhar com sinais discretos é o Teorema de Nyquist, que fornece diretrizes importantes para a amostragem adequada de sinais contínuos. O teorema afirma que, para reconstruir perfeitamente um sinal contínuo a partir de suas amostras discretas, a taxa de amostragem deve ser maior que o dobro da maior frequência presente no sinal. Matematicamente, o teorema pode ser expresso como:\n", "\n", "\\begin{align}\n", "f_{amostragem} > 2 \\cdot f_{máxima}\n", "\\end{align}\n", "\n", "Onde $f_{amostragem}$ é a taxa de amostragem e $f_{máxima}$ é a maior frequência presente no sinal. Se essa condição não for atendida, pode ocorrer um fenômeno conhecido como aliasing, resultando em distorção do sinal.\n", "\n", "A Transformada de Fourier tem aplicações vastas e diversas. No processamento de áudio, é usada para análise de tons e harmônicos. No domínio das imagens, é essencial para compressão e filtragem. Em telecomunicações, facilita a modulação e demodulação de sinais. A Transformada de Fourier também encontra uso em áreas como processamento de sinais biológicos, análise de vibrações mecânicas e até mesmo em algoritmos de aprendizado de máquina.\n", "\n", "Bibliotecas de software como NumPy, SciPy e Librosa em Python fornecem ferramentas poderosas e acessíveis para calcular e explorar transformadas de Fourier, tornando mais fácil do que nunca aplicar essas técnicas avançadas em projetos de processamento de sinais." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculando a Transformada de Fourier em Python\n", "\n", "Vamos explorar o cálculo da Transformada de Fourier para diferentes tipos de sinais usando Python e algumas bibliotecas populares.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Onda Senoidal Simples\n", "\n", "Primeiro, vamos gerar uma onda senoidal simples de 1 Hz e calcular sua FFT." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/hm/.local/lib/python3.10/site-packages/matplotlib/projections/__init__.py:63: UserWarning: Unable to import Axes3D. This may be due to multiple versions of Matplotlib being installed (e.g. as a system package and as a pip package). As a result, the 3D projection is not available.\n", " warnings.warn(\"Unable to import Axes3D. This may be due to multiple versions of \"\n", "/usr/lib/python3/dist-packages/scipy/__init__.py:146: UserWarning: A NumPy version >=1.17.3 and <1.25.0 is required for this version of SciPy (detected version 1.26.3\n", " warnings.warn(f\"A NumPy version >={np_minversion} and <{np_maxversion}\"\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Importando as bibliotecas\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.fft import fft, fftfreq\n", "\n", "# Parâmetros\n", "f = 1 # frequência da onda em Hz\n", "duration = 2 # duração total do sinal em segundos\n", "sample_rate = 100 # taxa de amostragem em Hz\n", "\n", "# Gerar um array com os instantes de tempo\n", "t = np.linspace(0, duration, int(sample_rate * duration), endpoint=False)\n", "\n", "# Gerar a onda senoidal\n", "sine_wave = np.sin(2 * np.pi * f * t)\n", "\n", "# Plotar a onda senoidal no domínio do tempo\n", "plt.figure(figsize=(10, 4))\n", "plt.plot(t, sine_wave)\n", "plt.title('Onda Senoidal de 1 Hz')\n", "plt.xlabel('Tempo (s)')\n", "plt.ylabel('Amplitude')\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Agora, vamos calcular e plotar a FFT da onda senoidal:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Função para calcular e plotar a FFT\n", "def plot_fft(signal, title):\n", " N = len(signal)\n", " yf = fft(signal)\n", " xf = fftfreq(N, 1 / sample_rate)[:N//2]\n", "\n", " plt.figure(figsize=(10, 4))\n", " plt.plot(xf, 2.0/N * np.abs(yf[:N//2]))\n", " plt.title(title)\n", " plt.xlabel('Frequência (Hz)')\n", " plt.ylabel('Amplitude')\n", " plt.grid(True)\n", " plt.show()\n", "\n", "# Plotar a FFT da onda senoidal\n", "plot_fft(sine_wave, 'FFT da Onda Senoidal de 1 Hz')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Onda com Mistura de Sinais\n", "Agora, vamos criar um sinal mais complexo, que consiste em uma onda senoidal de 1 Hz e outra de 5 Hz, e então calcular sua FFT.\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Gerar a onda senoidal de 5 Hz\n", "sine5hz = np.sin(2 * np.pi * 5 * t)\n", "\n", "# Misturar as duas ondas senoidais\n", "mixed_signal = sine_wave + sine5hz\n", "\n", "# Plotar o sinal misto no domínio do tempo\n", "plt.figure(figsize=(10, 4))\n", "plt.plot(t, mixed_signal)\n", "plt.title('Sinal Misto')\n", "plt.xlabel('Tempo (s)')\n", "plt.ylabel('Amplitude')\n", "plt.grid(True)\n", "plt.show()\n", "\n", "# Plotar a FFT do sinal misto\n", "plot_fft(mixed_signal, 'FFT do Sinal Misto')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Espectrogramas\n", "\n", "Um espectograma é uma representação visual que mostra como a frequência de um sinal varia com o tempo. Ele é útil para analisar sinais não estacionários, ou seja, sinais cuja frequência muda ao longo do tempo. Vamos usar a biblioteca scipy para calcular e plotar um espectograma.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lendo Sinais Utilizando a Raspberry Pi Pico\n", "\n", "O Raspberry Pi Pico é uma placa de desenvolvimento que oferece muitos recursos, incluindo a capacidade de ler sinais analógicos. Neste exemplo, demonstraremos como ler um sinal analógico usando o pino ADC (Conversor Analógico-Digital). Considere o código abaixo para leitura de um sinal.\n", "\n", "```python\n", "from machine import Pin, ADC\n", "\n", "# Configurar o pino ADC para entrada (escolha um pino, por exemplo, 26)\n", "adc_pin = ADC(Pin(26))\n", "\n", "# Ler o valor analógico do pino\n", "valor_analogico = adc_pin.read_u16()\n", "\n", "# Imprimir o valor analógico\n", "print(\"Valor Analógico:\", valor_analogico)\n", "```\n", "\n", "Neste código, primeiro importamos os módulos necessários, `machine` e `ADC`. Então, criamos um objeto ADC `adc_pin` e passamos o número do pino (neste caso, 26) como argumento para a classe `Pin`. Isto configura o pino especificado para conversão analógico-digital (ADC).\n", "\n", "Em seguida, usamos o método `read_u16()` do objeto `ADC` para ler o valor analógico do pino especificado. Este método retorna um inteiro sem sinal de 16 bits representando o valor analógico.\n", "\n", "Finalmente, imprimimos o valor analógico na console." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Filtragem de Sinais\n", "- Circuitos para Filtragem\n", "- Filtros de software\n", "- Removendo 60HZ" ] } ], "metadata": { "colab": { "provenance": [], "toc_visible": true }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 4 }