{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Transformada Discreta de Fourier\n", "***\n", "\n", "```\n", "Implementação da DFT Matricial\n", "Aluno: Alysson Machado de Oliveira Barbosa\n", "```" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# importação dos pacotes utilitários\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import warnings\n", "import time\n", "\n", "# desabilita todos os warnings\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lembrando que se $x(n)$ é um sinal no tempo de discreto e aperiódico, sua Transformada de Fourier é dada por\n", "$$\n", "X(e^{j\\omega}) = \\sum_{n=-\\infty}^{\\infty}x[n]e^{-j\\omega n}\n", "$$\n", "e a inversa \n", "$$\n", "x(n) = \\frac{1}{2\\pi}\\int_{2\\pi}X(e^{j\\omega})e^{j\\omega n}d\\omega\n", "$$\n", "$X(e^{j\\omega})$ é uma função contínua de $\\omega$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exemplo:** \n", "***\n", "Seja o sinal\n", "$$\n", "x(n) = \\left\\{ \n", "\\begin{array}{c c}\n", "1, & 0 \\leq n < L \\\\ 0, & c.c.\n", "\\end{array}\n", "\\right.\n", "$$\n", "que é limitado no tempo com apenas $L$ valores constantes e não nulos. Calculando a Transformada de Fourier para $L=8$ obtemos\n", "$$\n", "X(e^{j\\omega}) = \\frac{e^{-j8\\omega} - 1}{e^{-j\\omega} - 1}\n", "$$\n", "cujo módulo está representado na Figura abaixo:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def x(w, L):\n", " '''\n", " Representação do sinal x[n] no domínio da frequência\n", "\n", " Inputs:\n", " w (int) -> frequência em radianos.\n", " L (int) -> valor máximo de n cujo x[n] = 1, considerando que n > 0.\n", " '''\n", "\n", " #\n", " numerator = np.exp(-1j * L * w) - 1\n", " denominator = np.exp(-1j * w) - 1\n", " return numerator / denominator\n", "\n", "# definindo os valores no domínio da frequência (radianos)\n", "w = np.linspace(0, 2 * np.pi, 200)\n", "\n", "# configurações para a plotagem do gráfico\n", "plt.plot(w, np.abs(x(w, L = 8)))\n", "plt.xlabel('Frequência (radianos)')\n", "plt.ylabel('$|x(e^{jw})|$')\n", "plt.title('Módulo da função no domínio da frequência')\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "O módulo representado na figura acima é uma função contínua de $\\omega$, e para realizar a análise espectral usando um processador digital, devemos amostrá-la, o que nos leva a questão de quantas amostras devem ser obtidas.\n", "\n", "Por exemplo, se escolhermos $N = 8$, vamos amostras tomar nas frequências $\\omega_k = 2\\pi k/N$ e obteremos os valores calculados abaixo." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podemos escrever\n", "$$\n", "X[k] = X(e^{j\\omega})|_{\\omega=\\frac{2\\pi k}{N}},\\ k=0,1,2,..., N-1\n", "$$\n", "e como $X(e^{j\\omega})$ é periódica, basta tomar amostras no intervalo de 0 a $2\\pi$.\n", "\n", "Estamos considerando que o sinal $x(n)$ tem $L$ valores ($x[n] = 0$ para $n < 0 $ e $N\\geq L$), ao tomar $N$ amostas do espectro temos\n", "$$\n", "X[k] = X(e^{j\\frac{2\\pi k}{N}}) = \\sum\\limits_{n=0}^{N-1}x[n]e^{-j\\frac{2\\pi k}{N}n}\n", "$$\n", "ou ainda como\n", "$$\n", "X[k] =\\left\\{ \\begin{array}{c c} \\sum\\limits_{n=0}^{N-1}x[n]W_N^{kn} & k = 0,1, ..., N-1 \\\\\n", "0, & c.c\n", "\\end{array}\n", "\\right.\n", "$$\n", "e\n", "$$\n", "x[n] = \\left\\{ \\begin{array}{c c} \\frac{1}{N}\\sum\\limits_{k=0}^{N-1}X[k]W_{N}^{-kn}, & n = 0,1,...,N-1 \\\\ 0, & c.c. \\end{array}\\right.\n", "$$\n", "sendo $W_N = e^{-j\\frac{2\\pi}{N}}$.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Definindo a Transformada Discreta de Fourier\n", "***" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def dft_sum(time_function, N):\n", " '''\n", " Define a DFT usando procedimentos de repetição com somatórios\n", "\n", " Inputs:\n", " time_function (list) -> lista com os valores discretos x[n] da função.\n", " N (int) -> define o espaçamento dos valores discretos x[k] obtidos com a DFT.\n", " \n", " Outputs:\n", " x_freq (list) -> valores da DFT x[k] para x[n].\n", " '''\n", "\n", " # inicializa uma lista para adicionar os valores de x[k]\n", " x_freq = np.zeros((N))\n", "\n", " # aplica o zero padding em x[n] para os casos em que N > len(x[n])\n", " if len(time_function) < N:\n", " time_function.extend(np.zeros(N - len(time_function)))\n", "\n", " # somatório para x[0], ..., x[N-1], 0 <= k < N - 1\n", " for k in range(0, N):\n", " # intera as componentes de cada somatório de x[k], 0 <= n < N - 1\n", " x_k_values = list()\n", " for n in range(0, N):\n", " x_k_values.append(np.multiply(time_function[n], np.exp(-1j * ((2 * np.pi) / N) * (k * n))))\n", " \n", " x_freq[k] = np.sum(x_k_values)\n", "\n", " return x_freq" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def dft_matrix(time_function, N):\n", " '''\n", " Define a DFT usando procedimentos de multiplicação matricial.\n", "\n", " Inputs:\n", " time_function (list) -> lista com os valores discretos x[n] da função.\n", " N (int) -> define o espaçamento dos valores discretos x[k] obtidos com a DFT.\n", " \n", " Outputs:\n", " x_freq (list) -> valores da DFT x[k] para x[n].\n", " '''\n", "\n", " # aplica o zero padding em x[n] para os casos em que N > len(x[n])\n", " if len(time_function) < N:\n", " time_function.extend(np.zeros(N - len(time_function)))\n", " \n", " # define todos os valores possíveis de n, correspondentes a quantidade máxima de linhas da matriz\n", " n = np.arange(N)\n", " # define todos os valores possíveis de k, correspondentes a quantidade máxima de colunas da matriz\n", " k = n.reshape((N, 1))\n", " # define a matrix que mapeia os elementos de x[n] para x[k]\n", " W = np.exp(-1j * ((2 * np.pi) / N) * (k * n))\n", " # realiza o mapeamento da função x[n] para o domínio x[k]\n", " x_freq = np.dot(W, time_function)\n", " \n", " return x_freq" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def visualize_dfts(N):\n", " '''\n", " Função para visualizar as DFT pelo método de somatórios e matricial.\n", "\n", " Inputs:\n", " N (int) -> define o espaçamento dos valores discretos x[k] obtidos com a DFT.\n", " '''\n", "\n", " # aplica a DFT por somatórios \n", " discrete_signal1 = dft_sum([1.,1.,1.,1.,1.,1.,1.,1.], N)\n", "\n", " # aplica a DFT por matrizes \n", " discrete_signal2 = dft_matrix([1.,1.,1.,1.,1.,1.,1.,1.], N)\n", "\n", " # criando os objetos para plotar duas imagens\n", " fig, axs = plt.subplots(1, 2 , figsize=(16, 6))\n", "\n", " # plotando o sinal x(e^(jw))\n", " axs[0].plot(w, x(w, L = 8), label = 'FFT')\n", " # define os valores no eixo x, igualmente espaçados para a resolução do sinal x(e^(jw))\n", " dft_x_axis = np.arange(0, np.max(w), (np.max(w) / len(discrete_signal1)))\n", " # plota os pontos obtidos com a DFT para o método de somatórios\n", " axs[0].scatter(dft_x_axis, discrete_signal1, color = 'red', marker = 'o', label = 'DFT Somatórios')\n", " # define as legendas, títulos e grades da imagem\n", " axs[0].set_xlabel('Frequência (radianos)')\n", " axs[0].set_ylabel('$X(e^{jw})$')\n", " axs[0].set_title(f'Função no domínio da frequência')\n", " axs[0].grid(True)\n", " axs[0].legend()\n", "\n", " # plotando o sinal x(e^(jw))\n", " axs[1].plot(w, x(w, L = 8), label = 'FFT')\n", " # define os valores no eixo x, igualmente espaçados para a resolução do sinal x(e^(jw))\n", " dft_x_axis = np.arange(0, np.max(w), (np.max(w) / len(discrete_signal2)))\n", " # plota os pontos obtidos com a DFT para o método de multiplicação matricial\n", " axs[1].scatter(dft_x_axis, discrete_signal2, color = 'red', marker = 'o', label = 'DFT Matricial')\n", " # define as legendas, títulos e grades da imagem\n", " axs[1].set_xlabel('Frequência (radianos)')\n", " axs[1].set_ylabel('$X(e^{jw})$')\n", " axs[1].set_title(f'Função no domínio da frequência')\n", " axs[1].grid(True)\n", " axs[1].legend()\n", "\n", " # adiciona um título geral para a figura\n", " fig.suptitle(f'N = {N}')\n", "\n", " # Ajustando o layout para evitar sobreposição\n", " plt.tight_layout()\n", "\n", " # Exibindo os gráficos\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "visualize_dfts(N = 8)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "visualize_dfts(N = 32)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "visualize_dfts(N = 128)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "visualize_dfts(N = 512)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Análise das DFT para um impulso e um impulso deslocado\n", "***" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def x_impulse(w):\n", " '''\n", " Representação do sinal x[n] no domínio da frequência.\n", "\n", " Inputs:\n", " w (int) -> frequência em radianos.\n", " '''\n", "\n", " return np.exp(-1j * w * 0)\n", "\n", "def x_impulse_shift(w, no):\n", " '''\n", " Representação do sinal x[n] no domínio da frequência.\n", "\n", " Inputs:\n", " w (int) -> frequência em radianos.\n", " no (int) -> deslocamento do impulson.\n", " '''\n", "\n", " return np.exp(-1j * w * no)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# criando os objetos para plotar duas imagens\n", "fig, axs = plt.subplots(1, 2 , figsize=(16, 6))\n", "\n", "discrete_signal3 = dft_sum([1.], N = 16)\n", "discrete_signal4 = dft_matrix([1.], N = 16)\n", "\n", "# definindo os valores no domínio da frequência (radianos)\n", "w = np.linspace(0, 2 * np.pi, 200)\n", "\n", "\n", "# plotando o módulo do sinal x(e^(jw))\n", "axs[0].plot(w, np.abs(x_impulse(w)), label = 'FFT')\n", "# define os valores no eixo x, igualmente espaçados para a resolução do sinal x(e^(jw))\n", "dft_x_axis = np.arange(0, np.max(w), (np.max(w) / len(discrete_signal3)))\n", "# plota os pontos obtidos com a DFT para o método de somatórios\n", "axs[0].scatter(dft_x_axis, np.abs(discrete_signal4), color = 'red', marker = 'o', label = 'DFT Matricial')\n", "# define os valores no eixo x, igualmente espaçados para a resolução do sinal x(e^(jw))\n", "axs[0].set_xlabel('Frequência (radianos)')\n", "axs[0].set_ylabel('$|X(e^{jw})|$')\n", "axs[0].set_title(f'Módulo da função FFT($\\delta(n)$) no domínio da frequência')\n", "axs[0].set_ylim([-2, 2])\n", "axs[0].grid(True)\n", "axs[0].legend()\n", "\n", "# plotando o ângulo do sinal x(e^(jw))\n", "axs[1].plot(w, np.angle(x_impulse(w)), label = 'FFT')\n", "# define os valores no eixo x, igualmente espaçados para a resolução do sinal x(e^(jw))\n", "dft_x_axis = np.arange(0, np.max(w), (np.max(w) / len(discrete_signal3)))\n", "# plota os pontos obtidos com a DFT para o método de somatórios\n", "axs[1].scatter(dft_x_axis, np.angle(discrete_signal4), color = 'red', marker = 'o', label = 'DFT Matricial')\n", "# define os valores no eixo x, igualmente espaçados para a resolução do sinal x(e^(jw))\n", "axs[1].set_xlabel('Frequência (radianos)')\n", "axs[1].set_ylabel('$\\phi$')\n", "axs[1].set_title(f'Ângulo da função FFT($\\delta(n)$) no domínio da frequência')\n", "axs[1].set_ylim([-2, 2])\n", "axs[1].grid(True)\n", "axs[1].legend()\n", "\n", "# adiciona um título geral para a figura\n", "fig.suptitle(f'N = {64}')\n", "\n", "# Ajustando o layout para evitar sobreposição\n", "plt.tight_layout()\n", "\n", "# Exibindo os gráficos\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# criando os objetos para plotar duas imagens\n", "fig, axs = plt.subplots(1, 2 , figsize=(16, 6))\n", "\n", "discrete_signal3 = dft_sum([0, 1., 0, 0], N = 32)\n", "discrete_signal4 = dft_matrix([0, 1., 0, 0], N = 32)\n", "\n", "# definindo os valores no domínio da frequência (radianos)\n", "w = np.linspace(0, 2 * np.pi, 200)\n", "\n", "\n", "# plotando o módulo do sinal x(e^(jw))\n", "axs[0].plot(w, np.abs(x_impulse_shift(w, no = 1)), label = 'FFT')\n", "# define os valores no eixo x, igualmente espaçados para a resolução do sinal x(e^(jw))\n", "dft_x_axis = np.arange(0, np.max(w), (np.max(w) / len(discrete_signal3)))\n", "# plota os pontos obtidos com a DFT para o método de somatórios\n", "axs[0].scatter(dft_x_axis, np.abs(discrete_signal4), color = 'red', marker = 'o', label = 'DFT Matricial')\n", "# define os valores no eixo x, igualmente espaçados para a resolução do sinal x(e^(jw))\n", "axs[0].set_xlabel('Frequência (radianos)')\n", "axs[0].set_ylabel('$|X(e^{jw})|$')\n", "axs[0].set_title(f'Módulo da função FFT($\\delta(n-1)$) no domínio da frequência')\n", "axs[0].grid(True)\n", "axs[0].legend()\n", "\n", "# plotando o ângulo do sinal x(e^(jw))\n", "axs[1].plot(w, np.angle(x_impulse_shift(w, no = 1)), label = 'FFT')\n", "# define os valores no eixo x, igualmente espaçados para a resolução do sinal x(e^(jw))\n", "dft_x_axis = np.arange(0, np.max(w), (np.max(w) / len(discrete_signal3)))\n", "# plota os pontos obtidos com a DFT para o método de somatórios\n", "axs[1].scatter(dft_x_axis, np.angle(discrete_signal4), color = 'red', marker = 'o', label = 'DFT Matricial')\n", "# define os valores no eixo x, igualmente espaçados para a resolução do sinal x(e^(jw))\n", "axs[1].set_xlabel('Frequência (radianos)')\n", "axs[1].set_ylabel('$\\phi$')\n", "axs[1].set_title(f'Ângulo da função FFT($\\delta(n-1)$) no domínio da frequência')\n", "axs[1].grid(True)\n", "axs[1].legend()\n", "\n", "# adiciona um título geral para a figura\n", "fig.suptitle(f'N = {32}')\n", "\n", "# Ajustando o layout para evitar sobreposição\n", "plt.tight_layout()\n", "\n", "# Exibindo os gráficos\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# criando os objetos para plotar duas imagens\n", "fig, axs = plt.subplots(1, 2 , figsize=(16, 6))\n", "\n", "discrete_signal3 = dft_sum([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1., 0, 0, 0,], N = 128)\n", "discrete_signal4 = dft_matrix([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1., 0, 0, 0], N = 128)\n", "\n", "# definindo os valores no domínio da frequência (radianos)\n", "w = np.linspace(0, 2 * np.pi, 200)\n", "\n", "\n", "# plotando o módulo do sinal x(e^(jw))\n", "axs[0].plot(w, np.abs(x_impulse_shift(w, no = 10)), label = 'FFT')\n", "# define os valores no eixo x, igualmente espaçados para a resolução do sinal x(e^(jw))\n", "dft_x_axis = np.arange(0, np.max(w), (np.max(w) / len(discrete_signal3)))\n", "# plota os pontos obtidos com a DFT para o método de somatórios\n", "axs[0].scatter(dft_x_axis, np.abs(discrete_signal4), color = 'red', marker = 'o', label = 'DFT Matricial')\n", "# define os valores no eixo x, igualmente espaçados para a resolução do sinal x(e^(jw))\n", "axs[0].set_xlabel('Frequência (radianos)')\n", "axs[0].set_ylabel('$|X(e^{jw})|$')\n", "axs[0].set_title(f'Módulo da função FFT($\\delta(n-10)$) no domínio da frequência')\n", "axs[0].grid(True)\n", "axs[0].legend()\n", "\n", "# plotando o ângulo do sinal x(e^(jw))\n", "axs[1].plot(w, np.angle(x_impulse_shift(w, no = 10)), label = 'FFT')\n", "# define os valores no eixo x, igualmente espaçados para a resolução do sinal x(e^(jw))\n", "dft_x_axis = np.arange(0, np.max(w), (np.max(w) / len(discrete_signal3)))\n", "# plota os pontos obtidos com a DFT para o método de somatórios\n", "axs[1].scatter(dft_x_axis, np.angle(discrete_signal4), color = 'red', marker = 'o', label = 'DFT Matricial')\n", "# define os valores no eixo x, igualmente espaçados para a resolução do sinal x(e^(jw))\n", "axs[1].set_xlabel('Frequência (radianos)')\n", "axs[1].set_ylabel('$\\phi$')\n", "axs[1].set_title(f'Ângulo da função FFT($\\delta(n-10)$) no domínio da frequência')\n", "axs[1].grid(True)\n", "axs[1].legend()\n", "\n", "# adiciona um título geral para a figura\n", "fig.suptitle(f'N = {128}')\n", "\n", "# Ajustando o layout para evitar sobreposição\n", "plt.tight_layout()\n", "\n", "# Exibindo os gráficos\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Gráfico do Tempo de Cálculo para Diferentes Valores de N\n", "***" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "signal = [1,1,1,1,1,1,1,1]\n", "time_inference = list()\n", "for increase in range(len(signal), 1000):\n", " init_time = time.time()\n", " result = dft_matrix(signal, increase)\n", " final_time = time.time()\n", " time_inference.append((final_time - init_time) * 1000)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange(8, len(time_inference) + 8)\n", "y = time_inference\n", "grau = 3\n", "coeficientes = np.polyfit(x, y, grau)\n", "polinomio = np.poly1d(coeficientes)\n", "y_plot = polinomio(x)\n", "\n", "# Plotagem dos dados originais e da aproximação polinomial\n", "plt.plot(x, y, 'o', label='Tempo de Inferência para N')\n", "plt.plot(x, y_plot, label=f'Aproximação Polinomial (grau {grau})')\n", "plt.xlabel('N')\n", "plt.ylabel('Tempo (segundos)')\n", "plt.title('Gráfico o tempo de execução em função do tamanho da DFT (N)')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.11.2" } }, "nbformat": 4, "nbformat_minor": 2 }