{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 非带限信号的采样与重建" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "考虑如下的连续时间双边指数信号\n", "\n", "$$\n", "x_a(t) = e^{-A|t|} \\longleftrightarrow X_a(j\\Omega) = \\frac{2A}{A^2 + (\\Omega)^2}\n", "$$\n", "\n", "1. 求采样信号$x[n]=x_a(nT)$的频谱;\n", "2. 画出$T=1/3$s和$T=1$s 的信号$x_a(t)$和$x[n]$的波形及其频谱图;\n", "3. 画出用理想带限插值方法重建后的连续时间信号$\\\\hat x_a(t)$的波形;\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 分析采样信号频谱\n", "\n", "如果以采样频率$1/T$采样,得到\n", "\n", "$$\n", "x[n]=x_{a}(n T)=\\mathrm{e}^{-A T|n|}\n", "$$\n", "\n", "直接计算离散时间傅里叶变换,那么就很容易得到$x[n]$的频谱\n", "\n", "$$\n", "X(j\\Omega)=\\frac{1-a^{2}}{1-2 a \\cos \\left(\\Omega T\\right)+a^{2}}, \\quad a = \\mathrm{e}^{-A T}\n", "$$\n", "\n", "显然,$X(j\\\\Omega)$是周期函数。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 画出频谱图" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "% 模拟信号 x_a(t)\n", "A = 1; \n", "subplot(211)\n", "fplot(@(t)(exp(-A*abs(t))))\n", "axis([-5,5,0,1.1])\n", "title('x_a(t)')\n", "xlabel('t(s)')\n", "\n", "subplot(212)\n", "fplot(@(w)(2*A./(A.^2+w.^2)),[-8*pi 8*pi])\n", "axis([-8*pi 8*pi,0,2.2])\n", "title('X_a(j\\Omega)')\n", "xlabel('\\Omega(rad/s)')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "% t=1/3s 时,采样信号频谱\n", "A = 1; \n", "T = 1/3; \n", "a = exp(-A*T);\n", "t = -5:T:5;\n", "xn = exp(-A*abs(t));\n", "subplot(211)\n", "stem(t,xn,'o')\n", "axis([-5,5,0,1.1])\n", "title('x[n], with T=1/3 s')\n", "xlabel('t(s)')\n", "\n", "subplot(212);hold on; box on\n", "fplot(@(w)(T*(1-a^2)./(1-2*a*cos(w*T)+a^2)),[-8*pi 8*pi])\n", "fplot(@(w)(2*A./(A.^2+w.^2)),[-8*pi 8*pi])\n", "axis([-8*pi 8*pi,0,2.2])\n", "title('X(j\\Omega)')\n", "xlabel('\\Omega(rad/s)')\n", "legend('X(j\\Omega)','X_a(j\\Omega)')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "% t=1/3s 时,采样信号频谱\n", "A = 1; \n", "T = 1; \n", "a = exp(-A*T);\n", "t = -5:T:5;\n", "xn = exp(-A*abs(t));\n", "subplot(211)\n", "stem(t,xn,'o')\n", "axis([-5,5,0,1.1])\n", "title('x[n], with T=1 s')\n", "xlabel('t(s)')\n", "\n", "subplot(212),hold on\n", "fplot(@(w)(T*(1-a^2)./(1-2*a*cos(w*T)+a^2)),[-8*pi 8*pi])\n", "fplot(@(w)(2*A./(A.^2+w.^2)),[-8*pi 8*pi])\n", "box on\n", "axis([-8*pi 8*pi,0,2.2])\n", "% title('X(j\\Omega)')\n", "xlabel('\\Omega(rad/s)')\n", "legend('X(j\\Omega)','X_a(j\\Omega)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 理想带限插值方法重建" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. 当采样频率为 3 Hz 时" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "A = 1; \n", "T = 1/3; \n", "a = exp(-A*T);\n", "tn = -5:T:5;\n", "xn = exp(-A*abs(tn));\n", "\n", "xahat = 0;\n", "t = -5:0.001:5;\n", "sinc = @(t,n) (sin(pi/T*(t-n*T))/(pi/T)./(t-n*T));\n", "for i = 1:length(xn)\n", " xahat = xahat + xn(i)*sinc(t,round(tn(i)/T));\n", "end\n", "\n", "subplot(211)\n", "xat = @(t)(exp(-A*abs(t)));\n", "fplot(xat,'b')\n", "hold on;\n", "stem(tn,xn,'go')\n", "plot(t,xahat,'r')\n", "\n", "axis([-5,5,0,1.1])\n", "legend('Original','Sampled','Reconstructed')\n", "title('采样频率为 3Hz 时重建效果')\n", "\n", "subplot(212)\n", "error1 = abs(xat(t) - xahat);\n", "plot(t, error1);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2. 当采样频率为 1 Hz 时" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "A = 1; \n", "T = 1; \n", "a = exp(-A*T);\n", "tn = -5:T:5;\n", "xn = exp(-A*abs(tn));\n", "\n", "xahat = 0;\n", "t = -5:0.001:5;\n", "sinc = @(t,n) (sin(pi/T*(t-n*T))/(pi/T)./(t-n*T));\n", "for i = 1:length(xn)\n", " xahat = xahat + xn(i)*sinc(t,round(tn(i)/T));\n", "end\n", "\n", "subplot(211)\n", "xat = @(t)(exp(-A*abs(t)));\n", "fplot(xat,'b')\n", "hold on;\n", "stem(tn,xn,'go')\n", "plot(t,xahat,'r')\n", "\n", "axis([-5,5,0,1.1])\n", "legend('Original','Sampled','Reconstructed')\n", "title('采样频率为 1Hz 时重建')\n", "\n", "subplot(212)\n", "error2 = abs(xat(t) - xahat);\n", "plot(t, error2);" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "% Compare errors\n", "plot(t,error1,t,error2)\n", "legend('3Hz 采样重建误差','1Hz 采样重建误差')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "**Note:** 对于非带限信号来说,采样频率越高,重建误差越小。\n", "\n", "
\n" ] } ], "metadata": { "kernelspec": { "display_name": "Matlab", "language": "matlab", "name": "matlab" }, "language_info": { "codemirror_mode": "octave", "file_extension": ".m", "help_links": [ { "text": "MetaKernel Magics", "url": "https://metakernel.readthedocs.io/en/latest/source/README.html" } ], "mimetype": "text/x-octave", "name": "matlab", "version": "0.16.7" } }, "nbformat": 4, "nbformat_minor": 2 }