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} }, "cell_type": "markdown", "metadata": {}, "source": [ "# 卷积和相关\n", "\n", "## 卷积\n", "\n", "两个序列卷积的定义\n", "\n", "$$\n", "y[n] = x[n] \\circledast h[n] \\triangleq \\sum_{k=-\\infty}^\\infty x[k] h[n-k]\n", "$$\n", "\n", "它的计算过程可以分解为如下四个步骤:\n", "1. 翻转\n", "2. 移位\n", "3. 相乘\n", "4. 求和\n", "\n", "\n", "![image.png](attachment:image.png)\n", "\n", "那么,可以根据定义编写如下卷积计算的Matlab函数。\n", "\n", "```matlab\n", "function conv_dsp(x,y)\n", "lx = length(x);\n", "ly = length(y);\n", "M = lx+ly-1;\n", "\n", "x = [flipud(x(:));zeros(M,1)]; % 翻转\n", "y = [y(:);zeros(lx-1,1)];\n", "\n", "z = zeros(M,1);\n", "\n", "for i = 1:M\n", " xshift = wshift('1d',x,-i); % 移位\n", " z(i) = sum(y.*xshift(lx+1:end)); %相乘求和\n", "end\n", "end\n", "```" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "x =\n", "\n", " 1 0 2 1 0 0 1\n", "\n", "\n", "y =\n", "\n", " 2 0 1\n", "\n", "\n", "z1 =\n", "\n", " 2\n", " 0\n", " 5\n", " 2\n", " 2\n", " 1\n", " 2\n", " 0\n", " 1\n", "\n", "\n", "z2 =\n", "\n", " 2\n", " 0\n", " 5\n", " 2\n", " 2\n", " 1\n", " 2\n", " 0\n", " 1\n", "\n" ] } ], "source": [ "x = [1,0,2,1,0,0,1]\n", "y = [2,0,1]\n", "z1 = conv_dsp(x,y)\n", "z2 = conv_dsp(y,x)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "手算卷积的话,直接通过公式实际上不是很方便,而且很容易出错。我们还可以通过表格法来计算卷积。表格法计算方法,主要分为下面\n", "若两个序列长度分别为$M$和$N$,那么\n", "\n", "1. 构造$M\\\\times N$的表格\n", "2. 将表格的两个方向的第一行和第一列分别填入对应序列的每个元素值\n", "3. 对应交叉位置相乘,将乘积填入表格中\n", "4. 将表格中反斜对角上的所有元素相加,分别就能得到对应位置卷积的结果\n", "\n", "例如序列$x[n]=\\\\{1,0,2,1,0,0,1\\\\}$和序列$y[n]=\\\\{2,0,1\\\\}$的卷积和按照表格法计算如下:\n", "\n", "![image1.png](attachment:image.png)\n", "\n", "经过求和之后,得到最后的卷积结果为\n", "\n", "$$\n", "x[n] \\circledast y[n] = [2,0,5,2,2,1,2,0,1]\n", "$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 卷积的性质\n", "\n", "与Dirac函数的卷积: \n", "\n", "$$x[n]\\circledast k\\delta[n+\\tau]=kx[n+\\tau]$$\n", "\n", "交换律: \n", "\n", "$$x[n]\\circledast h[n] = h[n] \\circledast x[n]$$\n", "\n", "结合律: \n", "\n", "$$x[n]\\circledast h_1[n] \\circledast h_2[n] =x[n] \\circledast (h_1[n]\\circledast h_2[n])$$\n", "\n", "分配律: \n", "\n", "$$x[n] \\circledast (h_1[n]+h_2[n])=x[n]\\circledast h_1[n] + x[n] \\circledast h_2[n] $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 卷积的物理意义\n", "\n", "1. 信号合成的角度(与Dirac序列卷积)\n", "\n", "2. 信号分析的角度(与特定信号卷积)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 相关\n", "\n", "对于两个序列$x[n],h[n]\\\\in \\\\mathbb{C}$\n", "\n", "1. 互相关序列\n", "\n", "$$r_{xh}[n] \\triangleq \\sum^{\\infty}_{k=-\\infty}x[k]h^*[{ k+n}] $$\n", "\n", "2. 自相关序列\n", "\n", "$$r_{x}[n] \\triangleq \\sum^{\\infty}_{k=-\\infty}x[k]x^*[{ k+n}]$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 卷积与相关的关系\n", "\n", "1. 相关运算\n", "\n", "$$z[n]=r_{xh}[n] = \\sum^{\\infty}_{k=-\\infty}x[k]h^{\\color{red} *}[n{\\color{red} +k}]$$\n", "\n", "2. 卷积运算\n", "\n", "$$y[n]=x[n]\\circledast h[n] = \\sum^{\\infty}_{k=-\\infty}x[k]h[n{\\color{red} -k}]$$\n", "\n", "**相似之处:**\n", "\n", "1. 卷积等于相关,但是是对$h[-n]$做相关;\n", "2. 当序列$h[n]$是共轭对称序列时,卷积与相关完全等价。\n", "\n", "**不同之处:**\n", "\n", "1. 卷积满足交换律,但是相关不满足;\n", "2. 卷积描述了LTI系统的行为,但是相关描述了两个信号之间的相似性。" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### 利用相关性\n", "\n", "利用rand产生一个均匀分布的随机信号,并加到一实指数序列$e^{-0.8 n}$上,计算此受干扰序列的自相关序列,证明受干扰序列的自相关序列在零延时处呈现一个尖峰。" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 50;\n", "n = 0:N-1;\n", "x = exp(-0.8*n);\n", "y = randn(1,N)+x;\n", "n1 = length(x)-1;\n", "r = conv(y,fliplr(y)); % 利用卷积计算相关,这里需要将第二个参数翻转。\n", "k = (-n1):n1;\n", "stem(k,r);\n", "xlabel('Lag index');ylabel('Amplitude');\n", "gtext('r_{yy}[n]');" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "hide_input": false, "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 }