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LaTeX format using Colab
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cerkut committed Aug 3, 2024
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48 changes: 26 additions & 22 deletions 03-Fourier-Transform/SPIS03.ipynb
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"colab_type": "text"
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"<a href=\"https://colab.research.google.com/github/SMC-AAU-CPH/SPIS/blob/main/03-Fourier-Transfom/SPIS03.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
"<a href=\"https://colab.research.google.com/github/SMC-AAU-CPH/SPIS/blob/main/03-Fourier-Transform/SPIS03.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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"source": [
"#### Example: DTFT of a window phasor\n",
"Let us look at the phasor\n",
"\n",
"\n",
"\\\n",
"$$\n",
" x_n = \\mathrm{e}^{j\\omega_0 n}\n",
"$$\n",
"which we observe for $n=0,1,\\ldots,N-1$.\n",
"\n",
"which we observe for \\$n=0,1,\\ldots,N-1$.\n",
"\n",
"The DTFT of this windowed phasor is (note that subscript $N$ in $X_N(\\omega)$ indicates the window length)\n",
"\\begin{align}\n",
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