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master > master: nb - plotformatierung

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RD
2023-01-05 15:58:06 +01:00
parent b94b763cf1
commit 050dde99f6
2 changed files with 62 additions and 12 deletions
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35
notebooks/week-10.ipynb
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@@ -49,7 +49,7 @@
"u[8] = -0.7\n",
"u[58] = 1j * sqrt(2);\n",
"\n",
"display_signal(u, 'Beispiel eines Vektors als Signal dargestellt');"
"display_signal(u, 'Beispiel eines Vektors in $\\mathbb{C}^{100}$ als Signal über $\\{0,1,2,\\ldots,99\\}$ dargestellt');"
]
},
{
@@ -211,16 +211,33 @@
"# Anzeige der Lösung:\n",
"display_signal(u_guess, 'Geschätztes Signal');\n",
"\n",
"# Verifikation von Lösung:\n",
"print(dedent(\n",
"# Verifizierung der Lösung:\n",
"display_latex(\n",
" f'''\n",
" %error := ‖u_guess – u‖ / ‖u‖\n",
" = ‖F_n · (u_guess – u)‖ / ‖F_n · u‖\n",
" ... wieso?? [Stichwort: unitär]\n",
" = ‖F_n · u_guess – F_n · u‖ / ‖F_n · u‖\n",
" = {linalg.norm(F_n @ u_guess - F_mal_u)/linalg.norm(F_mal_u):.2%}\n",
" $$\n",
" \\\\begin{{array}}{{rcl}}\n",
" \\\\%\\\\text{{error}}\n",
" &\\colonequals\n",
" &\\\\dfrac{{\\\\|u_{{\\\\text{{guess}}}} - u\\\\|}}{{\\\\|u\\\\|}}\\\\\\\\\n",
" &=\n",
" &\\\\dfrac{{\n",
" \\\\|\\\\mathcal{{F}}_{{n}}\\\\,(u_{{\\\\text{{guess}}}} - u)\\\\|\n",
" }}{{\n",
" \\\\|\\\\mathcal{{F}}_{{n}}\\\\,u\\\\|\n",
" }}\n",
" \\\\quad\\\\text{{\\\\ldots wieso?? [Stichwort: unitär!]}}\\\\\\\\\n",
" &= &\\\\dfrac{{\n",
" \\\\|\\\\mathcal{{F}}_{{n}}\\\\,u_{{\\\\text{{guess}}}} - \\\\mathcal{{F}}_{{n}}\\\\,u\\\\|\n",
" }}{{\n",
" \\\\|\\\\mathcal{{F}}_{{n}}\\\\,u\\\\|\n",
" }}\\\\\\\\\n",
" &= &{linalg.norm(F_n @ u_guess - F_mal_u)/linalg.norm(F_mal_u):.2%}\n",
" \\\\%\n",
" \\\\\\\\\n",
" \\\\end{{array}}\n",
" $$\n",
" '''\n",
"));\n"
");\n"
]
}
],