diff --git a/module3/exo3/exercice_fr.ipynb b/module3/exo3/exercice_fr.ipynb index b8138be1360203865f61012cee1a3799f853a949..0d44c209728819eaafecd855fc9af53c127be489 100644 --- a/module3/exo3/exercice_fr.ipynb +++ b/module3/exo3/exercice_fr.ipynb @@ -1304,7 +1304,7 @@ "source": [ "## Composante lente\n", "\n", - "on considère un polynôme de la forme $C(t) = a + b t + c t^2$. Nous allons appliquer une régression linéaire (grâce à [`np.linalg.lstsq`](https://numpy.org/doc/stable/reference/generated/numpy.linalg.lstsq.html))\n", + "on considère un polynôme de la forme $C(t) = a + b t + c t^2 + d t^3$. Nous allons appliquer une régression linéaire (grâce à [`np.linalg.lstsq`](https://numpy.org/doc/stable/reference/generated/numpy.linalg.lstsq.html))\n", "\n", "Commençons par récupérer les tableaux numpy" ] @@ -1362,18 +1362,18 @@ "name": "stdout", "output_type": "stream", "text": [ - "[[1.00000000e+00 0.00000000e+00 0.00000000e+00]\n", - " [1.00000000e+00 8.50000000e-02 7.22500000e-03]\n", - " [1.00000000e+00 1.67200000e-01 2.79558400e-02]\n", + "[[1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n", + " [1.00000000e+00 8.50000000e-02 7.22500000e-03 6.14125000e-04]\n", + " [1.00000000e+00 1.67200000e-01 2.79558400e-02 4.67421645e-03]\n", " ...\n", - " [1.00000000e+00 6.62536000e+01 4.38953951e+03]\n", - " [1.00000000e+00 6.63356000e+01 4.40041183e+03]\n", - " [1.00000000e+00 6.64203000e+01 4.41165625e+03]]\n" + " [1.00000000e+00 6.62536000e+01 4.38953951e+03 2.90822795e+05]\n", + " [1.00000000e+00 6.63356000e+01 4.40041183e+03 2.91903959e+05]\n", + " [1.00000000e+00 6.64203000e+01 4.41165625e+03 2.93023532e+05]]\n" ] } ], "source": [ - "A = np.column_stack([temps**0,temps, temps**2])\n", + "A = np.column_stack([temps**0,temps, temps**2, temps**3])\n", "print(A)" ] }, @@ -1393,13 +1393,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "Estimation des coefficients de la régression: a = 314.830 ppm, b = 0.734 ppm/annee, c = 0.014 ppm/annee^2 \n" + "Estimation des coefficients de la régression: a = 314.165 ppm, b = 0.853 ppm/annee, c = 0.009 ppm/annee^2 \n" ] } ], "source": [ "param = np.linalg.lstsq(A,CO2,rcond=None)\n", - "a,b,c = param[0] \n", + "a,b,c, d = param[0] \n", "print(f\"Estimation des coefficients de la régression: a = {a:.3f} ppm, b = {b:.3f} ppm/annee, c = {c:.3f} ppm/annee^2 \" )" ] }, @@ -1417,7 +1417,7 @@ "outputs": [], "source": [ "def CO2_comp_lente(t):\n", - " return a + b*t + c*t**2" + " return a + b*t + c*t**2 + d*t**3" ] }, { @@ -1461,7 +1461,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", "text/plain": [ "
" ] @@ -1532,9 +1532,21 @@ "cell_type": "code", "execution_count": 18, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "0.08489999999983411" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "delta_T = temps[1] - temps[0]" + "delta_T = temps[5] - temps[4]\n", + "delta_T" ] }, { @@ -1546,7 +1558,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -1555,13 +1567,13 @@ "Text(0.5,0,'Fréquence (Année$^{-1}$)')" ] }, - "execution_count": 20, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -1593,11 +1605,11 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ - "borne_inf_1 = np.nonzero(fourier_freq > 0.8)[0][0]\n", + "borne_inf = np.nonzero(fourier_freq > 0.8)[0][0]\n", "borne_milieu = np.nonzero(fourier_freq < 1.5)[0][-1]\n", "\n", "borne_sup = np.nonzero(fourier_freq < 2.5)[0][-1]" @@ -1607,27 +1619,34 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Nous pouvons alors afficher le graphe de la FFT entre ces deux bornes" + "Et enfin identifier précisément la fréquence autour de 1 Année$^{-1}$" ] }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 22, "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "La fréquence d'oscillation est située à: 0.984 Année^-1\n" + ] + }, { "data": { "text/plain": [ - "Text(0.5,0,'Fréquence (Année$^{-1}$)')" + "" ] }, - "execution_count": 50, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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zc59GprxqYd4++qXGMSnHP/MpXd1Q2rJQyhra6o9wVZbN80cgynd2l1azoqCMX581BBHfzNg+UXREGJHhomMWSllEW91Q7zt/L/BfOMoX3lhdSJjAxeP7+O2cIkJiTKSuaaGURbTVDfU+LRQQdDHGXOCTiJRX2ZsMb64pZMbgdHp1j/XruRNidLU8payirW6oB/0WhfKZr3aUUlRRxx9mD/f7uRNjdQEkpayirW6oL123RSQKGIqjpbHVGNPgh9iUFyzM20dSXCQ/GO6bUuRt0QWQlLIOtzO4RWQ2sBN4DHgc2CEi5/g6MNV55TUNfLbxEBeO7UN0RLjfz69lypWyDk8LCc4yxuwAEJEBwH+Ajzp7chHZjWOSnx2wGWNyRSQF+DfQD9gNXG6MOdLZc3VF7649QIO9ictz+wbk/NqyUMo6PKkNVexKFE67gGIvxjDLGDPWGONaZOm3wGJjzCBgsfO+6oCFefsY2SeR4b0TA3L+xBgds1DKKjxJFhtF5EMRuUFErgfeB1aJyMUn1IzyljmA63LdBcCFPjiH5W3YX8HGA0e5bEJgWhUACTGR1DTYsdmbAhaDUso7PEkWMcAh4DRgJlCCY1nV83HUjuoMA3wqIqtFZJ5zW4YxpgjA+dv/I7MW8MbqQqLCw5gz1vdFA1uTGKv1oZSyCrdjFsaYG314/mnGmAMi0gP4TES2ePpEZ3KZB5CVleWr+EJSTYONd9bu54cjMkiKiwpYHAkx35f8SI4PXBxKqc7zZFnVHOBnOAacj+3vjUl5xpgDzt/FIvI2MAk4JCK9jDFFItKLVsZHjDFPA08D5Obm6kLPzfz1k62U1zRy47R+AY3DVXm2Qq+IUirkeXI11DvAczjGKrzW+Swi8UCYMabSefuHwD3Ae8D1wP3O3+9665xdwardZby4fDfXn5LNhGz/FA1sTXZqPADbDlUyKrN7QGNRSnWOJ8mizhjzmA/OnQG87SxsFwG8Yoz5WERWAQtF5GZgL3CZD85tSbUNdu58I5/M5FjuPHtooMNhUI9uJERHsGbvES7xU2l0pZRveJIsHhWRu4FPgXrXRmPMms6c2Lmu95gWth8GzujMsbuqhz7dSkFpNa/8aDLxfljgyJ2wMGFsVhKr9+g0GaVCnSefKKOAucDpfN8NZZz3VZBYvaeM574u4NopWUwdmBbocI6ZkJ3Mo4u3U1nXeGzAWykVejxJFhcB/bUeVPCqa7Tz69fz6d09lt+eMyzQ4RxnfFYyxsC6fRVMHxQ8SUwp1T6ezLNYh2MdbhWkHv5sG7tKq3ng0tF+WV+7PcZmJSGCdkUpFeI8+WTJALY4B55dYxbGGDPHd2EpT63ec4Rnl+3i6slZTAui7ieXxJhIBvdIYM1eTRZKhTJPksXdzW4LMB04aU1u5X91jXbufGMdPRNjuOucwF/91Jrx2cl8kH+ApiZDWJh/lnVVSnmX224o57oWFcBs4EUcVyo96duwlCceXbydnSXV3H/J6KAePJ6QnUxlnY0dJVWBDkUp1UFtLas6GLgSRyviMI6y4WKMmeWn2FQbjDG8/O0eZo/uxYzB6YEOp03jsxxDXmv2HGFwRkKAo1FKdURbLYstOFoR5xtjphtj/o5j3QkVBPaW1XC0zsb0IBynOFFOWjzJcZE6yK2C0oHyWozRikHutJUsLgEOAl+IyDMicgaOMQsVBPILKwAY1Sf4y2iICBOyk1mtg9wqyDz/VQFT7/+c+z7cHOhQgl6rycIY87Yx5goca28vAX4JZIjIEyLyQz/Fp1qxYX8FUeFhIdOtMy4rmV0l1Ryp1uk6Kji8ubqQez7YRO/uMTyzrICnl+4MdEhBzZMB7mpjzMvGmPOATGAtunpdwOUXVjCsVwJREZ5MlQm8CdnJAHy3T1sXKvAWbTrEnW/mM21gKp//aiazR/Xivg+38NaawkCHFrTa9UljjCkzxjxljNFSHwHU1GTYsL+CkSHQBeUyJjOJ8DBhzZ7yQIeiurgVuw5z2ytrGNk7kafm5hITGc7DV4xh6oBU7nwjnyVbvblqtHWExtdSdZw9ZTVU1tsYHUJlv2OjwhneK1EHuVVAbdhfwY8W5JGZHMsLN046VvEgOiKcp+ZOYHBGArf+aw1r9+mXmhNpsghB+YWOP+RRfUKrCsuE7GTW7ivXNblVQBSUVnPDCytJiIngnzdPJuWE1RsTYiJ58aaJpCVEcdOLq9ip84KOo8kiBK0vrCAqIoxBGd0CHUq7jMtKorbRzpaDlYEORXUxByvquPbZFTQZ+OePJtM7KbbF/XokxPDSTZMR4LrnVnLoaJ1/Aw1imixC0Pr9FQzvlUhkeGj987kGubVOlPKnRnsTN7ywkvKaBhbcOIkB6W1/ycpJi+eFGydypKaB659fSW2DTi8DTRYhp6nJsPHA0ZAar3DpkxRLRmI0a3TcQvnRqyv3suVgJQ9dPtbj5X1HZybxj2vGs+VgJQ98ssXHEYYGTRYhpuBwNVX1tpC6EspFRBifpZPzlP9U1jXy6KLtTOmfwlkjMtr13FlDenDD1H688PVulu8s9VGEoUOTRYhZ75y5HYotC3B0Re0rq6W4UvuCle89+eVODlc38LtzhyHS/gIUvzl7KDlp8fz69Xwq6xp9EGHo0GQRYvILK4iJDGOgm37XYDXeNW6h8y2UjxVV1PLssgIuGNOb0Zkdu3IwNiqcBy8bTVFFLff+p2uXBNFkEWI2OAe3I0JscNtlRO9EosLDdJBb+dzDn27DGPj1WUM6dZwJ2SnMmzGA11bt44stXXfCXmh+4nRR9ibDhgMVHf6WFAyiI8IZldldB7mVT20uOsobawq5fmo2fVPiOn28X545iCEZCfzmzXzKa7pmfTNNFiFkV0kVNQ32kBzcbm58VhL5+yuot+klie5U19v4wzvr2bC/ItChhJT/+2gLiTGR3D5rkFeOFx0RzkOXj6GsuoG739volWOGGk0WIWT9/tAe3HaZkJ1Mg62JjQeOBjqUoPfgp1v517d7ueGFlewrqwl0OCFh2fYSlm4r4WenD6R7nPdWkBzZpzs/P2MQ7649wIfri7x23FChySKE5BdWEBsZ7nZSUbAbn+Ua5NauqLas2XuEF5fv5uwRPWmwNXHji6uoqOnaV+S4Y28y3PfhFjKTY5l7SrbXj3/rzAGMzuzO799eT0llvdePH8yCNlmIyNkislVEdoiIlkTHMbg9onci4WGhvQZVj8QYMpNjdZC7DfU2O795I59eiTE8ePkYnr4ulz2Hq/nJv1bTYNPaWq1557v9bC46yq/PGkJ0RLjXjx8ZHsZDl42husHOFU99wx2vfcf9H23hpW9289mmQ2zYX0FZdUO7V96rabDx7a7DbD9USVW9zetxe0Ora3AHkoiEA/8AzgQKgVUi8p4xZlNgIwscm93RbXPlpL6BDsUrJmQn883OwzQ1GcJCPPn5wvwvdrK9uIoXbphIt+gIpvRP5YFLR/PLf6/jt2/l89BlYzo0byCUFZRWs2RrMQWl1WSlxNE/PZ6ctG70TY4lIjyMukY7D326ldGZ3Tl/dG+fxTEoI4G/XT6WBd/sZs3eIxysKKLRfnxyGJzRjasnZXHR+Ey6x7beFXawoo4F3+zmlRV7qaj9vtWYEB1Br6QYenWPpVf3GMb0TeKyCZkBvQoyKJMFMAnYYYzZBSAirwFzgC6bLHaWVFPbaA+JZVQ98YNhGby79gAfbzzIuaN6BTqcoLLtUCXzl+xgztjezBra49j2i8Zlsq+sloc/20ZWShy/+MHgAEbpe3WNdr7ddZglW0tYsrWY3YcdYzbxUeFUN6vXFBEmZKXGER8VwYGKOh6+YqzPv4DMHt2L2aMdf7dNTYbS6nqKyusoqqhlb1kNH+QX8af3N3H/x1u4YExvrpmczZi+31/FuL6wgue+2sUH+UXYjeGHwzO4ZHwmtY12iirqKCqvdfyuqGPD/gpeW7WPBct38+cLRzKxX4pPX1trgjVZ9AH2NbtfCEwOUCxBwSqD2y7njurF3xZt47HF2zl7RE9tXTjZmwx3vpFPt+gI/nje8JMe/9npA9lbVsMji7aTmRzHpRMyAxClb5RVN5BfWM76wgpW7z3Ct7sOU9fYRHREGFMHpHLT9BxmDu5BVmocR6ob2FVaza6SKgpKqykorWZXSTVXTcpiSv9Uv8YdFib0SIihR0LMsYQwb8YA8gvLeWXFXt5de4CFeYWM7JPI7FG9+WJrMSsLyoiPCmfuKdncODWHrNTWL+81xvDJxkP8+YNNXPbkN1w8vg93nTOM9IRof71EIHiTRUufHMe180RkHjAPICsryx8xBdT6wnLio8LJSQvtwW2X8DDh56cP4hf/XssnGw9yjrYuAFiwfDdr95XzyBVjSe128oeBiHDfRaMoqqjlrrfy6Z0Uw9QBaQGItPM2Fx1lydYS1u8vZ92+CvaX1wIgAv3T4rlyYhYzh6QzpX8qMZHHjz8kx0cxIT7qWCXjYDQ6M4nRmUn8bvYw3v1uP//6di9/+XgLfZJi+cPsYVw+sS+JMe6v1hIRzh7ZkxmD0/jHFzt4eukuPtt0iP8+czDXTsn2W9eUtHcgxh9E5BTgT8aYs5z37wIwxvxfS/vn5uaavLw8P0bofxfN/5rIsDAW/uSUQIfiNfYmw5kPf0lURBgf/vzULt+62FdWww//tpTJ/VN44YaJbY5JVNQ2ctmTyymqqOPTX86gV/eW12cIVoVHapj14BIa7YaslDhGZXZnTGZ3RvVJYmSfRBI8+BANNcYY9pXV0jspplMf8LtKqrj7vY0s217KsF6J/O+FI5iQ3bGuKRFZbYzJ9WTfYL0aahUwSERyRCQKuBJ4L8AxBYzN3sSmA0c9Lq8cKsLDhJ+fMYgtByv5dNPBQIcTUMYYfvf2esIE7r1olNvB6+6xkTx73UQabE385aPQK6H9/Fe7aTLwxa9msvTOWfzj6vHMmzGAUwakWjJRgKOFkJUa1+mWQP/0brx00ySeuGY85TUNPP/1bu8E6EZQJgtjjA24HfgE2AwsNMZ0zWmTwPbiKuptTZYZr2ju/DG96Z8WzyOLttPUFHytXH95a81+lm0v5c6zh9KnlVXcTpSVGse8Gf15Z+0BVu8p83GE3lNR08hrq/Zy/uhe5KTFBzqckCQinDOqF4v+6zT+PGekX84ZlMkCwBjzoTFmsDFmgDHm3kDHE0iusuShXuajJeFhws/OGOhsXRwKdDgB0dRkeOCTLYzPSmLulPZNJLt15gB6Jsbw/97fFDLJ9pWVe6lpsHPLjP6BDiXkxUdHnLSWuK8EbbJQ31u/v4Ju0RHkpFrzW9j5o3uTkxbPo4u7Zutiw4EKDh2t59op2e0et4mLiuA35wwhv7CCt77b76MIvafB1sQLXxcwfWAaI3pb78uPlWmyCAH5zpnbVh0AjggP42enD2Rz0VE+29z1WhefbylGBGYO6eF+5xbMGdOHcVlJ/OXjLW5n/5bXNHDZk8u547XvsAcgMb+37gDFlfXaqghBmiyCXKO9ic1FobnmdntcMMbZuli0vd2lEkLd51uKGZ+V3OHuhLAw4e7zR1BSWc/8L3a0ul95TQPXPreCNXvLeXftAf747ga/vtfGGJ5ZuoshGQnMGBSal/t2ZZosgty2Q5U02JoYFcJrWHgiIjyM22cNZFPRUT7rQmMXxUfryC+s4PShHWtVuIztm8TF4/vw7LIC9h4+uTptRU0jc59bybaDVTx7fS4/OW0AL6/Yy+Oft55cvO3LbSVsPVTJLTP6d7lSJVagySII1DXaWbTpEF9uK2H1niNsPVhJ4ZEaymsa+G6vY/lRq5T5aMucsb3plxrHo4u7Tuvii62Oldc6myzAsV50RLhw34fHL/9ZUdvI3OdXsPVgJU/NncCsIT2486whXDSuDw99to2FeftaOaJ3PbNsFxmJ0Vwwxnd1m5TvBOsM7i5l/pKdPLZ4e6uPJ8REkO2F1b6CXUR4GLefPohfvb6ORZuLOXN4RqBD8rnFm4vp3T2GoT0TOn2sjMQYbps1kL9+spXlO0qZOjCNitpGrntuBZuLjvLktROO1ZoKCxP+csloSqvqueut9aR3iz6uDpW3bdhfwdc7DvPbc4YSFaHfUUORJosAq6q38eLkN/BWAAAUp0lEQVTXBcwcks5tswZSVW+j+tiPnep6G0N7WXdw+0QXju3N459v53dvrye1W9SxtS+sqN5m56sdpVw8vo/XumVunp7Dqyv3cs8Hm3ht3hSuf2EVm4qO8sQ1Ezhj2PHJNyoijCeuncAVT33DT19ew6vzpjC278ndnU1NhrWF5eTvK2dQRgKjM7u3e+Lcs8t2ER8VzlWTrF+ax6q6fLKoabARFxW4t+HVFXs5WmfjFz8Y3OJ/1K4mIjyMp+bm8qOXVnHlU99y70UjuSzXGmXZT7RiVxk1DXbOGOq9FlRMZDi/P3cYt768hh88vJSK2gbmXzOBH7TSSusWHcELN07kkieWc9OLq3jz1qnkpMVT02Djq+2lLN5czOItxZRWfb/QjwgM6tGNcX2TGZuVxLisJAb1SGh1nZUD5bW8n1/EDVP7tVmuWwW3Lp0sdpZUcfH85cyb0Z+bp+ecVKzM1+ptdp79ahdTB6RqomhmSM8E3rttOre9soZfv5HPpqKj/P7cYQGt5e8Ln28pJiYyjFMGeLdK6tkjezKlfwp5u4/wj2vGu+3O65EQw4IbJ3HJE8u57vkVDO6RwFc7Sqm3NZEQHcFpQ9I5c3gGE7KT2VVSzXd7y1m77wifbDrIv53jHclxkcwZ24crJvZlWK/E447//FcFANw4rZ9XX6fyry6dLKIjwpick8JfP9nKa6v28vtzh3PWiAy/Xanx1pr9HDpaz0OXjfXL+UJJcnwUL900iXs/3MwLX+9m26FKHr9qPMl+mq3qa8YYFm85xLQBaV7/kiIiPH1dLsVH6xnYw7Mqxf3Tu/H8DRO59tkVbDWVXDUpizOHZzCxX8pxYwyZyXHMGJx+7DXsOVzDd/uOsGhzMa+s2MuLy3czOrM7l+f25YKxvTEGXl25l9mjepGZbP1xNysLyqqz7dXZqrNfbS/lng82su1QFVMHpPLH84cztGei+yd2gr3JcMZDS0iIieS926fppYRteD1vH79/ewMZ3aN55rpcn//b+MP2Q5Wc+bel3HvRSK6Z7P21ojuqrtFOdERYh/4ey6obeOe7/SzM28eWg5VER4QxOCOB9fsr+OBn0y1ZribUWaHqrF9NH5TGhz8/lT/PGcGmoqOc++gy/uedDRypbvDZOT/aUMTuwzX8dOYATRRuXJbbl9d+PIX6xiYunr+cVbtDp2heaz7f4r1LZr0pJjK8w3+PKfFR3DQ9h4/uOJV3b5vGpRMy2V1azawh6ZooLEBbFicor2ngkUXb+ee3e4iPCuf20wdy3Sn9vNpVYIxh9mNfUWezs+iXp3WZK50669DROs55dBkzBqXxyJXjAh1Op1z+1DdU1dn48I5TAx2KTzXYmggTLDfeZBXasuiEpLgo/nTBCD6641QmZCdz34dbOOOhL3lrTaHXitx9ua2ETUVH+clpAzRRtENGYgynDEhlRUFZSE/aK69pYPWeI0HXqvCFqIgwTRQWof+KrRickcALN07ilVsmkxIfxX8tXMfsv3/F0m0lnT72E0t20qt7DBeO7eOFSLuWyTkpFFXUUXikNtChdNiX20qwNxlOH2b9ZKGsQ5OFG1MHpPHubdN47KpxVNU3ct3zK7n22RVsOXi0Q8dbvecIKwrK+NGp/XUmawdMynEsH7myIHTHLb7YUkxqfBRjLF7vS1mLflp5ICxMuGBMbxb912n88bzhbDxQweVPfkPhkZMLtrnzxJIdJMVFctUka04087XBPRLoHhsZssnCZm9iybYSZg7p0eokNqWCkSaLdoiOCOem6Tm8c9s0mgzc8dpabPYmj5+/9WAlizYXc8PUfgGdNR7KwsKEif1SWBmiV0R9t6+c8prGLjFeoaxFk0UHZKfGc9/Fo1i95wiPLGq9AOCJnvxyJ3FR4dwwtZ/vgusCJuekUFBaTfHRukCH0m6LNxcTESacOljXc1ChRZNFB10wpjdX5PblH0t28PWOUrf7f77lEO+tO8DVk7JIirPGLORAOTZuEYKti8+3HGJSTgqJ7SzEp1SgabLohLsvGM6A9G784t9rjyu0dqJ/fruHHy3IY3ivRG6bNdCPEVrTiN6JxEWFh9y4xb6yGrYdqtIuKBWSNFl0QlxUBI9fPY6K2kb+e+G6k+ZhNDUZ7vtwM//zzgZmDenBa/OmWKa2USBFhIcxITs55JLFJxsPApxUKlypUKDJopOG9kzkj+cN58ttJTz71a5j2+sa7dz+6hqeXrqLuVOyeWruBOKjdVDbWybnpLDlYCXlNb4ryeIt+YXlzHspj//9z2ZG9E4kJy0+0CEp1W766eUF10zO4usdpTzw8VYm5aSSlRLHLS/lsXrPEX5/7jB+dGqO1n/yskk5jrLeq3YfCdoV9VbtLuPvn+9g6bYSEmMi+PkZg7hJy3SrEKXJwgtEhPsvHk1+4TJuf2UNEWHCgYo65l8znnNH9Qp0eJY0OrM7URFhrCw4HFTJwhjDVztKefzzHawoKCM1Poo7zx7C3CnZ7V5dTqlgEpBuKBH5k4jsF5G1zp9zmz12l4jsEJGtInJWIOLriO5xkTx21TiKKuqoqG3k1Vsma6LwoZjIcMb2TQq6cYtnlu1i7nMr2XO4hj+eN5yvfnM6P505UBOFCnmBbFn8zRjzYPMNIjIcuBIYAfQGFonIYGOMPRABtteE7GRe/8kp9EyMoXdSbKDDsbzJOSnMX7KTqnob3YJgPGjboUoe/GQbPxyewd+vHkd0hH9XXlTKl4JtgHsO8Joxpt4YUwDsACYFOKZ2GZ+VrInCTyblpGBvMqzecyTQoWCzN/Hr19fRLSaC+y4epYlCWU4gk8XtIpIvIs+LSLJzWx9gX7N9Cp3blDrJ+KxkwsOElQWHAx0KTy/bxbrCCu6ZM4K0btGBDkcpr/NZshCRRSKyoYWfOcATwABgLFAEPOR6WguHanHhAhGZJyJ5IpJXUtL5suEq9MRHRzCyT/eAj1tsO1TJI59t59xRPTlvdO+AxqKUr/iso9cY8wNP9hORZ4APnHcLgeblWDOBA60c/2ngaXCslNfxSFUom5KTwgtf76au0e7V1Qw9ZbM38Stn99M9c0b6/fxK+UugroZqfpnQRcAG5+33gCtFJFpEcoBBwEp/x6dCx6ScFBrsTazdVx6Q8z+1dBf5hRX8ec5I7X5SlhaoS0geEJGxOLqYdgM/BjDGbBSRhcAmwAbcFipXQqnAyM1OQcSxGNKU/ql+PffWg5U8umg7s0f1YvZovUxaWVtAkoUxZm4bj90L3OvHcFQI6x4XydCeiX4ft7DZm/j1G+tIiIngnjkj/HpupQIh2C6dVardJueksHrPERrbsRBVZx3rfrpwJKna/aS6AE0WKuRNykmhttHOhv0VfjnftkPO7qfRvXSWvuoyNFmokDexn3MxJD90RbmufkqIieCeC7T7SXUdmixUyEtPiKZ/erxfkoV2P6muSpOFsoTJOSms3F2Gvcl3U26OdT+N0u4n1fVoslCWMCknhco6Gy98XUCDzfsD3c0n3/0/vfpJdUGaLJQlnDEsg/FZSfzvfzYz68El/OvbPdTbvDdF5+llOvlOdW2aLJQlJMZE8uatU1lw0yQyEqP5wzsbOO2BJSxY7igF0hnbm9V+0sl3qqvSZKEsQ0Q4bXA6b946lX/dPJm+KbHc/d5GZjzwBf/8ZjfGtH88Q2s/KeUQ+BVjlPIyEWH6oDSmDUzlm12HeWTRdv7n3Y3k7TnCA5eObtdaE88sK2BdYQWPXz1Ou59Ul6bJQlmWiDB1QBqn9E9l/pKd/PWTrRSV1/HU3Akkx0e5ff72Q5X87bNtnDOyJ7P16ifVxWk3lLI8EeG2WQP5+1XjWFtYzsVPLKegtLrV/Y0xLN1Wwk9fXkN8dDj3zBmJSEtLrSjVdWiyUF3G+WN68+otk6mobeSi+V+fNInP3mT4IP8A5/39K657fiWVdTYeuXIc6Qna/aSUdGTQL9jk5uaavLy8QIehQsSew9Xc+OIqCstq+etlozl7ZE/eXL2fp5fuZPfhGvqnxfOT0wZw4bg+REXo9yllXSKy2hiT69G+mixUV1Re08CP/7maFQVlpMRHUVbdwKg+3fnpzAH8cERPwsO020lZX3uShQ5wqy4pKS6Kf948mT+9v5H9R2q55dT+TBuYqmMTSrVCk4XqsqIiwrjvolGBDkOpkKAdskoppdzSZKGUUsotTRZKKaXc0mShlFLKLU0WSiml3NJkoZRSyi1NFkoppdzSZKGUUsotS5T7EJESYE8HnpoGlHo5HF/TmP0nFOMOxZghNOMOxZjh+LizjTHpnjzJEsmio0Qkz9O6KMFCY/afUIw7FGOG0Iw7FGOGjset3VBKKaXc0mShlFLKra6eLJ4OdAAdoDH7TyjGHYoxQ2jGHYoxQwfj7tJjFkoppTzT1VsWSimlPGD5ZCEiZ4vIVhHZISK/beHx7iLyvoisE5GNInJjIOI8kQdxJ4vI2yKSLyIrRWRkIOI8IabnRaRYRDa08riIyGPO15QvIuP9HWMLMbmLeaiIfCMi9SLyK3/H1xIPYr7G+f7mi8hyERnj7xhb4kHcc5wxrxWRPBGZ7u8YW4ipzZib7TdRROwicqm/YmuLB+/1TBGpcL7Xa0Xkj24Paoyx7A8QDuwE+gNRwDpg+An7/A74i/N2OlAGRIVA3H8F7nbeHgosDoL3ewYwHtjQyuPnAh8BAkwBVoRAzD2AicC9wK8CHa+HMU8Fkp23zwmG99nDuLvxfdf4aGBLsMfs3Ccc+Bz4ELg00DF7+F7PBD5ozzGt3rKYBOwwxuwyxjQArwFzTtjHAAniWE+zG45kYfNvmCfxJO7hwGIAY8wWoJ+IZPg3zOMZY5bieP9aMwd4yTh8CySJSC//RNcydzEbY4qNMauARv9F1TYPYl5ujDnivPstkOmXwNzwIO4q4/wkA+Jx/N8MKA/+pgF+BrwJFPs+Is94GHe7WD1Z9AH2Nbtf6NzW3OPAMOAAsB64wxjT5J/wWuVJ3OuAiwFEZBKQTZB8KLTBk9elvOtmHK25kCAiF4nIFuA/wE2BjscdEekDXAQ8GehYOuAUZ/f7RyIywt3OVk8W0sK2E7+tnAWsBXoDY4HHRSTR14G54Unc9wPJIrIWxzeb7wh8i8gdT16X8hIRmYUjWfwm0LF4yhjztjFmKHAh8OdAx+OBR4DfGGPsgQ6kndbgKPUxBvg78I67J0T4PKTAKgT6NrufiaMF0dyNwP3O5u8OESnAMQaw0j8htsht3MaYozhix9mFVuD8CWae/HsoLxCR0cCzwDnGmMOBjqe9jDFLRWSAiKQZY4K5/lIu8JrjvyBpwLkiYjPGuP3wDSTn54fr9ociMt/de231lsUqYJCI5IhIFHAl8N4J++wFzgBw9vkPAXb5NcqTuY1bRJKcjwH8CFja/A8gSL0HXOe8KmoKUGGMKQp0UFYjIlnAW8BcY8y2QMfjKREZ6Pzig/NKuSggqBOdMSbHGNPPGNMPeAP4abAnCgAR6dnsvZ6EIxe0+V5bumVhjLGJyO3AJziuWHjeGLNRRH7ifPxJHE3dF0VkPY5ukt8E+puMh3EPA14SETuwCUd3Q0CJyKs4rrJIE5FC4G4gEo7F/CGOK6J2ADU4W0aB5C5mEekJ5AGJQJOI/ALHlWkBS8wevM9/BFKB+c7PA5sJgoJ3HsR9CY4vE41ALXBFswHvgPAg5qDkQdyXAreKiA3He32lu/daZ3ArpZRyy+rdUEoppbxAk4VSSim3NFkopZRyS5OFUkoptzRZKKWUckuThVJKKbc0WSillHJLk4UKaSIyTURODXQcwaYz74uI9BeR50TkDW/HpUKXJgsVdJyLyKxt9tOvlf3G4ZgF/q0/4+ssEYkVkS9FJNx5/yIRMSIy1EvH79T74iyNf1xFABGJEpGlImLpqg+qdTqDWwUdEakyxnRr5THB8Xcb6DLyHSYitwERxphHnfcXAr1wLGD1Jz/GMQr4vxM232SMKXY+/oYx5tJm+9+NY52Vl/0Vowoe2rJQQU9E+onIZhGZj6O0cl8RuVYcy8muFZGnXN/Snfv/XhxL0i4SkVdF5FfOY2xots+vRORPztsnHavZOZ8Rx3K7n4pIbLPnXyeOJUDXicg/WztOKy/pGuBd53O6AdNw1Pa6soXXfNL53TzWYgwtbTfGrDfGnHfCT1sL+LzjjF11QZosVDCKbdYF9bZz2xAcq+yNA+KAK4BpxpixgB3nh5iITMDxoTsOx+JQE9s6kYgMa+1YwCDgH8aYEUA5jkJ3iGOhmN8DpzvXA7jDzXGany8K6G+M2e3cdCHwsbM6bJkcvy55i+dv7bHWYvA0tmYxporIk8A4Ebmr2UMbcPN+KuvS/kcVjGqdH2qA45s0sMe5FCs4SspPAFY5q6rG8v2SlqcCbxtjapzPPbEk/YlaO9ZSoMAYs9a532qgn/P26cAbrurExpgyEbm6jZiaS8Px4e5yFY4FdMCxfO5VOFpPtHH+1h5LaiWGRA9jw/l6DgM/aWG7XUQaRCTBGFPZ2vOVNWmyUKGiutltARYYY+5qZd+WBuJsHN+SjmnrWM4EVd9skx3Hh6zrOSeew11MLrWuc4tIKo7EM1JEDI5y9EZE7nTu29r5W3ustdfyMw9j80Q0UOeF46gQo91QKhQtBi4VkR4AIpIiItnOx5YCFzmvOEoAznduPwT0cHaxRAPneXCsts5/ufPDHhFJ8fQ4xpgjQLiIxOBYU+AlY0y2cwGdvjhWO5ze/rekzdfSkdd4EufrLTHGNHYwPhXCNFmokGOM2QT8AfhURPKBz3BcTYQxZg3wbxzrqr8JLHNubwTuAVYAHwBb3B2rjfNvBO4FvhSRdcDD7TzOpzgSwlXA2yc89iZwtUdvxMlxtRhDR15jK2bhWMBKdUF66ayyNOcVT1XGmAcDHYuLOOZB/JcxZm6gY2kPEXkLuMsYszXQsSj/05aFUn5mjPkO+KKNS2uDjvMqrnc0UXRd2rJQSinllrYslFJKuaXJQimllFuaLJRSSrmlyUIppZRbmiyUUkq5pclCKaWUW5oslFJKuaXJQimllFuaLJRSSrn1/wE/RaNDF8RkpgAAAABJRU5ErkJggg==\n", 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\n", 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" ] @@ -1639,43 +1658,50 @@ } ], "source": [ + "indice_freq_1 = np.argmax(CO2_periode_fourier[borne_inf:borne_milieu]) + borne_inf\n", + "freq_max_1 = fourier_freq[indice_freq_1]\n", + "amplitude_max_1 = CO2_periode_fourier[indice_freq_1]\n", + "\n", + "print(f\"La fréquence d'oscillation est située à: {freq_max_1:.3f} Année^-1\")\n", "plt.plot(fourier_freq[borne_inf:borne_milieu],CO2_periode_fourier[borne_inf:borne_milieu])\n", + "plt.plot([freq_max_1], [amplitude_max_1], \"xr\", label=\"frequence d'oscillation\")\n", "plt.ylabel(\"Amplitude\")\n", - "plt.xlabel(\"Fréquence (Année$^{-1}$)\")" + "plt.xlabel(\"Fréquence (Année$^{-1}$)\")\n", + "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Et enfin identifier précisément la fréquence autour de 1 Année$^{-1}$" + "Nous allons désormais estimer la deuxième fréquence autour de 2 Anné$^{-1}$." ] }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "La fréquence d'oscillation est située à: 0.983 Année^-1\n" + "La fréquence d'oscillation est située à: 1.968 Année^-1\n" ] }, { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 51, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -1687,12 +1713,14 @@ } ], "source": [ - "indice_freq = np.argmax(CO2_periode_fourier[borne_inf:borne_milieu]) + borne_inf\n", + "indice_freq_2 = np.argmax(CO2_periode_fourier[borne_milieu:borne_sup]) + borne_milieu\n", + "freq_max_2 = fourier_freq[indice_freq_2]\n", + "amplitude_max_2 = CO2_periode_fourier[indice_freq_2]\n", "\n", - "freq_max = fourier_freq[indice_freq]\n", - "print(f\"La fréquence d'oscillation est située à: {freq_max:.3f} Année^-1\")\n", - "plt.plot(fourier_freq[borne_inf:borne_milieu],CO2_periode_fourier[borne_inf:borne_milieu])\n", - "plt.plot([freq_max], [200], \"xr\", label=\"frequence d'oscillation\")\n", + "\n", + "print(f\"La fréquence d'oscillation est située à: {freq_max_2:.3f} Année^-1\")\n", + "plt.plot(fourier_freq[borne_milieu:borne_sup],CO2_periode_fourier[borne_milieu:borne_sup])\n", + "plt.plot([freq_max_2], [amplitude_max_2], \"xr\", label=\"frequence d'oscillation\")\n", "plt.ylabel(\"Amplitude\")\n", "plt.xlabel(\"Fréquence (Année$^{-1}$)\")\n", "plt.legend()" @@ -1701,16 +1729,176 @@ { "cell_type": "markdown", "metadata": {}, - "source": [] + "source": [ + "Enfin nous allons pouvoir identifier la partie périodique du signal en: $$ f(t) = w_1 \\sin(f_1 t) + w_1 \\cos(f_2 t) + w_2 \\sin(f_2 t) + w_3 \\cos(f_2 t) $$\n", + "\n", + "Comme précédemment, nous allons définir le problème $$ Ax = y$$ avec $x$ les temps, $A$ les échantillons des fonctions de base à chaque temps et $y$ les mesures de CO2 (une fois la composante lente enlevée)." + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0. , 1. , 0. , 1. ],\n", + " [ 0.50168248, 0.86505184, 0.86796271, 0.49662938],\n", + " [ 0.85923543, 0.51158037, 0.87913596, -0.47657104],\n", + " ...,\n", + " [ 0.94226133, 0.33487846, 0.63108605, -0.77571283],\n", + " [ 0.98633317, -0.1647631 , -0.32502262, -0.94570624],\n", + " [ 0.77175144, -0.6359243 , -0.98155099, -0.19120057]])" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A = np.column_stack([np.sin(2.*np.pi*freq_max_1* temps), np.cos(2.*np.pi*freq_max_1*temps), \\\n", + " np.sin(2.*np.pi*freq_max_2*temps), np.cos(2.*np.pi*freq_max_2*temps)])\n", + "A" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Enfin, nous pouvons résoudre le système linéaire" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Les paramètres estimés sont [ 6.9928053 -0.17766823 2.61154642 0.82513488]\n" + ] + } + ], + "source": [ + "w = np.linalg.lstsq(A,CO2, rcond=None)[0]\n", + "print(f\"Les paramètres estimés sont {w}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Définissons enfin la fonction périodique $f(t)$ grâce aux $w_i$ obtenus précédemments:" + ] + }, + { + "cell_type": "code", + "execution_count": 26, "metadata": {}, "outputs": [], "source": [ - "def oscillation périodique" + "def CO2_comp_periode(t):\n", + " return w[0]*np.sin(2.*np.pi*freq_max_1*t) + w[1]*np.cos(2.*np.pi*freq_max_1*t) \\\n", + " + w[2]*np.sin(2.*np.pi*freq_max_2*t)+ w[3]*np.cos(2.*np.pi*freq_max_2*t)" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Enfin, nous pouvons afficher la composante périodique sur un graphe" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(temps,CO2_comp_periode(temps), label=\"estimation\")\n", + "plt.plot(temps,CO2_periode, label=\"mesure\")\n", + "plt.xlabel(\"Temps (Année)\")\n", + "plt.ylabel(\"CO2 (ppm)\")\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Enfin essayons d'afficher le taux de CO2 au cours du temps en extrapolant jusqu'à 2027." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "temps_zero = np.array(data_MLO[\"Date.1\"])[0]\n", + "plt.plot(temps_zero + temps,CO2)\n", + "\n", + "\n", + "temps_extrapol = np.hstack([temps, np.arange(temps[-1] + 0.8, temps[-1] + 3, 0.8 )])\n", + "plt.plot(temps_zero + temps_extrapol, CO2_comp_periode(temps_extrapol) + CO2_comp_lente(temps_extrapol))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": {