From e702a5fd0dea819b189da1b1f1c8419687e36194 Mon Sep 17 00:00:00 2001
From: Jialei Ding <j.d.ding@tudelft.nl>
Date: Wed, 27 Nov 2024 10:37:19 +0100
Subject: [PATCH] ws2.3 UPLOAD
---
content/Week_2_3/WS_2_3_solution.ipynb | 39 +-
.../Week_2_3/WS_2_3_DFT_you_try_meow.ipynb | 469 ++++++++++++++++++
2 files changed, 489 insertions(+), 19 deletions(-)
create mode 100644 src/students/Week_2_3/WS_2_3_DFT_you_try_meow.ipynb
diff --git a/content/Week_2_3/WS_2_3_solution.ipynb b/content/Week_2_3/WS_2_3_solution.ipynb
index f96d5bb5..5d94fe43 100644
--- a/content/Week_2_3/WS_2_3_solution.ipynb
+++ b/content/Week_2_3/WS_2_3_solution.ipynb
@@ -58,7 +58,7 @@
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": 1,
"id": "da13fbf3",
"metadata": {
"tags": []
@@ -89,7 +89,7 @@
},
{
"cell_type": "code",
- "execution_count": 3,
+ "execution_count": 2,
"id": "b33e1be2",
"metadata": {
"tags": []
@@ -97,7 +97,7 @@
"outputs": [
{
"data": {
- "image/png": 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",
+ "image/png": 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zzz9f7733nsaPH69Ro0b5YUQAAADf6vDL4Hfv3q2IiAivbd27d9fDDz+sX/3qVz4bDAAAwF86fATox/HzQ1dccUWnhgEAAAiEU3oSNAAAgJMRQAAAwDgEEAAAMA4BBAAAjEMAAQAA4xBAAADAOAQQAAAwDgEEAACMQwABAADjEEAAAMA4BBAAADAOAQQAAIxDAAEAAOMQQAAAwDgEEAAAMA4BBAAAjEMAAQAA4xBAAADAOAQQAAAwju0BtHz5csXHxyssLEyJiYnasmVLu8739ttvKzg4WD//+c/9OyAAAOhybA2gtWvXatasWZo3b57KysqUmpqq9PR0VVRUnPR8dXV1yszM1C9/+csATQoAALoSWwNo8eLFmjp1qrKysjRs2DAtWbJEsbGxKigoOOn5br/9dk2cOFHJyckBmhQAAHQltgVQY2OjSktLlZaW5rU9LS1NW7duPeH5Vq1apU8//VTz589v1+U0NDSovr7e6wQAAMxmWwDV1NSoqalJkZGRXtsjIyNVVVXV5nk+/vhj3X333VqzZo2Cg4PbdTn5+flyu92eU2xsbKdnBwAAzmb7k6BdLpfX15ZltdomSU1NTZo4caLuu+8+DR06tN3r5+Xlqa6uznM6ePBgp2cGAADO1r7DKH4QERGhoKCgVkd7qqurWx0VkqTDhw9rx44dKisr0/Tp0yVJzc3NsixLwcHBeuONN3TllVe2Ol9oaKhCQ0P9cyUAAIAj2XYEKCQkRImJiSoqKvLaXlRUpJSUlFb7h4eHa/fu3dq1a5fnlJ2drXPOOUe7du3SiBEjAjU6AABwONuOAElSbm6uJk2apKSkJCUnJ+vJJ59URUWFsrOzJR1/+OqLL77QM888o27duikhIcHr/AMGDFBYWFir7QAAACdjawBlZGSotrZWCxcuVGVlpRISElRYWKi4uDhJUmVl5U++JxAAAEBH2RpAkpSTk6OcnJw2v7d69eqTnnfBggVasGCB74cCAABdmu2vAgMAAAg0AggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGIcAAgAAxiGAAACAcQggAABgHAIIAAAYhwACAADGIYAAAIBxCCAAAGAcAggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGIcAAgAAxiGAAACAcQggAABgHAIIAAAYhwACAADGIYAAAIBxCCAAAGAcAggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGIcAAgAAxiGAAACAcQggAABgHAIIAAAYhwACAADGIYAAAIBxCCAAAGAcAggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGIcAAgAAxiGAAACAcQggAABgHAIIAAAYhwACAADGIYAAAIBxCCAAAGAcAggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGIcAAgAAxiGAAACAcWwPoOXLlys+Pl5hYWFKTEzUli1bTrjvunXrNGbMGPXv31/h4eFKTk7W66+/HsBpAQBAV2BrAK1du1azZs3SvHnzVFZWptTUVKWnp6uioqLN/Tdv3qwxY8aosLBQpaWlGj16tMaOHauysrIATw4AAJzM1gBavHixpk6dqqysLA0bNkxLlixRbGysCgoK2tx/yZIluvPOO3XxxRdryJAhWrRokYYMGaJXX301wJMDAAAnsy2AGhsbVVpaqrS0NK/taWlp2rp1a7vWaG5u1uHDh9W3b98T7tPQ0KD6+nqvEwAAMJttAVRTU6OmpiZFRkZ6bY+MjFRVVVW71njkkUd05MgRTZgw4YT75Ofny+12e06xsbGdmhsAADif7U+CdrlcXl9bltVqW1uef/55LViwQGvXrtWAAQNOuF9eXp7q6uo8p4MHD3Z6ZgAA4GzBdl1wRESEgoKCWh3tqa6ubnVU6MfWrl2rqVOn6sUXX9RVV1110n1DQ0MVGhra6XkBAEDXYdsRoJCQECUmJqqoqMhre1FRkVJSUk54vueff15TpkzRc889p+uuu87fYwIAgC7ItiNAkpSbm6tJkyYpKSlJycnJevLJJ1VRUaHs7GxJxx+++uKLL/TMM89IOh4/mZmZWrp0qS699FLP0aMePXrI7Xbbdj0AAICz2BpAGRkZqq2t1cKFC1VZWamEhAQVFhYqLi5OklRZWen1nkBPPPGEjh07pmnTpmnatGme7ZMnT9bq1asDPT4AAHAoWwNIknJycpSTk9Pm934cNcXFxf4fCAAAdHm2vwoMAAAg0AggAABgHAIIAAAYhwACAADGIYAAAIBxCCAAAGAcAggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGIcAAgAAxiGAAACAcQggAABgHAIIAAAYhwACAADGIYAAAIBxCCAAAGAcAggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGIcAAgAAxiGAAACAcQggAABgHAIIAAAYhwACAADGIYAAAIBxCCAAAGAcAggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGIcAAgAAxiGAAACAcQggAABgHAIIAAAYhwACAADGIYAAAIBxCCAAAGAcAggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGIcAAgAAxiGAAACAcQggAABgHAIIAAAYhwACAADGIYAAAIBxCCAAAGAcAggAABgn2O4BuoqmZkvvHfhK1Ye/04DeYbokvq+Curkcsb6TZ/f3+k6ePRDrwx5O/rlx8uz+Xt/JswdifV+zPYCWL1+uhx9+WJWVlTr//PO1ZMkSpaamnnD/kpIS5ebmas+ePYqJidGdd96p7OzsAE7c2sYPKnXfq3tVWfedZ1u0O0zzx56naxKiT+v1nTy7v9d38uyBWB/2cPLPjZNn9/f6Tp49EOv7g60Pga1du1azZs3SvHnzVFZWptTUVKWnp6uioqLN/Q8cOKBrr71WqampKisr0z333KOZM2fqpZdeCvDk/2vjB5X67//Z6XWjS1JV3Xf67//ZqY0fVJ626zt5dn+v7+TZA7E+7OHknxsnz+7v9Z08eyDW9xdbA2jx4sWaOnWqsrKyNGzYMC1ZskSxsbEqKChoc//HH39cgwYN0pIlSzRs2DBlZWXp1ltv1R/+8IcAT35cU7Ol+17dK6uN77Vsu+/VvWpqbmsPe9d38uz+Xt/Jswdifc9alqXQYw0KPdag5qNH/XJy8vota1tW5/6cWzj558bJs/t7fSfPHoj1/cm2h8AaGxtVWlqqu+++22t7Wlqatm7d2uZ5tm3bprS0NK9tV199tVasWKHvv/9e3bt3b3WehoYGNTQ0eL6ur6/3wfTHvXfgq1bF+0OWpMq67/Tega+UfHa/02p9J8/u7/WdPHsg1ves8+23evlv8yRJB//zX197+T//deL6LWtb//cqKbT1300d5eSfGyfP7u/1nTx7INb3J9uOANXU1KipqUmRkZFe2yMjI1VVVdXmeaqqqtrc/9ixY6qpqWnzPPn5+XK73Z5TbGysb66ApOrDJ77RT2W/QK7v5Nn9vb6TZw/E+i16htj+FEJH8NWfk5N/bpw8u7/Xd/LsgVjfn2z/G8zl8n6GuGVZrbb91P5tbW+Rl5en3Nxcz9f19fU+i6ABvcN8ul8g13fy7P5e38mzB2L9Fq4ePXTOztJOrWECV48ePlnHyT83Tp7d3+s7efZArO9PtgVQRESEgoKCWh3tqa6ubnWUp0VUVFSb+wcHB6tfv7YPrYWGhio0NNQ3Q//IJfF9Fe0OU1Xdd20+/umSFOU+/lLA0219J8/u7/WdPHsg1ves43LJ1bNnp9ZA+zn558bJs/t7fSfPHoj1/cm2h8BCQkKUmJiooqIir+1FRUVKSUlp8zzJycmt9n/jjTeUlJTU5vN//C2om0vzx54n6fiN/EMtX88fe94pvw+CP9d38uz+Xt/JswdifdjDyT83Tp7d3+s7efZArO9Ptr4KLDc3V0899ZRWrlypffv2afbs2aqoqPC8r09eXp4yMzM9+2dnZ+uzzz5Tbm6u9u3bp5UrV2rFihWaO3euXVdB1yREq+C/fqEot/fhvSh3mAr+6xedfv8Df67v5Nn9vb6TZw/E+rCHk39unDy7v9d38uyBWN9fXJavXqN5ipYvX66HHnpIlZWVSkhI0B//+EddfvnlkqQpU6aovLxcxcXFnv1LSko0e/Zszxsh3nXXXR16I8T6+nq53W7V1dUpPDzcZ9fDye+w6eTZ/b2+k2cPxPqwh5N/bpw8u7/Xd/LsgVjf17+/bQ+gQPNXAAEAAP/x9e9vPgwVAAAYhwACAADGIYAAAIBxCCAAAGAcAggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGMe2T4O3S8sbX9fX19s8CQAAaK+W39u++gAL4wLo8OHDkqTY2FibJwEAAB1VW1srt9vd6XWM+yyw5uZmHTp0SL1795bL5dsPhayvr1dsbKwOHjzI54x1IdyuXRe3bdfE7do11dXVadCgQfr3v/+tPn36dHo9444AdevWTQMHDvTrZYSHh3On64K4Xbsubtuuidu1a+rWzTdPX+ZJ0AAAwDgEEAAAMA4B5EOhoaGaP3++QkND7R4FPsTt2nVx23ZN3K5dk69vV+OeBA0AAMARIAAAYBwCCAAAGIcAAgAAxiGAAACAcQggH1m+fLni4+MVFhamxMREbdmyxe6R0EkLFiyQy+XyOkVFRdk9Fjpo8+bNGjt2rGJiYuRyufTyyy97fd+yLC1YsEAxMTHq0aOHRo0apT179tgzLDrkp27bKVOmtLoPX3rppfYMi3bLz8/XxRdfrN69e2vAgAEaN26cPvzwQ699fHG/JYB8YO3atZo1a5bmzZunsrIypaamKj09XRUVFXaPhk46//zzVVlZ6Tnt3r3b7pHQQUeOHNHw4cO1bNmyNr//0EMPafHixVq2bJm2b9+uqKgojRkzxvO5gTh9/dRtK0nXXHON1324sLAwgBPiVJSUlGjatGl65513VFRUpGPHjiktLU1Hjhzx7OOT+62FTrvkkkus7Oxsr23nnnuudffdd9s0EXxh/vz51vDhw+0eAz4kyVq/fr3n6+bmZisqKsp64IEHPNu+++47y+12W48//rgNE+JU/fi2tSzLmjx5svWb3/zGlnngO9XV1ZYkq6SkxLIs391vOQLUSY2NjSotLVVaWprX9rS0NG3dutWmqeArH3/8sWJiYhQfH6/f/e532r9/v90jwYcOHDigqqoqr/tvaGiorrjiCu6/XURxcbEGDBigoUOH6rbbblN1dbXdI6GD6urqJEl9+/aV5Lv7LQHUSTU1NWpqalJkZKTX9sjISFVVVdk0FXxhxIgReuaZZ/T666/rz3/+s6qqqpSSkqLa2lq7R4OPtNxHuf92Tenp6VqzZo3efPNNPfLII9q+fbuuvPJKNTQ02D0a2smyLOXm5uqyyy5TQkKCJN/db437NHh/cblcXl9bltVqG5wlPT3d8/8XXHCBkpOTdfbZZ+vpp59Wbm6ujZPB17j/dk0ZGRme/09ISFBSUpLi4uK0YcMGjR8/3sbJ0F7Tp0/XP/7xD7311lutvtfZ+y1HgDopIiJCQUFBraqzurq6VZ3C2c444wxdcMEF+vjjj+0eBT7S8qo+7r9miI6OVlxcHPdhh5gxY4ZeeeUVbdq0SQMHDvRs99X9lgDqpJCQECUmJqqoqMhre1FRkVJSUmyaCv7Q0NCgffv2KTo62u5R4CPx8fGKioryuv82NjaqpKSE+28XVFtbq4MHD3IfPs1ZlqXp06dr3bp1evPNNxUfH+/1fV/db3kIzAdyc3M1adIkJSUlKTk5WU8++aQqKiqUnZ1t92johLlz52rs2LEaNGiQqqurdf/996u+vl6TJ0+2ezR0wDfffKNPPvnE8/WBAwe0a9cu9e3bV4MGDdKsWbO0aNEiDRkyREOGDNGiRYvUs2dPTZw40cap0R4nu2379u2rBQsW6IYbblB0dLTKy8t1zz33KCIiQtdff72NU+OnTJs2Tc8995z++te/qnfv3p4jPW63Wz169JDL5fLN/daXL1Uz2WOPPWbFxcVZISEh1i9+8QvPy/XgXBkZGVZ0dLTVvXt3KyYmxho/fry1Z88eu8dCB23atMmS1Oo0efJky7KOv6R2/vz5VlRUlBUaGmpdfvnl1u7du+0dGu1ystv26NGjVlpamtW/f3+re/fu1qBBg6zJkydbFRUVdo+Nn9DWbSrJWrVqlWcfX9xvXf+5MAAAAGPwHCAAAGAcAggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGIcAAgAAxiGAAACAcQggALYpLi6Wy+XS119/HfDLdrlccrlc6tOnT7v2b5nV5XJp3Lhxfp0NgP8RQAACYtSoUZo1a5bXtpSUFFVWVsrtdtsy06pVq/TRRx+1a9+WWSdMmODnqQAEAgEEwDYhISGKioqSy+Wy5fL79OmjAQMGtGvflll79Ojh56kABAIBBMDvpkyZopKSEi1dutTzMFJ5eXmrh8BWr16tPn366G9/+5vOOecc9ezZUzfeeKOOHDmip59+WoMHD9aZZ56pGTNmqKmpybN+Y2Oj7rzzTp111lk644wzNGLECBUXF3d4zvfff1+jR49W7969FR4ersTERO3YscNHfwoATifBdg8AoOtbunSpPvroIyUkJGjhwoWSpP79+6u8vLzVvkePHtWf/vQnvfDCCzp8+LDGjx+v8ePHq0+fPiosLNT+/ft1ww036LLLLlNGRoYk6ZZbblF5ebleeOEFxcTEaP369brmmmu0e/duDRkypN1z3nzzzbroootUUFCgoKAg7dq1S927d/fJnwGA0wsBBMDv3G63QkJC1LNnT0VFRZ103++//14FBQU6++yzJUk33nijnn32WX355Zfq1auXzjvvPI0ePVqbNm1SRkaGPv30Uz3//PP6/PPPFRMTI0maO3euNm7cqFWrVmnRokXtnrOiokJ33HGHzj33XEnqUDwBcBYCCMBppWfPnp74kaTIyEgNHjxYvXr18tpWXV0tSdq5c6csy9LQoUO91mloaFC/fv06dNm5ubnKysrSs88+q6uuukq//e1vvWYB0HUQQABOKz9+yMnlcrW5rbm5WZLU3NysoKAglZaWKigoyGu/H0ZTeyxYsEATJ07Uhg0b9Nprr2n+/Pl64YUXdP3115/CNQFwOiOAAARESEiI1xOXfeWiiy5SU1OTqqurlZqa2un1hg4dqqFDh2r27Nm66aabtGrVKgII6IJ4FRiAgBg8eLDeffddlZeXq6amxnMEp7OGDh2qm2++WZmZmVq3bp0OHDig7du368EHH1RhYWG71/n22281ffp0FRcX67PPPtPbb7+t7du3a9iwYT6ZE8DphQACEBBz585VUFCQzjvvPPXv318VFRU+W3vVqlXKzMzUnDlzdM455+jXv/613n33XcXGxrZ7jaCgINXW1iozM1NDhw7VhAkTlJ6ervvuu89ncwI4fbgsy7LsHgIAAs3lcmn9+vUd/liLKVOm6Ouvv9bLL7/sl7kABAZHgAAY66abbtLAgQPbte+WLVvUq1cvrVmzxs9TAQgEjgABMNInn3wi6fhDX/Hx8T+5/7fffqsvvvhC0vFXl/3U+xkBOL0RQAAAwDg8BAYAAIxDAAEAAOMQQAAAwDgEEAAAMA4BBAAAjEMAAQAA4xBAAADAOAQQAAAwzv8H1GruQjn7eWwAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
@@ -151,7 +151,7 @@
},
{
"cell_type": "code",
- "execution_count": 5,
+ "execution_count": 3,
"id": "3acb465b",
"metadata": {
"tags": []
@@ -159,7 +159,7 @@
"outputs": [
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
@@ -204,7 +204,7 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": 4,
"id": "df1f483b",
"metadata": {
"tags": []
@@ -212,7 +212,7 @@
"outputs": [
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
@@ -274,7 +274,7 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": 5,
"id": "a8aac894",
"metadata": {
"tags": []
@@ -282,7 +282,7 @@
"outputs": [
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
@@ -325,7 +325,7 @@
},
{
"cell_type": "code",
- "execution_count": 16,
+ "execution_count": 6,
"id": "b9608638",
"metadata": {
"tags": []
@@ -333,7 +333,7 @@
"outputs": [
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
@@ -403,13 +403,13 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": 13,
"id": "28ad034e",
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
@@ -429,20 +429,21 @@
"t=np.arange(0,T,dt)\n",
"xt=np.cos(2*np.pi*fc*t)\n",
"\n",
- "plt.plot(t,xt)\n",
+ "plt.plot(t,xt, marker = 'o')\n",
+ "\n",
"plt.xlabel('time [s]')\n",
"plt.ylabel('xn');"
]
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": 15,
"id": "af87d120",
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
@@ -470,7 +471,7 @@
"outputs": [
{
"data": {
- "image/png": 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",
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",
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"<Figure size 640x480 with 1 Axes>"
]
@@ -521,7 +522,7 @@
],
"metadata": {
"kernelspec": {
- "display_name": "Python 3 (ipykernel)",
+ "display_name": "mude-base",
"language": "python",
"name": "python3"
},
@@ -535,7 +536,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
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+ "version": "3.12.5"
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diff --git a/src/students/Week_2_3/WS_2_3_DFT_you_try_meow.ipynb b/src/students/Week_2_3/WS_2_3_DFT_you_try_meow.ipynb
new file mode 100644
index 00000000..c55cf9d6
--- /dev/null
+++ b/src/students/Week_2_3/WS_2_3_DFT_you_try_meow.ipynb
@@ -0,0 +1,469 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "81475e62",
+ "metadata": {},
+ "source": [
+ "# WS 2.3: Discrete Fourier Transform (DFT): You Try Meow (Miauw)\n",
+ "\n",
+ "<h1 style=\"position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; top: 60px;right: 30px; margin: 0; border: 0\">\n",
+ " <style>\n",
+ " .markdown {width:100%; position: relative}\n",
+ " article { position: relative }\n",
+ " </style>\n",
+ " <img src=\"https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png\" style=\"width:100px\" />\n",
+ " <img src=\"https://gitlab.tudelft.nl/mude/public/-/raw/main/mude-logo/MUDE_Logo-small.png\" style=\"width:100px\" />\n",
+ "</h1>\n",
+ "<h2 style=\"height: 10px\">\n",
+ "</h2>\n",
+ "\n",
+ "*[CEGM1000 MUDE](http://mude.citg.tudelft.nl/): Week 2.3, Signal Processing. For: November 27, 2024*"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "eff9791a",
+ "metadata": {},
+ "source": [
+ "The goal of this workshop to work with the _Discrete Fourier Transform_ (DFT), implemented in Python as the _Fast Fourier Transform_ (FFT) through `np.fft.fft`, and to understand and interpret its output.\n",
+ "\n",
+ "The notebook consists of two parts:\n",
+ "- The first part (Task 0) is a demonstration of the use of the DFT (_you read and execute the code cells_),\n",
+ "- The second part is a simple exercise with the DFT (_you write the code_).\n",
+ "\n",
+ "To start off, let's do a quick quiz question: _what is the primary purpose of the DFT?_\n",
+ "\n",
+ "_Run the code cell below to find the answer._"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "36a05bbd-69a1-4805-a4ad-e84de89de560",
+ "metadata": {
+ "tags": []
+ },
+ "outputs": [],
+ "source": [
+ "%%html\n",
+ "<iframe src=\"https://tudelft.h5p.com/content/1292126914399042257/embed\" aria-label=\"Meow\" width=\"1088\" height=\"637\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\" allow=\"autoplay *; geolocation *; microphone *; camera *; midi *; encrypted-media *\"></iframe><script src=\"https://tudelft.h5p.com/js/h5p-resizer.js\" charset=\"UTF-8\"></script>"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "03f3b3c6-d3f6-4121-9f39-c30c8bf70ea5",
+ "metadata": {},
+ "source": [
+ "That's right! We convert our signal into the frequency domain.\n",
+ "\n",
+ "And if you would like an additional explanation of the key frequencies, you can find it [here](https://medium.com/@kovalenko.alx/fun-with-fourier-591662576a77)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "bfca25a5-75ce-4837-9387-01f95be10bd0",
+ "metadata": {
+ "id": "0491cc69"
+ },
+ "source": [
+ "<div style=\"background-color:#facb8e; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px; width: 95%\"> <p>Note the use of <code>zip</code>, <code>stem</code>, <code>annotate</code> and the modulo operator\n",
+ "<code>%</code>. Refer to PA 2.3 if you do not understand these tools. Furthermore, note that the term _modulus_ is also used here (and in the textbook), which is another term for _absolute value._</p></div>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "da13fbf3",
+ "metadata": {
+ "tags": []
+ },
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "from matplotlib import pyplot as plt"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "13234855",
+ "metadata": {},
+ "source": [
+ "## Task 0: Demonstration of DFT using pulse function\n",
+ "\n",
+ "In the first part of this notebook, we use $x(t)=\\Pi(\\frac{t}{4})$, and its Fourier transform $X(f)=4 \\,\\textrm{sinc}(4f)$, as an example (see the first worked example in Chapter 3 on the Fourier transform). The pulse lasts for 4 seconds in the time domain; for convenience, below it is not centered at $t$ = 0, but shifted (delayed) to the right.\n",
+ "\n",
+ "The signal $x(t)$ clearly is non-periodic and is an energy signal; apart from a short time span of 'activity' it is zero elsewhere.\n",
+ "\n",
+ "We create a pulse function $x(t)$ in discrete time $x_n$ by numpy. The total signal duration is $T$ = 20 seconds (observation or record length). The sampling interval is $\\Delta t$ = 1 second. There are $N$ = 20 samples, and each sample represents 1 second, hence $N \\Delta t = T$.\n",
+ "\n",
+ "Note that the time array starts at $t$ = 0 s, and hence, the last sample is at $t$ = 19 s (and not at $t$ = 20 s, as then we would have 21 samples).\n",
+ "\n",
+ "### Task 0.1: Visualize the Signal"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "b33e1be2",
+ "metadata": {
+ "tags": []
+ },
+ "outputs": [],
+ "source": [
+ "t = np.arange(0,20,1)\n",
+ "xt = np.concatenate((np.zeros(8), np.ones(4), np.zeros(8)))\n",
+ "\n",
+ "plt.plot(t, xt,'o')\n",
+ "plt.stem(t[8:12], xt[8:12]) \n",
+ "plt.xticks(ticks=np.arange(0,21,5), labels=np.arange(0,21,5))\n",
+ "plt.xlabel('time [s]')\n",
+ "plt.ylabel('xn');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "a338eede",
+ "metadata": {},
+ "source": [
+ "### Task 0.2: Evaluate (and visualize) the DFT\n",
+ "\n",
+ "We use `numpy.fft.fft` to compute the one-dimensional Discrete Fourier Transform (DFT) of $x_n$, which takes a signal as argument and returns an array of coefficients (refer to the [documentation](https://numpy.org/doc/stable/reference/generated/numpy.fft.fft.html) as needed).\n",
+ "\n",
+ "The DFT converts $N$ samples of the time domain signal $x_n$, into $N$ samples of the frequency domain. In this case, it produces $X_k$ with $k = 0, 1, 2, \\ldots, N-1$, with $N$ = 20, which are complex numbers. "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "26d0f558-caa7-41f2-9477-60d74940fc10",
+ "metadata": {},
+ "source": [
+ "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px; width: 95%\">\n",
+ "<p>\n",
+ "<b>Task 0.2:</b> \n",
+ "Read the code cell below before executing it and identify the following:\n",
+ "<ol>\n",
+ " <li>Where is the DFT computed, and what is the output?</li>\n",
+ " <li>Why is the modulus (absolute value) used on the DFT output?</li>\n",
+ " <li>What are the values are used for the x and y axes of the plot?</li>\n",
+ " <li>How is frequency information found and added to the plot (mathematically)?</li>\n",
+ "</ol>\n",
+ "Once you understand the figure, continue reading to understand <em>what do these 20 complex numbers mean, and how should we interpret them?</em>\n",
+ "</p>\n",
+ "</div>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "3acb465b",
+ "metadata": {
+ "tags": []
+ },
+ "outputs": [],
+ "source": [
+ "abs_fft = np.abs(np.fft.fft(xt))\n",
+ "index_fft = np.arange(0,20,1)\n",
+ "plt.plot(index_fft, abs_fft, 'o')\n",
+ "\n",
+ "freq = np.arange(0, 1, 0.05)\n",
+ "for x,y in zip(index_fft, abs_fft):\n",
+ " if x%5 == 0 or x==19:\n",
+ " label = f\"f={freq[x]:.2f} Hz\"\n",
+ " plt.annotate(label, \n",
+ " (x,y),\n",
+ " textcoords=\"offset points\", \n",
+ " xytext=(0,10),\n",
+ " fontsize=10,\n",
+ " ha='center') \n",
+ "plt.ylim(0,5)\n",
+ "plt.xlim(-2,21)\n",
+ "plt.xlabel('fft-index')\n",
+ "plt.ylabel('$|X_k|$')\n",
+ "plt.stem(index_fft, abs_fft);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "09c72cdd",
+ "metadata": {},
+ "source": [
+ "The frequency resolution $\\Delta f$ equals one-over-the-measurement-duration, hence $\\Delta f = 1/T$. With that knowledge, we can reconstruct the frequencies expressed in Hertz.\n",
+ "\n",
+ "The spectrum of the sampled signal is periodic in the sampling frequency $f_s$ which equals 1 Hz ($\\Delta t$ = 1 s). Therefore, it is computed just for one period $[0,f_s)$. The last value, with index 19, represents the component with frequency $f$ = 0.95 Hz. A spectrum is commonly presented and interpreted as double-sided, so in the above graph we can interpret the spectral components with indices 10 to 19 corresponding to negative frequencies. \n",
+ "\n",
+ "### Task 0.3: Identify negative frequencies"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "df1f483b",
+ "metadata": {
+ "tags": []
+ },
+ "outputs": [],
+ "source": [
+ "abs_fft = np.abs(np.fft.fft(xt))\n",
+ "plt.stem(index_fft, abs_fft)\n",
+ "plt.plot(index_fft, abs_fft, 'o')\n",
+ "\n",
+ "freq = np.concatenate((np.arange(0, 0.5, 0.05), np.arange(-0.5, 0, 0.05)))\n",
+ "for x,y in zip(index_fft, abs_fft):\n",
+ " if x%5 == 0 or x==19:\n",
+ " label = f\"f={freq[x]:.2f} Hz\"\n",
+ " plt.annotate(label, \n",
+ " (x,y),\n",
+ " textcoords=\"offset points\", \n",
+ " xytext=(0,10),\n",
+ " fontsize=10,\n",
+ " ha='center') \n",
+ "plt.ylim(0,5)\n",
+ "plt.xlim(-2,21)\n",
+ "plt.xlabel('fft-index')\n",
+ "plt.ylabel('$|X_k|$');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "2d87a9a6",
+ "metadata": {
+ "tags": []
+ },
+ "source": [
+ "Now we can interpret the DFT of the $x(t)=\\Pi(\\frac{t}{4})$. The sampling interval is $\\Delta t$ = 1 second, and the obsesrvation length is T=20 seconds, and we have N=20 samples. \n",
+ "- We can recognize a bit of a sinc function.\n",
+ "- The DFT is computed from 0 Hz, for positive frequencies up to $\\frac{fs}{2} = 0.5$ Hz, after which the negative frequencies follow from -0.5 to -0.05 Hz.\n",
+ "- $X(f)=4 \\textrm{sinc}(4f)$ has its first null at $f=0.25$Hz.\n",
+ "\n",
+ "### Task 0.4: Create symmetric plot\n",
+ "\n",
+ "For convenient visualization, we may want to explicitly shift the negative frequencies to the left-hand side to create a symmetric plot. We can use `numpy.fft.fftshift` to do that. In other words, the zero-frequency component appears in the center of the spectrum. Now, it nicely shows a symmetric sprectrum. It well resembles the sinc-function (taking into account that we plot the modulus/absolute value). The output of the DFT still consists of $N$ = 20 elements. To enable this, we set up a new frequency array (in Hz) on the interval $[-fs/2,fs/2)$."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "e1eef6b6-1e90-43db-b059-6521b2a840d3",
+ "metadata": {},
+ "source": [
+ "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px; width: 95%\">\n",
+ "<p>\n",
+ "<b>Task 0.4:</b> \n",
+ "Read the code cell below before executing it and identify how the plot is modified based on the (new) specification of frequency. Note that it is more than just the <code>freq</code> variable!\n",
+ "</p>\n",
+ "</div>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "a8aac894",
+ "metadata": {
+ "tags": []
+ },
+ "outputs": [],
+ "source": [
+ "abs_fft_shift = np.abs(np.fft.fftshift(np.fft.fft(xt)))\n",
+ "freq = np.arange(-0.5, 0.5, 0.05)\n",
+ "plt.stem(freq, abs_fft_shift)\n",
+ "plt.plot(freq, abs_fft_shift, 'o')\n",
+ "plt.ylabel('|Xk|')\n",
+ "plt.xlabel('frequency [Hz]');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "569ca2d3",
+ "metadata": {},
+ "source": [
+ "### Task 0.5: Showing spectrum only for positive frequencies\n",
+ "\n",
+ "In practice, because of the symmetry, one typically plots only the right-hand side of the (double-sided) spectrum, hence only the part for positive frequencies $f \\geq 0$. This is simply a matter of preference, and a way to save some space."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "a26e361d-c5fa-47a2-b32c-416cc3d10659",
+ "metadata": {},
+ "source": [
+ "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px; width: 95%\">\n",
+ "<p>\n",
+ "<b>Task 0.5:</b> \n",
+ "Can you identify what has changed (in the code and visually), compared to the previous plot?\n",
+ "</p>\n",
+ "</div>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "b9608638",
+ "metadata": {
+ "tags": []
+ },
+ "outputs": [],
+ "source": [
+ "N=len(xt)\n",
+ "abs_fft = np.abs(np.fft.fft(xt))\n",
+ "freq = np.arange(0.0, 1.0, 0.05)\n",
+ "plt.plot(freq[:int(N/2)], abs_fft[:int(N/2)], 'o')\n",
+ "plt.stem(freq[:int(N/2)], abs_fft[:int(N/2)])\n",
+ "plt.ylabel('$|X_k|$')\n",
+ "plt.xlabel('frequency [Hz]');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "83c4ca67-9234-4741-a56f-294a12bcd98a",
+ "metadata": {},
+ "source": [
+ "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px; width: 95%\">\n",
+ "<p>\n",
+ "<b>Task 0.6:</b> \n",
+ "Confirm that you understand how we have arrived at the plot above, which illustrates the magnitude (amplitude) spectrum for frequencies $f \\in [0,f_s/2)$, rather than $[0,f_s)$.\n",
+ "</p>\n",
+ "</div>"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "9f5558b4",
+ "metadata": {},
+ "source": [
+ "## Task 1: Application of DFT using simple cosine"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "46dd5c0c",
+ "metadata": {},
+ "source": [
+ "It is always a good idea, in spectral analysis, to run a test with a very simple, basic signal. In this way you can test and verify your coding and interpretation of the results. \n",
+ "\n",
+ "Our basic signal is just a plain cosine. We take the amplitude equal to one, and zero initial phase, so the signal reads $x(t) = \\cos(2 \\pi f_c t)$, with $f_c$ = 3 Hz in this exercise. With such a simple signal, we know in advance how the spectrum should look like. Namely just a spike at $f$ = 3 Hz, and also one at $f$ = -3 Hz, as we're, for mathematical convenience, working with double sided spectra. The spectrum should be zero at all other frequencies.\n",
+ "\n",
+ "As a side note: the cosine is strictly a periodic function, not a-periodic (as above); still, the Fourier transform of the cosine is defined as two Dirac delta pulses or peaks (at 3 Hz and -3 Hz). You may want to check out the second worked example in Chapter 3 on the Fourier transform: Fourier transform in the limit."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "87de3cc5",
+ "metadata": {},
+ "source": [
+ "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px; width: 95%\">\n",
+ "<p>\n",
+ "<b>Task 1:</b> \n",
+ " \n",
+ "Create a sampled (discrete time) cosine signal by sampling at $f_s$ = 10 Hz, for a duration of $T$ = 2 seconds (make sure you use exactly $N$ = 20 samples). Plot the sampled signal, compute its DFT and plot its magnitude spectrum $|X_k|$ with proper labeling of the axes (just like we did in the first part of this notebook). Include a plot of the spectrum of the sampled cosine signal using only the positive frequencies (up to $f_s/2$, as in the last plot of the previous task).\n",
+ "\n",
+ "<em>Note: you are expected to produce three separate plots.</em>\n",
+ "</p>\n",
+ "</div>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "28ad034e",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "YOUR_CODE_HERE_PLOT_1"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "af87d120",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "YOUR_CODE_HERE_PLOT_2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "6fd9014c",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "YOUR_CODE_HERE_PLOT_3"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "0b3584c9",
+ "metadata": {},
+ "source": [
+ "**End of notebook.**\n",
+ "<h2 style=\"height: 60px\">\n",
+ "</h2>\n",
+ "<h3 style=\"position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; bottom: 60px; right: 50px; margin: 0; border: 0\">\n",
+ " <style>\n",
+ " .markdown {width:100%; position: relative}\n",
+ " article { position: relative }\n",
+ " </style>\n",
+ " <a rel=\"license\" href=\"http://creativecommons.org/licenses/by/4.0/\">\n",
+ " <img alt=\"Creative Commons License\" style=\"border-width:; width:88px; height:auto; padding-top:10px\" src=\"https://i.creativecommons.org/l/by/4.0/88x31.png\" />\n",
+ " </a>\n",
+ " <a rel=\"TU Delft\" href=\"https://www.tudelft.nl/en/ceg\">\n",
+ " <img alt=\"TU Delft\" style=\"border-width:0; width:100px; height:auto; padding-bottom:0px\" src=\"https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png\" />\n",
+ " </a>\n",
+ " <a rel=\"MUDE\" href=\"http://mude.citg.tudelft.nl/\">\n",
+ " <img alt=\"MUDE\" style=\"border-width:0; width:100px; height:auto; padding-bottom:0px\" src=\"https://gitlab.tudelft.nl/mude/public/-/raw/main/mude-logo/MUDE_Logo-small.png\" />\n",
+ " </a>\n",
+ " \n",
+ "</h3>\n",
+ "<span style=\"font-size: 75%\">\n",
+ "© Copyright 2024 <a rel=\"MUDE\" href=\"http://mude.citg.tudelft.nl/\">MUDE</a> TU Delft. This work is licensed under a <a rel=\"license\" href=\"http://creativecommons.org/licenses/by/4.0/\">CC BY 4.0 License</a>."
+ ]
+ }
+ ],
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--
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