aboutsummaryrefslogtreecommitdiffstats
path: root/buch/papers/fm/Python animation/Bessel-FM.ipynb
blob: f475f4544cab6f25cf4ff5a6b312a9061091c50d (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "import numpy as np\n",
    "from scipy import signal\n",
    "from scipy.fft import fft, ifft, fftfreq\n",
    "import scipy.special as sc\n",
    "import scipy.fftpack\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "# Use the pgf backend (must be set before pyplot imported)\n",
    "# mpl.use('pgf')\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def fm(beta):\n",
    "    # Number of samplepoints\n",
    "    N = 600\n",
    "    # sample spacing\n",
    "    T = 1.0 / 1000.0\n",
    "    fc = 100.0\n",
    "    fm = 30.0\n",
    "    x = np.linspace(0.01, N*T, N)\n",
    "    #beta = 1.0\n",
    "    y_old = np.sin(fc * 2.0*np.pi*x+beta*np.sin(fm * 2.0*np.pi*x))\n",
    "    y = 0*x;\n",
    "    xf = fftfreq(N, 1 / N)\n",
    "    for k in range (-4, 4):\n",
    "        y = sc.jv(k,beta)*np.sin((fc+k*fm) * 2.0*np.pi*x)\n",
    "        yf = fft(y)/(fc*np.pi)\n",
    "        plt.plot(xf, np.abs(yf))\n",
    "    plt.xlim(-150, 150)\n",
    "    plt.show()\n",
    "    #yf_old = fft(y_old)\n",
    "    #plt.plot(xf, np.abs(yf_old))\n",
    "    #plt.show()\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Number of samplepoints\n",
    "N = 800\n",
    "# sample spacing\n",
    "T = 1.0 / N\n",
    "x = np.linspace(0.01, N*T, N)\n",
    "\n",
    "y_old = np.sin(100* 2.0*np.pi*x+1*np.sin(15* 2.0*np.pi*x))\n",
    "yf_old = fft(y_old)/(100*np.pi)\n",
    "xf = fftfreq(N, 1 / N)\n",
    "plt.plot(xf, np.abs(yf_old))\n",
    "#plt.xlim(-150, 150)\n",
    "plt.show()\n",
    "\n",
    "fm(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.44605905843961724\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "for n in range (-1,7):\n",
    "    x = np.linspace(-11,16,1000)\n",
    "    y = sc.jv(n,x)\n",
    "    plt.plot(x, y, '-',label='n='+str(n))\n",
    "#plt.plot([1,1],[sc.jv(0,1),sc.jv(-1,1)],)\n",
    "plt.xlim(-5,15)\n",
    "plt.grid(True)\n",
    "plt.ylabel('Bessel $J_n(\\\\beta)$')\n",
    "plt.xlabel(' $ \\\\beta $ ')\n",
    "plt.plot(x, y)\n",
    "plt.legend()\n",
    "#plt.show()\n",
    "plt.savefig('bessel.pgf', format='pgf')\n",
    "print(sc.jv(2,2.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0,0.1,2000)\n",
    "ratio = 2\n",
    "first = 1\n",
    "(length,)  = x.shape\n",
    "slop = int(length/6)\n",
    "second = ratio-first\n",
    "odd = ratio % 2\n",
    "\n",
    "first = int(first * length/ratio) \n",
    "second = int( second * length/ratio) + odd\n",
    "slop = np.array(np.append(np.zeros(first-slop) , (np.arange(slop))/slop))\n",
    "#steep = np.ones(int(first * length/ratio)+ odd) - np.exp(-np.arange(int(first * length/ratio) + odd)/200)\n",
    "steep = (np.ones(first) + slop)*0.5\n",
    "\n",
    "step = np.append(steep,  np.ones(second))\n",
    "m = np.sin(5 * 2.0 * np.pi * x) * step \n",
    "plt.plot(x, step, '-')\n",
    "plt.plot(x, m, '-')\n",
    "plt.savefig('m_t.pgf', format='pgf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "y = (np.sin(20 * 2.0*np.pi*x)+np.sin(5* 2.0*np.pi*x)+np.sin(2* 2.0*np.pi*x))/3\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Nat Modulationsarten"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "t = np.linspace(0,1,5000)\n",
    "\n",
    "# m(t)\n",
    "k = 0.25\n",
    "dc = 0.25\n",
    "f1 = 1\n",
    "f2 = 1.4\n",
    "\n",
    "# x_c(t)\n",
    "fc = 10\n",
    "kp = 1.5 * 2 * np.pi\n",
    "kf = 15\n",
    "\n",
    "m = dc + k* np.cos(2*np.pi*f1*t) + k*np.sin(2*np.pi*f2*t)\n",
    "\n",
    "AM = 2* m* np.cos(2* np.pi *fc*t)\n",
    "\n",
    "PM = 1* np.cos(2* np.pi * fc*t+kp*m)\n",
    "\n",
    "dt= t[1]-t[0]\n",
    "phi = kp * m + np.gradient(phi,dt)\n",
    "phidt =  np.append(0, kf*2*np.pi*m[:-1])\n",
    "FM = 1* (np.cos(2 *np.pi *fc *t + phidt))\n",
    "plt.plot(t, m, '-')\n",
    "#plt.plot(t, AM,'b')\n",
    "plt.plot(t,PM)\n",
    "plt.plot(t,FM)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "916dbcbb3f70747c44a77c7bcd40155683ae19c65e1c03b4aa3499c5328201f1"
  },
  "kernelspec": {
   "display_name": "Python 3.8.10 64-bit",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}