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@RawthiL
Created August 22, 2019 15:05
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Test_democdulacion
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Demodulación de FM"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"El osciloscopio es un instrumento de cabecera en la electrónica, pero dentro de comunicaciones, no es tan importante como el analizador de espectro. No obstante tambien el analizador de espectro no tiene las herramientas para demodular FM, para lo cual unicamente contamos con las funciones de Bessel."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import scipy.signal as dsp "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nos armamos una función para plotear espectros cada vez que lo necesitemos."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"def plot_spec(signal):\n",
" espec=20*np.log10(np.abs(np.fft.fft(signal)))\n",
" plt.figure()\n",
" plt.title('Espectro de la señal')\n",
" plt.plot(espec)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Vamos a definir los parametros minimos de una señal modulada en FM"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"##### constantes ######\n",
"deltaf=75000 # desviación\n",
"fmsj=2.7e3 # frecuencia de mensaje\n",
"m=deltaf/fmsj # indice de modulacion de fm, el parametro que usamos para entrar a Bessel\n",
"fc=100e3 # frecuencia de portadora\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Los parametros del osciloscopio"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ts = 4.001600640256103e-07\n"
]
}
],
"source": [
"############################\n",
"### Parametros del DSO ####\n",
"############################\n",
"\n",
"N=2500\n",
"fbt=100e-6\n",
"div=10\n",
"fs=N/(fbt*div)\n",
"t=np.linspace(0,N/fs,N)\n",
"print(\"ts = {}\".format(t[1]))"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"msj=np.cos(2*np.pi*fmsj*t) # mensaje\n",
"modulante=np.sin(2*np.pi*fmsj*t) ### en fm la modulante queda integrada \n",
"\n",
"fm=np.sin(2*np.pi*fc*t+m*modulante)\n",
"plt.figure()\n",
"plt.title(\"portadora modulada y modulante\")\n",
"plt.plot(t,fm,t,msj)\n",
"plot_spec(fm)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Envolvente compleja"
]
},
{
"cell_type": "code",
"execution_count": 333,
"metadata": {},
"outputs": [],
"source": [
"def convolution_2(kernel, signal, mode=\"mirror\"):\n",
" \"\"\" Convolucion de numpy con opciones adicionales:\n",
" mode: \n",
" \"full\" = Mismo que np.convolve\n",
" \"same\" = Mismo que np.convolve\n",
" \"valid\" = Mismo que np.convolve \n",
" \"mirror\" = Copio las muestras 1, 2, 3, ..., M/2\n",
" como muestras -1, -2, -3, ..., -M/2\n",
" y devuelvo N.\n",
" \"wrap\" = Supongo una señal cricular.\n",
" Copio las muestras N, N-1, N-2, ..., N-1-M/2\n",
" como muestras -1, -2, -3, ..., -M/2\n",
" y devuelvo N. Supongo una señal cricular\n",
" \n",
" (Largo kerel = M, Largo signal = N)\n",
" \"\"\"\n",
" \n",
" M = len(kernel)\n",
" N = len(signal)\n",
" # Primero armamos la nueva señal donde agregamos las muestras\n",
" signal_padded = np.zeros((M+N), dtype='complex128')\n",
" floor_half_idx = int(np.floor(M/2)) # largo pad inicial\n",
" ceil_half_idx = int(np.ceil(M/2)) # largo pad final\n",
" \n",
" \n",
" # If the mode is the numpy defaults, let them do the work...\n",
" if mode in [\"full\",\"same\",\"valid\"]:\n",
" return np.convolve(kernel,signal,mode=mode)\n",
" \n",
" # Sino, es un modo nuevo\n",
" # ------------- Mirror mode\n",
" elif mode == \"mirror\":\n",
" \n",
" # Asignamos el inicio\n",
" for i in range(floor_half_idx):\n",
" signal_padded[floor_half_idx-i] = signal[i]\n",
" # Asignamos el centro, que es la señal como esta\n",
" signal_padded[floor_half_idx:N+floor_half_idx] = signal\n",
" # Asignamos el final\n",
" for i in range(ceil_half_idx):\n",
" signal_padded[N+floor_half_idx+i] = signal[N-i-1]\n",
" \n",
" # Hacemos la convolucion completa\n",
" conv_sign_full = np.convolve(kernel,signal_padded,mode=\"same\")\n",
" \n",
" # Recortamos el inicio y final\n",
" conv_sign_full = conv_sign_full[floor_half_idx:N+floor_half_idx]\n",
" \n",
" # ------------- Wrap mode\n",
" elif mode == \"wrap\":\n",
" \n",
" # Asignamos el inicio\n",
" for i in range(floor_half_idx):\n",
" signal_padded[floor_half_idx-i] = signal[N-i-1]\n",
" # Asignamos el centro, que es la señal como esta\n",
" signal_padded[floor_half_idx:N+floor_half_idx] = signal\n",
" # Asignamos el final\n",
" for i in range(ceil_half_idx):\n",
" signal_padded[N+floor_half_idx+i] = signal[i]\n",
" \n",
" # Hacemos la convolucion completa\n",
" conv_sign_full = np.convolve(kernel,signal_padded,mode=\"same\")\n",
" \n",
" # Recortamos el inicio y final\n",
" conv_sign_full = conv_sign_full[floor_half_idx:N+floor_half_idx]\n",
" \n",
" \n",
" else:\n",
" print(\"------------ Modo de convolucion no encontrado -------------\")\n",
" return np.nan\n",
" \n",
"# plt.figure()\n",
"# plt.plot(signal_padded[:floor_half_idx*2])\n",
"# plt.plot(np.append(np.zeros((floor_half_idx), dtype='complex128'),signal[:floor_half_idx]))\n",
"# plt.show()\n",
" \n",
"# plt.figure()\n",
"# plt.plot(signal_padded[-ceil_half_idx*2:])\n",
"# plt.plot(np.append(signal[-ceil_half_idx:],np.zeros((ceil_half_idx), dtype='complex128')))\n",
"# plt.show()\n",
"\n",
" return conv_sign_full\n",
"\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 349,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f62f08b3390>]"
]
},
"execution_count": 349,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ComplexEnvelope_in=fm*np.power(np.e,1j*2*np.pi*fc*t)\n",
"filtro=dsp.firwin(500,200e3/fs)\n",
"#ComplexEnvelope=np.convolve(filtro,ComplexEnvelope,mode=\"same\")\n",
"ComplexEnvelope=convolution_2(filtro,ComplexEnvelope_in,mode=\"wrap\")\n",
"plt.figure()\n",
"plt.title(\"Envolvente compleja\")\n",
"plt.plot(np.real(ComplexEnvelope))\n",
"plt.plot(np.imag(ComplexEnvelope))\n"
]
},
{
"cell_type": "code",
"execution_count": 350,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2499\n",
"2500\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"### demodulacion en cuadratura ####\n",
"## y[t]=arg(x[t]*conj(x[t-1])) ####\n",
"\n",
"demod=np.angle(ComplexEnvelope[:-1]*np.conjugate(ComplexEnvelope[1:]))*fs/(2*np.pi)\n",
"plt.figure()\n",
"plt.title(\"Recuperado\")\n",
"plt.plot(demod)\n",
"print(len(demod))\n",
"print(len(t))\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Que podemos sacar del grafico recuperado\n",
"### - Desviacion Pico+ - Pico-\n",
"### - Desviación RMS\n",
"### - Frecuencia de la portadora\n",
"### - Calidad de Audio"
]
},
{
"cell_type": "code",
"execution_count": 337,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Desviación Pico+ 92911.97415134765 Hz / Desviación Pico- -75169.16434125538 Hz\n",
"Desviación RMS 53410.57017873739 Hz\n",
"Error de frecuencia -4270.43480213661 Hz\n"
]
}
],
"source": [
"print(\"Desviación Pico+ {} Hz / Desviación Pico- {} Hz\".format(np.max(demod),np.min(demod)))\n",
"print(\"Desviación RMS {} Hz\".format(np.sqrt(np.mean(demod**2))))\n",
"print(\"Error de frecuencia {} Hz\".format(np.mean(demod)))"
]
},
{
"cell_type": "code",
"execution_count": 338,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-3.66315273e+00, 7.66461664e+03, 1.58009108e+04, ...,\n",
" -6.85402957e+03, -4.76422808e+03, -2.80541126e+03])"
]
},
"execution_count": 338,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"demod"
]
},
{
"cell_type": "code",
"execution_count": 339,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"92911.97415134765"
]
},
"execution_count": 339,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.max(demod)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
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