{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[{"file_id":"1t8uJCmw4iP4vgTCp0xKLNO553NjTcIyo","timestamp":1724075217177}],"authorship_tag":"ABX9TyM2Hqdyv2NHhGy3x3aD46+I"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","source":["**Efectos de Ventaneo en el Módulo de la Transformada de Fourier**\n","\n","Caso 1: Ventana Rectangular (truncamiento de datos)\n","\n","Considere la siguiente señal con tres componentes sinusoidales:\n","x(t) = A1 sin 2π f1t + A2 sin 2π f2t + A3 sin 2π f3t\n","\n"],"metadata":{"id":"D-50s06X45_E"}},{"cell_type":"code","source":["import numpy as np\n","import matplotlib.pyplot as plt\n","\n","# Define parameters\n","f1 = 10\n","f2 = 20\n","f3 = 21\n","fs = 60\n","T = 0.6  # window length  (try different values: 0.6, 0.8, 1.0, 1.5, 2, 2.5, 3, 4)\n","\n","# Time vector\n","t = np.arange(0, T, 1/fs)\n","\n","# Signal definition\n","x = 2*np.sin(2*np.pi*f1*t) + 2*np.sin(2*np.pi*f2*t) + 2*np.sin(2*np.pi*f3*t)\n","\n","# FFT of the signal\n","N = len(x)\n","X = np.fft.fft(x)\n","f = fs * np.arange(0, N) / N\n","\n","# Zero-padding and FFT\n","Xz = np.fft.fft(np.concatenate([x, np.zeros(2000-N)]))\n","Nz = len(Xz)\n","fz = fs * np.arange(0, Nz) / Nz\n","\n","# Plotting the results\n","plt.figure(1)\n","plt.stem(f[0:N//2+1], np.abs(X[0:N//2+1])/fs/T, 'r:', basefmt=\" \")\n","plt.axis([0, 30, 0, 1.2])\n","plt.xlabel('Frequency (Hz)')\n","plt.ylabel('Modulus')\n","plt.plot(fz[0:Nz//2+1], np.abs(Xz[0:Nz//2+1])/fs/T)\n","plt.grid(True)\n","plt.show()\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":455},"id":"CB8s6UkCI4nf","executionInfo":{"status":"ok","timestamp":1742943827330,"user_tz":180,"elapsed":673,"user":{"displayName":"Javier Ernesto Kolodziej","userId":"07607278774554166393"}},"outputId":"e2ab6e4d-fa75-4130-e7c4-dd12e24ebaca"},"execution_count":1,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 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\n"},"metadata":{}}]},{"cell_type":"markdown","source":["Comentarios:\n","\n","La ventana rectangular es simplemente la señal truncada (es decir, desde 0 hasta T segundos).\n","Note que en el código se hace un relleno con ceros. Esto es, agregar 'ceros' al final de la secuencia temporal para mejorar la apariencia en el dominio de la frecuencia, ya que se reduce el espaciamiento entre frecuencias. En otras palabras, el relleno con ceros en el dominio del tiempo resulta en una interpolación en el dominio de la frecuencia. A veces, este procedimiento se denomina ‘interpolación espectral’. Como resultado, la apariencia en el dominio de la frecuencia (DFT) se asemeja al espectro verdadero (integral de Fourier), por lo que es útil para fines de demostración. Sin embargo, no aumenta la resolución 'real', es decir, no mejora la capacidad de distinguir las frecuencias cercanas. Cabe destacar que la resolubilidad real en el dominio de la frecuencia depende de la longitud de los datos\n","𝑇\n"," y del tipo de ventana.\n","Dado que el relleno con ceros puede dar una impresión incorrecta de los resultados, no se utiliza en esta materia, excepto para algunos fines de demostración y propósitos especiales.\n","\n"],"metadata":{"id":"FVY9tPP9LIGe"}},{"cell_type":"markdown","source":["Caso 2: Ventana de Hanning"],"metadata":{"id":"I57SiiYALifE"}},{"cell_type":"code","source":["import numpy as np\n","import matplotlib.pyplot as plt\n","\n","# Define parameters\n","f1 = 10\n","f2 = 20\n","f3 = 21\n","fs = 60\n","T = 2  # window length, try different values: 0.6, 0.8, 1.0, 1.5, 2, 2.5, 3, 4\n","\n","# Time vector\n","t = np.arange(0, T, 1/fs)\n","\n","# Signal definition\n","x = 2 * np.sin(2 * np.pi * f1 * t) + 2 * np.sin(2 * np.pi * f2 * t) + 2 * np.sin(2 * np.pi * f3 * t)\n","\n","# Applying Hanning window\n","N = len(x)\n","whan = np.hanning(N)\n","x = x * whan\n","\n","# FFT of the signal\n","X = np.fft.fft(x)\n","f = fs * np.arange(0, N) / N\n","\n","# Zero-padding and FFT\n","Xz = np.fft.fft(np.concatenate([x, np.zeros(2000-N)]))\n","Nz = len(Xz)\n","fz = fs * np.arange(0, Nz) / Nz\n","\n","# Plotting the results\n","plt.figure(1)\n","plt.stem(f[0:N//2+1], np.sqrt(8/3) * np.abs(X[0:N//2+1])/fs/T, 'r:', basefmt=\" \")\n","plt.axis([0, 30, 0, 1.2])\n","plt.xlabel('Frequency (Hz)')\n","plt.ylabel('Modulus')\n","plt.plot(fz[0:Nz//2+1], np.sqrt(8/3) * np.abs(Xz[0:Nz//2+1])/fs/T)\n","plt.grid(True)\n","plt.show()\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":455},"id":"IEHzgVNkLsfu","executionInfo":{"status":"ok","timestamp":1742943841794,"user_tz":180,"elapsed":208,"user":{"displayName":"Javier Ernesto Kolodziej","userId":"07607278774554166393"}},"outputId":"4f3859a8-91e5-40ea-e55c-467e2bacc10a"},"execution_count":2,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 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\n"},"metadata":{}}]},{"cell_type":"markdown","source":["**Comentarios:**\n","\n","La componente de 10 Hz se incluye como referencia, es decir, con el propósito de comparación con los otros dos picos.\n","La línea sólida (DFT con relleno de ceros) es principalmente para fines de demostración, y la línea discontinua con círculos es la DFT real de la señal ventaneada. A partir de los resultados de la DFT (sin relleno de ceros), se muestra que las dos componentes sinusoidales (20 Hz y 21 Hz) se separan después de\n","𝑇\n","=\n","2\n","en el caso de una ventana rectangular. Por otro lado, no son completamente separables hasta\n","𝑇\n","=\n","4\n","si se utiliza la ventana de Hanning. Esto se debe a su lóbulo principal más ancho. Sin embargo, notamos que la disperasión de energía se reduce considerablemente con la ventana de Hanning.\n","En el caso de la ventana de Hanning, las magnitudes de los picos están subestimadas incluso si se utiliza el factor de escala. (Note que el lóbulo principal contiene más líneas de frecuencia que en la ventana rectangular).\n","Sin embargo, en el caso de la ventana rectangular, los picos se estiman correctamente cuando la longitud de los datos corresponde a períodos exactos de la señal, es decir, cuando\n","𝑇\n","=\n","1, 2, 3 y 4.\n","Note que las frecuencias de los picos están ubicadas con precisión en este caso (ver el componente de 21 Hz). Compare esto con los otros casos (*T* no entero).\n","\n"],"metadata":{"id":"IpiJVACpMQrq"}},{"cell_type":"markdown","source":["**Efecto del Ventaneo en la resolución en amplitud:**\n","\n","Considere el caso de dos señales sinusoidales con una diferencia muy significativa en la amplitud *A*1>>*A*2. Para este ejemplo en particular, *A*1 = 1 y *A*2 = 0,001. Otros parámetros utilizados son f1 = 9 Hz, f2 = 14 Hz, ventana de observación T = 15,6 s, frecuencia de muestreo fs = 50 muestras/s."],"metadata":{"id":"gQGTKimml2Ol"}},{"cell_type":"code","source":["import numpy as np\n","import matplotlib.pyplot as plt\n","\n","# Define parameters\n","f1 = 9\n","f2 = 14\n","fs = 50\n","T = 15.6  # to see some windowing effect\n","\n","# Time vector\n","t = np.arange(0, T, 1/fs)\n","\n","# Signal definition\n","x = 1 * np.sin(2 * np.pi * f1 * t) + 0.001 * np.sin(2 * np.pi * f2 * t)\n","\n","# Applying Hanning window\n","N = len(x)\n","whan = np.hanning(N)\n","xh = x * whan\n","\n","# FFT of the signals\n","X = np.fft.fft(x)\n","Xh = np.fft.fft(xh)\n","f = fs * np.arange(0, N) / N\n","\n","# Plotting the results\n","plt.figure(1)\n","plt.plot(f[:N//2+1], 20 * np.log10(np.abs(X[:N//2+1]) / fs / T), label='Truncated Signal')\n","plt.plot(f[:N//2+1], 20 * np.log10(np.sqrt(8/3) * np.abs(Xh[:N//2+1]) / fs / T), 'r:', label='Windowed Signal (Hanning)')\n","plt.axis([0, 25, -180, 0])\n","plt.xlabel('Frequency (Hz)')\n","plt.ylabel('Modulus (dB)')\n","plt.legend()\n","plt.show()\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":455},"id":"h4YIORMumo58","executionInfo":{"status":"ok","timestamp":1742943851890,"user_tz":180,"elapsed":259,"user":{"displayName":"Javier Ernesto Kolodziej","userId":"07607278774554166393"}},"outputId":"71faf5df-8ee3-42dc-9ee7-c23b5474e2af"},"execution_count":3,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 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\n"},"metadata":{}}]}]}