{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[{"file_id":"1x_LK8rIyahW_vbqK5XxjpFr-jwYz8yeb","timestamp":1668542404855}]},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"},"gpuClass":"standard"},"cells":[{"cell_type":"markdown","source":["#Laboratorio Nº2"],"metadata":{"id":"XDFf6XMbexDc"}},{"cell_type":"markdown","source":["Notebook correspondiente al Laboratorio Nº2 de la asignatura \"IC324 Señales y Sistemas\". \n","\n","Se contempla la actividad 1 y 2.\n","\n","* En primera instancia, se procede con la importación de las dependencias. Luego, se realiza la carga del archivo de audio en formato wav (\"hornero.wav\", propuesto por la cátedra).\n","\n","* **Actividad 1: Muestreo y efectos en el audio**. Permite la reprodución del audio en distintas frecuencias de muestreo, para así analizar qué fenómeno ocurre.\n","\n","* **Actividad 2: Ecos y Transformada Z**. En la sección 'Ecos' se implementa de manera \"manual\" el efecto de eco en el audio (a través de la concatenación de distintos arreglos). \n","\n"," Conociendo el diagrama de simulación, la ecuación a diferencias y la función de transferencia que representa dicho fenómeno, se propone al estudiante construir dicha función (numerador y denominador) a través del método `lfilter` de Scipy, y así filtrar la señal de audio."],"metadata":{"id":"odOMopVAYLi6"}},{"cell_type":"markdown","source":["##Importación de dependencias"],"metadata":{"id":"EffbKT5HyRqT"}},{"cell_type":"code","execution_count":null,"metadata":{"id":"THLxelhreoJx"},"outputs":[],"source":["import numpy as np\n","import matplotlib.pyplot as plt\n","plt.rcParams['figure.figsize'] = [16, 8]\n","plt.rcParams.update({'font.size' : 14})\n","\n","from scipy.io import wavfile # Permite leer y grabar audio\n","from IPython.display import Audio # Permite reproducir el audio\n","\n","from scipy.signal import lfilter"]},{"cell_type":"markdown","source":["##Carga del archivo de audio"],"metadata":{"id":"SgvfW-lx7ZHh"}},{"cell_type":"markdown","source":["Se utiliza `wavfile.read(AudioName)`, que retorna:\n","* rate --> Frecuencia de muestreo del audio\n","* data --> Array de Numpy. Señal de audio (int16)\n","\n","\n","Para más información, recurrir a la [documentación](https://docs.scipy.org/doc/scipy/reference/generated/scipy.io.wavfile.read.html#scipy-io-wavfile-read)."],"metadata":{"id":"VpZL8b216lA5"}},{"cell_type":"code","source":["AudioName = \"hornero.wav\" # Archivo de Audio\n","\n","fs, Audiodata = wavfile.read(AudioName)\n","\n","duracion = Audiodata.shape[0]/fs\n","\n","print(f'Duracion = {duracion} , Frecuencia de Muestreo = {fs} [Muestras/Seg]' \\\n"," f', Wav format = {Audiodata.dtype}')"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"MUNmH0xBAq56","outputId":"ef2ef9c5-33e9-4b8a-c782-9d597a34204c","executionInfo":{"status":"ok","timestamp":1668541817366,"user_tz":180,"elapsed":5,"user":{"displayName":"Sergio Eduardo Moya","userId":"17933338448051747275"}}},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Duracion = 11.242666666666667 , Frecuencia de Muestreo = 48000 [Muestras/Seg], Wav format = int16\n"]}]},{"cell_type":"code","source":["dt = 1/fs # Tiempo entre muestras\n","t = np.arange(0, duracion, dt) # Se genera el vector tiempo\n","x = Audiodata[:,0] # Esto se hace ya que Audiodata tiene 2 columnas (2 canales!)"],"metadata":{"id":"2J39QdxeBRqd"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["##Actividad Nº1: Muestreo y efectos en el audio"],"metadata":{"id":"k2XrR_kEz2O_"}},{"cell_type":"markdown","source":["###Reprodución con distintas tasas de muestreo"],"metadata":{"id":"LVRPO9rUlA9S"}},{"cell_type":"markdown","source":["Con tasa de muestreo original:"],"metadata":{"id":"6vL2iFTkld3T"}},{"cell_type":"code","source":["Audio(x, rate=fs)"],"metadata":{"id":"nhQO7IDO-QWM","colab":{"base_uri":"https://localhost:8080/","height":75},"executionInfo":{"status":"ok","timestamp":1668541820990,"user_tz":180,"elapsed":3627,"user":{"displayName":"Sergio Eduardo Moya","userId":"17933338448051747275"}},"outputId":"95a7cf7f-4518-4d28-a9ea-9da5e8ee115b"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""],"text/html":["\n"," \n"," "]},"metadata":{},"execution_count":25}]},{"cell_type":"markdown","source":["Utiliza el doble de la tasa de muestreo y escucha qué pasa:"],"metadata":{"id":"PoyKor3ils0J"}},{"cell_type":"code","source":[],"metadata":{"id":"3VUPMLu3h7J1"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["Y ahora con la mitad de la tasa de muestreo:"],"metadata":{"id":"4QIrP9KTl5l3"}},{"cell_type":"code","source":[],"metadata":{"id":"KmckSxeUhnTb"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["###Gráfica del audio en el tiempo"],"metadata":{"id":"O2UMmFbf7CGD"}},{"cell_type":"code","source":["plt.stem(t,x,label='Audio', use_line_collection=True)\n","plt.xlim(t[0],t[-1])\n","plt.xlabel('Tiempo')\n","plt.ylabel('Amplitud')\n","plt.legend()\n","plt.show()"],"metadata":{"id":"ZIjqDw_g9wRL","colab":{"base_uri":"https://localhost:8080/","height":505},"executionInfo":{"status":"ok","timestamp":1668541827450,"user_tz":180,"elapsed":6470,"user":{"displayName":"Sergio Eduardo Moya","userId":"17933338448051747275"}},"outputId":"2bca0dfb-f242-4420-dfba-f8f170cfba5b"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["
"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["Ventana para visulaizar la señal de forma discreta:"],"metadata":{"id":"Z2HGlMUyD0B4"}},{"cell_type":"code","source":["INICIO = 10000\n","FIN = 10300 # Limite 539647\n","\n","plt.stem(t[INICIO:FIN],x[INICIO:FIN],label='Audio', use_line_collection=True)\n","plt.xlim(t[INICIO],t[FIN])\n","plt.xlabel('Muestras')\n","plt.ylabel('Amplitud')\n","plt.legend()\n","plt.show()"],"metadata":{"id":"nqca5Ev8pnSV","colab":{"base_uri":"https://localhost:8080/","height":505},"executionInfo":{"status":"ok","timestamp":1668541827450,"user_tz":180,"elapsed":19,"user":{"displayName":"Sergio Eduardo Moya","userId":"17933338448051747275"}},"outputId":"cc6265f5-9e66-45ae-e6ff-5afee0e92218"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["
"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["##Actividad Nº2: Ecos y Transformada Z"],"metadata":{"id":"SMQtQWYjFBi7"}},{"cell_type":"markdown","source":["Ingresa las constantes a utilizar:"],"metadata":{"id":"CRPiB1sMgGv_"}},{"cell_type":"code","source":["#N = # Numero de muestras usado para cada atraso\n","\n","#A = # Ganancia (o atenuación) del primer atraso \n","#B = # Ganancia (o atenuación) del segundo atraso "],"metadata":{"id":"rR64uzHoFKMh"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["Se genera un [arreglo de ceros](https://numpy.org/doc/stable/reference/generated/numpy.zeros.html#numpy-zeros) de tamaño N"],"metadata":{"id":"WTHLuo0cN28q"}},{"cell_type":"code","source":["zeros = np.zeros(N)"],"metadata":{"id":"j_Yt2jZJLvNc"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["###Ecos"],"metadata":{"id":"x7csSLFXGk5K"}},{"cell_type":"markdown","source":["Se generan 3 señales: \n","* `Uno` -> Original (a la cual se añaden ceros para tener el mismo tamaño que las siguientes) \n","* `Dos`-> Señal atenuada y con 1 atraso\n","* `Tres` -> Señal atenuada y con 2 atrasos "],"metadata":{"id":"HhnNdzwMiTn_"}},{"cell_type":"code","source":["uno = np.concatenate((x, zeros, zeros), axis=0) # Señal original\n","dos = np.concatenate((zeros, A * x, zeros), axis=0) # Señal con 1 atraso\n","tres = np.concatenate((zeros, zeros, B * x), axis=0) # Señal con 2 atrasos"],"metadata":{"id":"AykE2VONLqMY"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["Gráficas de las señales generadas:"],"metadata":{"id":"pv8Y_CRVNP4X"}},{"cell_type":"code","source":["n = np.arange(len(uno))\n","\n","figura, axs = plt.subplots(3,1)\n","\n","plt.sca(axs[0])\n","plt.stem(n,uno,label='Uno', use_line_collection=True)\n","plt.xlim(n[0],n[-1])\n","plt.ylim(uno.min(), uno.max())\n","plt.legend()\n","\n","plt.sca(axs[1])\n","plt.stem(n,dos,label='Dos', use_line_collection=True)\n","plt.xlim(n[0],n[-1])\n","plt.ylim(uno.min(), uno.max())\n","plt.legend()\n","\n","plt.sca(axs[2])\n","plt.stem(n,tres,label='Tres', use_line_collection=True)\n","plt.xlim(n[0],n[-1])\n","plt.ylim(uno.min(), uno.max())\n","plt.legend()\n","\n","plt.show()\n"],"metadata":{"id":"2dIjmginNTmU","colab":{"base_uri":"https://localhost:8080/","height":487},"executionInfo":{"status":"ok","timestamp":1668541850716,"user_tz":180,"elapsed":22731,"user":{"displayName":"Sergio Eduardo Moya","userId":"17933338448051747275"}},"outputId":"2dcfc4c4-5d1e-4189-ae17-2627adf9ded9"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["
"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["Ahora se suma la señal con su versión atrasada N y 2xN (simil ECO), obteniendo así la señal con 2 ecos:"],"metadata":{"id":"RETd_CZUJNhc"}},{"cell_type":"code","source":["y_ecos = uno + dos + tres"],"metadata":{"id":"lhKtKanSMZQ8"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["Audio(y_ecos, rate=fs)"],"metadata":{"id":"IRZgyUx-MhEh","colab":{"base_uri":"https://localhost:8080/","height":75},"executionInfo":{"status":"ok","timestamp":1668541854687,"user_tz":180,"elapsed":4022,"user":{"displayName":"Sergio Eduardo Moya","userId":"17933338448051747275"}},"outputId":"fa9fdfe6-556f-4f9d-e5f1-43fe7537a794"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""],"text/html":["\n"," \n"," "]},"metadata":{},"execution_count":33}]},{"cell_type":"markdown","source":["###Transformada Z"],"metadata":{"id":"VD94bqxWGmqa"}},{"cell_type":"markdown","source":["####Creación de la función de Transferencia Z"],"metadata":{"id":"9b2q65K6WCAi"}},{"cell_type":"markdown","source":["Conociendo el diagrama de simulación del eco y la ecuación a diferencias, habrás obtenido una función de transferencia con la siguiente estructura:\n","\n","\n","$$H(z)=\\frac{b_{0}+b_{1}z^{-1}+b_{2}z^{-2}+...+b_{M-1}z^{-M-1}+b_{M}z^{-M}}{1}$$\n","\n","\n","El método `lfilter` que se utilizará para aplicar el filtro a la señal (se recomienda leer la documentación: [scipy.signal.lfilter](https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.lfilter.html)), necesita de dos arreglos:\n","* El numerador `b` (en nuestro código los llamamos `num`)\n","* El denominador `a` (los llamamos `den`). \n","\n","Cada elemento del arreglo corresponde al valor del coeficiente que acompaña a cada término de z:\n","\n","$$b[0] + b[1]z^{-1} + ... + b[M]z^{-M}$$\n","\n","Es decir:\n","* b[0] corresponde al coeficiente que acompaña a $z^{0}$\n","* b[1] corresponde al coeficiente que acompaña a $z^{-1}$\n","* b[M] corresponde al coeficiente que acompaña a $z^{-M}$\n","\n","\n","\n"],"metadata":{"id":"3TC_0cmdr2QG"}},{"cell_type":"code","source":["num = np.zeros(1+2*N) # Para dar el tamaño necesario del numerador"],"metadata":{"id":"tqFKUwOOKFu1"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["den = np.array([1,])"],"metadata":{"id":"hz0BtTbPLAfZ"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["Comprendiendo el funcionamiento del método `lfilter`, se propone asignar los elementos corespondientes del arreglo `num`:"],"metadata":{"id":"eTARPHA_tnjo"}},{"cell_type":"code","source":["# Recorda que la asignación de un elemento es de la forma num[i]=4.3"],"metadata":{"id":"IkpWtdzeKyEA"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["####Aplicación de la transformada Z a la señal x"],"metadata":{"id":"eiVeZsGKkJZs"}},{"cell_type":"code","source":["x_2 = np.concatenate((x, np.zeros(2*N)), axis=0) # Esto se hace ya que el output de lfilter tiene la misma dimensión que la señal input"],"metadata":{"id":"hjQ295BVZd_e"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["y_filter = lfilter(num,den,x_2)"],"metadata":{"id":"Xj4qIB8PLu74"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["Audio(y_filter, rate=fs)"],"metadata":{"id":"u3Ekwen3OGRt","colab":{"base_uri":"https://localhost:8080/","height":75},"executionInfo":{"status":"ok","timestamp":1668542118080,"user_tz":180,"elapsed":3722,"user":{"displayName":"Sergio Eduardo Moya","userId":"17933338448051747275"}},"outputId":"42d69c2f-5206-40ab-fab3-822a2fc6f9a6"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""],"text/html":["\n"," \n"," "]},"metadata":{},"execution_count":44}]},{"cell_type":"markdown","source":["###Ecos vs Transformada Z"],"metadata":{"id":"WVbOumFjLQAq"}},{"cell_type":"code","source":["figura, axs = plt.subplots(2,1)\n","\n","plt.sca(axs[0])\n","plt.stem(n,y_ecos,label='Ecos', use_line_collection=True)\n","plt.xlim(n[0],n[-1])\n","plt.ylim(y_ecos.min(), y_ecos.max())\n","plt.legend()\n","\n","n_filter = np.arange(len(x_2))\n","plt.sca(axs[1])\n","plt.stem(n_filter,y_filter,label='Transformada Z', use_line_collection=True)\n","plt.xlim(n_filter[0],n_filter[-1])\n","plt.ylim(y_filter.min(), y_filter.max())\n","plt.legend()\n","\n","plt.show()"],"metadata":{"id":"RzMR81XKZbEx","colab":{"base_uri":"https://localhost:8080/","height":487},"executionInfo":{"status":"ok","timestamp":1668542142121,"user_tz":180,"elapsed":16899,"user":{"displayName":"Sergio Eduardo Moya","userId":"17933338448051747275"}},"outputId":"5b72a29a-6177-43de-efc7-e2441cc12ba3"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["
"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["Programación: Rodriguez, Mariano David.\n","Becario de Señales y Sistemas (IC 324)\n","Facultad de Ingeniería - Oberá\n","Universidad Nacional de Misiones"],"metadata":{"id":"6z8a32Du3TVA"}},{"cell_type":"code","source":[],"metadata":{"id":"ro_rhWBN3FDY"},"execution_count":null,"outputs":[]}]}