{"id":10987,"date":"2022-12-08T12:13:59","date_gmt":"2022-12-08T11:13:59","guid":{"rendered":"https:\/\/gaudiosolutions.com\/?p=10987"},"modified":"2022-12-08T12:17:37","modified_gmt":"2022-12-08T11:17:37","slug":"1-optimizacion-de-sistemas-conceptos-generales","status":"publish","type":"post","link":"https:\/\/www.gaudiosolutions.com\/en\/1-optimizacion-de-sistemas-conceptos-generales\/","title":{"rendered":"1- Optimizaci\u00f3n de Sistemas, Conceptos generales"},"content":{"rendered":"<p class=\"p1\"><span style=\"color: #000000;\">Este documento pretende ser el primero de muchos otros relacionados con el dise\u00f1o y la optimizaci\u00f3n de sistemas de sonido.\u00a0<\/span><\/p>\n<h4 class=\"p1\"><strong>El sonido<\/strong><\/h4>\n<p class=\"p2\"><span style=\"color: #000000;\">El sonido se produce como consecuencia de la vibraciones de las part\u00edculas del aire debido a una fuente sonora y genera ondas mec\u00e1nicas longitudinales que transportan energ\u00eda pero no masa.<\/span><\/p>\n<p class=\"p2\"><span style=\"color: #000000;\">Sin entrar en demasiados detalles acad\u00e9micos, podemos pensar en el sonido como en un movimiento, un movimiento oscilante de las part\u00edculas de aire respecto de su posici\u00f3n de equilibrio.\u00a0<\/span><\/p>\n<p class=\"p2\"><span style=\"color: #000000;\">El sonido en el aire produce compresiones y rarefacciones de forma c\u00edclica. Definiremos un ciclo como un viaje de ida y vuelta a su posici\u00f3n de equilibrio.<\/span><\/p>\n<h4 class=\"p1\"><strong>Tiempo, distancia y frecuencia<\/strong><\/h4>\n<p class=\"p1\"><span style=\"color: #000000;\">Definimos frecuencia c\u00f3mo el n\u00famero de ciclos (viajes de ida vuelta su posici\u00f3n de equilibrio) que se producen en 1 segundo y su unidad es el Hz<\/span><\/p>\n<p class=\"p1\"><span style=\"color: #000000;\">Como se comenta anteriormente, el sonido es un movimiento c\u00edclico por lo que solamente ser\u00e1 necesario conocer lo que sucede durante un ciclo para predecir su<\/span><\/p>\n<p class=\"p1\"><span style=\"color: #000000;\">comportamiento.\u00a0<\/span><\/p>\n<p class=\"p1\"><span style=\"color: #000000;\">Y cu\u00e1nto tiempo ser\u00e1 necesario para que se complete un ciclo? Pues la respuesta es siempre la misma \u201cdepende\u201d, depende de la frecuencia.<\/span><\/p>\n<p class=\"p1\"><span style=\"color: #000000;\">Periodo (T): Definimos periodo como <\/span><span style=\"color: #000000;\">el tiempo (s) necesario para que se complete un <\/span><span style=\"color: #000000;\">ciclo.\u00a0<\/span><\/p>\n<h3 style=\"text-align: center;\"><span style=\"color: #000000;\">T = 1\/f<\/span><\/h3>\n<p class=\"p1\"><span style=\"color: #000000;\">Longitud de onda (\u03bb): Definimos longitud de onda como la distancia (m) necesaria para <\/span><span style=\"color: #000000;\">que se complete un ciclo.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p class=\"p1\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-10990 aligncenter\" src=\"https:\/\/gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/1.png\" alt=\"\" width=\"292\" height=\"248\" \/><\/p>\n<p>&nbsp;<\/p>\n<p class=\"p1\"><span style=\"color: #000000;\">Como vemos la longitud de onda depende de la velocidad de propagaci\u00f3n, y la velocidad de propagaci\u00f3n depende del medio por el cual se transmite.<\/span><\/p>\n<p class=\"p1\"><span style=\"color: #000000;\">En la atm\u00f3sfera terrestre a 20\u00ba Celsius de temperatura es de 343 m por segundo. Aunque en la mayor\u00eda de ejemplos que haremos redondearemos a una velocidad de propagaci\u00f3n\u00a0de 340 m\/s para facilitar los c\u00e1lculos<\/span><\/p>\n<h4 class=\"p1\"><strong><span style=\"color: #000000;\">La onda sinusoidal y la velocidad angular<\/span><\/strong><\/h4>\n<p class=\"p1\"><span class=\"s1\" style=\"color: #000000;\"><a href=\"https:\/\/gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/2.png\"><img decoding=\"async\" class=\" wp-image-10999 aligncenter\" src=\"https:\/\/gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/2.png\" alt=\"\" width=\"689\" height=\"300\" srcset=\"https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/2.png 556w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/2-300x131.png 300w\" sizes=\"(max-width: 689px) 100vw, 689px\" \/><\/a><\/span><\/p>\n<p class=\"p1\"><span class=\"s1\" style=\"color: #000000;\">El Teorema de Fourier nos dice que toda forma de onda puede expresarse como una suma de ondas sinusoidales. La onda sinusoidal es la representaci\u00f3n matem\u00e1tica m\u00e1s b\u00e1sica de una se\u00f1al de audio.\u00a0<\/span><\/p>\n<p class=\"p1\"><span style=\"color: #000000;\"><span class=\"s1\">Su forma m\u00e1s sencilla en funci\u00f3n del tiempo es:<\/span><span class=\"s2\"> <i>y(t) = A*sin(\u03c9t+<\/i><\/span><span class=\"s3\">\ud835\udf11<\/span><span class=\"s2\"><i>)<\/i><\/span><\/span><\/p>\n<p class=\"p1\"><span style=\"color: #000000;\"><span class=\"s1\">Donde: A<span class=\"Apple-converted-space\">\u00a0 <\/span>= Amplitud de la oscilaci\u00f3n, \u03c9 = Velocidad angular 2\u03c0f<span class=\"Apple-converted-space\">\u00a0 <\/span>, <\/span><span class=\"s4\">\ud835\udf11<\/span><span class=\"s1\"> = fase inicial\u00a0<\/span><\/span><\/p>\n<p class=\"p1\"><span class=\"s1\" style=\"color: #000000;\">Si bien representar gr\u00e1ficamente la onda sinusoidal puede ser \u00fatil para visualizar la frecuencia, el periodo y la longitud de onda, necesitaremos, como veremos m\u00e1s adelante,<span class=\"Apple-converted-space\">\u00a0 <\/span>alg\u00fan m\u00e9todo que nos permita f\u00e1cilmente pasar el tiempo o la distancia a grados o viceversa. Para ello, puede ser \u00fatil pensar en la velocidad angular.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><img decoding=\"async\" class=\" wp-image-11002 aligncenter\" src=\"https:\/\/gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/3.png\" alt=\"\" width=\"653\" height=\"297\" srcset=\"https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/3.png 550w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/3-300x136.png 300w\" sizes=\"(max-width: 653px) 100vw, 653px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p class=\"p1\"><span class=\"s1\" style=\"color: #000000;\">Podemos definir el tama\u00f1o o tiempo de un circulo en base a la longitud de onda o el periodo de la frecuencia. Por ejemplo, si estuvi\u00e9ramos hablando de una frecuencia de 1 kHz podr\u00edamos pensar que el tiempo necesario para que se complete un circulo (360\u00ba) es de 1 ms o que la distancia necesaria para que se complete el circulo es de 0.34 m<\/span><\/p>\n<p class=\"p1\"><span class=\"s1\" style=\"color: #000000;\">Podemos sustituir ciclo por circulo sabiendo que 360\u00ba equivaldr\u00e1 al periodo o la longitud de onda de la frecuencia y relacionar f\u00e1cilmente en grados las diferencias de tiempo o distancia.<\/span><\/p>\n<p class=\"p1\"><span class=\"s1\" style=\"color: #000000;\">Otro concepto interesante que detallaremos m\u00e1s adelante en los procesos de ajuste es darse cuenta que 2 frecuencias pueden encontrarse vibrando en el mismo estado pero no tener el mismo tiempo. Aprenderemos a detectarlo en el analizador<\/span><\/p>\n<h4 class=\"p1\"><span class=\"s1\" style=\"color: #000000;\"><b>Forma de onda<\/b><\/span><\/h4>\n<p class=\"p2\"><span class=\"s1\" style=\"color: #000000;\">Las ondas sonoras a distintas frecuencias se combinan y generan una nueva se\u00f1al que es la suma de las se\u00f1ales contribuyentes. La fase de las frecuencias individuales afectar\u00e1 a la forma general pero mantendr\u00e1n sus identidades separadas.<\/span><\/p>\n<p class=\"p2\"><span class=\"s1\" style=\"color: #000000;\">Cuando se combinan dos se\u00f1ales de la misma frecuencia su suma depender\u00e1 del nivel y la fase relativa.<\/span><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/4.png\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-11008 aligncenter\" src=\"https:\/\/gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/4-1024x281.png\" alt=\"\" width=\"733\" height=\"201\" srcset=\"https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/4-1024x281.png 1024w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/4-300x82.png 300w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/4-768x211.png 768w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/4-1536x422.png 1536w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/4-2048x563.png 2048w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/4-700x192.png 700w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/4-1100x302.png 1100w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/4-600x165.png 600w\" sizes=\"(max-width: 733px) 100vw, 733px\" \/> <\/a><span class=\"s1\" style=\"color: #000000;\">Forma de onda (onda cuadrada) expresada en el dominio del tiempo<\/span><a href=\"https:\/\/gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/5.png\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-11011 aligncenter\" src=\"https:\/\/gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/5-1024x282.png\" alt=\"\" width=\"737\" height=\"203\" srcset=\"https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/5-1024x282.png 1024w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/5-300x83.png 300w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/5-768x212.png 768w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/5-1536x423.png 1536w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/5-2048x564.png 2048w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/5-700x193.png 700w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/5-1100x303.png 1100w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/5-600x165.png 600w\" sizes=\"(max-width: 737px) 100vw, 737px\" \/><\/a><span class=\"s1\" style=\"color: #000000;\">Descomposici\u00f3n de la forma de onda en sus componentes sinusoidales<\/span><a href=\"https:\/\/gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/6.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11045\" src=\"https:\/\/gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/6.png\" alt=\"\" width=\"739\" height=\"225\" srcset=\"https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/6.png 2716w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/6-300x91.png 300w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/6-1024x311.png 1024w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/6-768x234.png 768w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/6-1536x467.png 1536w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/6-2048x623.png 2048w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/6-700x213.png 700w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/6-1100x335.png 1100w, https:\/\/www.gaudiosolutions.com\/wp-content\/uploads\/2022\/12\/6-600x182.png 600w\" sizes=\"(max-width: 739px) 100vw, 739px\" \/><\/a><span class=\"s1\" style=\"color: #000000;\">Forma de onda expresada en el dominio de la frecuencia<\/span><\/p>\n<p>&nbsp;<\/p>\n<p class=\"p1\"><span class=\"s1\" style=\"color: #000000;\">Constantemente en estos art\u00edculos estaremos relacionando se\u00f1ales tanto expresadas en el dominio del tiempo como en el de la frecuencia. Y el analizador en su funci\u00f3n m\u00e1s b\u00e1sica, la FFT (Fast Fourier Transform) nos permitir\u00e1 cambiar la visualizaci\u00f3n del dominio de una se\u00f1al.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Este documento pretende ser el primero de muchos otros relacionados con el dise\u00f1o y la optimizaci\u00f3n de sistemas de sonido.\u00a0 El sonido El sonido se produce como consecuencia de la vibraciones de las part\u00edculas del aire debido a una fuente sonora y genera ondas mec\u00e1nicas longitudinales que transportan energ\u00eda pero no masa. Sin entrar en [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":11002,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[40,161,53],"tags":[63,159,42],"class_list":["post-10987","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-analisis","category-articulos","category-rita","tag-analysis","tag-articulos","tag-rita"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>1- Optimizaci\u00f3n de Sistemas, Conceptos generales - Global Audio Solutions<\/title>\n<meta name=\"description\" content=\"Este documento pretende ser el primero de muchos otros relacionados con el dise\u00f1o y laoptimizaci\u00f3n de sistemas de sonido.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.gaudiosolutions.com\/1-optimizacion-de-sistemas-conceptos-generales\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"1- Optimizaci\u00f3n de Sistemas, Conceptos generales - 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