. . . . "202672"^^ . . "\u30B9\u30DA\u30AF\u30C8\u30EB\u5BC6\u5EA6\uFF08\u30B9\u30DA\u30AF\u30C8\u30EB\u307F\u3064\u3069\u3001\u82F1: Spectral density\uFF09\u306F\u3001\u5B9A\u5E38\u904E\u7A0B\u306B\u95A2\u3059\u308B\u5468\u6CE2\u6570\u5024\u306E\u6B63\u5B9F\u6570\u306E\u95A2\u6570\u307E\u305F\u306F\u6642\u9593\u306B\u95A2\u3059\u308B\u6C7A\u5B9A\u7684\u306A\u95A2\u6570\u3067\u3042\u308B\u3002\u30D1\u30EF\u30FC\u30B9\u30DA\u30AF\u30C8\u30EB\u5BC6\u5EA6\uFF08\u96FB\u529B\u30B9\u30DA\u30AF\u30C8\u30EB\u5BC6\u5EA6\u3001\u82F1: Power spectral density\uFF09\u3001\u30A8\u30CD\u30EB\u30AE\u30FC\u30B9\u30DA\u30AF\u30C8\u30EB\u5BC6\u5EA6\uFF08\u82F1: Energy spectral density\u3001ESD\uFF09\u3068\u3082\u3002\u5358\u306B\u4FE1\u53F7\u306E\u30B9\u30DA\u30AF\u30C8\u30EB\u3068\u8A00\u3063\u305F\u3068\u304D\u3001\u30B9\u30DA\u30AF\u30C8\u30EB\u5BC6\u5EA6\u3092\u6307\u3059\u3053\u3068\u3082\u3042\u308B\u3002\u76F4\u89B3\u7684\u306B\u306F\u3001\u30B9\u30DA\u30AF\u30C8\u30EB\u5BC6\u5EA6\u306F\u78BA\u7387\u904E\u7A0B\u306E\u5468\u6CE2\u6570\u8981\u7D20\u3092\u6349\u3048\u308B\u3082\u306E\u3067\u3001\u5468\u671F\u6027\u3092\u8B58\u5225\u3059\u308B\u306E\u3092\u52A9\u3051\u308B\u3002"@ja . . "En matem\u00E1ticas y en f\u00EDsica, la Densidad Espectral (Spectral Density) de una se\u00F1al es una funci\u00F3n matem\u00E1tica que nos informa de c\u00F3mo est\u00E1 distribuida la potencia o la energ\u00EDa (seg\u00FAn el caso) de dicha se\u00F1al sobre las distintas frecuencias de las que est\u00E1 formada.La definici\u00F3n matem\u00E1tica de la Densidad Espectral (DE) es diferente dependiendo de si se trata de se\u00F1ales definidas en energ\u00EDa, en cuyo caso hablamos de Densidad Espectral de Energ\u00EDa (DEE), o en potencia, en cuyo caso hablamos de Densidad Espectral de Potencia (DEP).Aunque la densidad espectral no es exactamente lo mismo que el espectro de una se\u00F1al, a veces ambos t\u00E9rminos se usan indistintamente, lo cual, en rigor, es incorrecto."@es . "1122532300"^^ . . . . "#F5FFFA"@en . . . "The power spectrum of a time series describes the distribution of power into frequency components composing that signal. According to Fourier analysis, any physical signal can be decomposed into a number of discrete frequencies, or a spectrum of frequencies over a continuous range. The statistical average of a certain signal or sort of signal (including noise) as analyzed in terms of its frequency content, is called its spectrum. When the energy of the signal is concentrated around a finite time interval, especially if its total energy is finite, one may compute the energy spectral density. More commonly used is the power spectral density (or simply power spectrum), which applies to signals existing over all time, or over a time period large enough (especially in relation to the duration of a measurement) that it could as well have been over an infinite time interval. The power spectral density (PSD) then refers to the spectral energy distribution that would be found per unit time, since the total energy of such a signal over all time would generally be infinite. Summation or integration of the spectral components yields the total power (for a physical process) or variance (in a statistical process), identical to what would be obtained by integrating over the time domain, as dictated by Parseval's theorem. The spectrum of a physical process often contains essential information about the nature of . For instance, the pitch and timbre of a musical instrument are immediately determined from a spectral analysis. The color of a light source is determined by the spectrum of the electromagnetic wave's electric field as it fluctuates at an extremely high frequency. Obtaining a spectrum from time series such as these involves the Fourier transform, and generalizations based on Fourier analysis. In many cases the time domain is not specifically employed in practice, such as when a dispersive prism is used to obtain a spectrum of light in a spectrograph, or when a sound is perceived through its effect on the auditory receptors of the inner ear, each of which is sensitive to a particular frequency. However this article concentrates on situations in which the time series is known (at least in a statistical sense) or directly measured (such as by a microphone sampled by a computer). The power spectrum is important in statistical signal processing and in the statistical study of stochastic processes, as well as in many other branches of physics and engineering. Typically the process is a function of time, but one can similarly discuss data in the spatial domain being decomposed in terms of spatial frequency."@en . . . . . . . "Densidad espectral"@es . . . . . . . . . "35610"^^ . . . . . . . . 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"\u0421\u043F\u0435\u043A\u0442\u0440\u0430\u0301\u043B\u044C\u043D\u0430 \u0433\u0443\u0441\u0442\u0438\u043D\u0430\u0301 \u2014 \u0444\u0443\u043D\u043A\u0446\u0456\u044F , \u044F\u043A\u0430 \u0432\u0438\u0437\u043D\u0430\u0447\u0430\u0454\u0442\u044C\u0441\u044F \u0434\u043B\u044F \u0441\u0442\u0430\u0446\u0456\u043E\u043D\u0430\u0440\u043D\u043E\u0433\u043E \u0432 \u0448\u0438\u0440\u043E\u043A\u043E\u043C\u0443 \u0441\u0435\u043D\u0441\u0456 \u0432\u0438\u043F\u0430\u0434\u043A\u043E\u0432\u043E\u0433\u043E \u043F\u0440\u043E\u0446\u0435\u0441\u0443, , \u2014 , \u044F\u043A \u043F\u043E\u0445\u0456\u0434\u043D\u0430 \u0437\u0430 \u0443\u043C\u043E\u0432\u0438, \u0449\u043E \u0441\u043F\u0435\u043A\u0442\u0440\u0430\u043B\u044C\u043D\u0430 \u0444\u0443\u043D\u043A\u0446\u0456\u044F \u0430\u0431\u0441\u043E\u043B\u044E\u0442\u043D\u043E \u043D\u0435\u043F\u0435\u0440\u0435\u0440\u0432\u043D\u0430. \u041D\u0435\u0445\u0430\u0439 \u043A\u043E\u0440\u0435\u043B\u044F\u0446\u0456\u0439\u043D\u0430 \u0444\u0443\u043D\u043A\u0446\u0456\u044F \u043F\u0440\u043E\u0446\u0435\u0441\u0443 \u0430\u0431\u0441\u043E\u043B\u044E\u0442\u043D\u043E \u0456\u043D\u0442\u0435\u0433\u0440\u043E\u0432\u0430\u043D\u0430 \u0432 \u0456\u043D\u0442\u0435\u0440\u0432\u0430\u043B\u0456 . \u0422\u043E\u0434\u0456 \u0441\u043F\u0435\u043A\u0442\u0440\u0430\u043B\u044C\u043D\u0430 \u0433\u0443\u0441\u0442\u0438\u043D\u0430 \u0456 \u0454 \u043D\u0435\u0432\u0456\u0434'\u0454\u043C\u043D\u043E\u044E \u0444\u0443\u043D\u043A\u0446\u0456\u0454\u044E. \u0421\u043F\u0435\u043A\u0442\u0440\u0430\u043B\u044C\u043D\u0430 \u0449\u0456\u043B\u044C\u043D\u0456\u0441\u0442\u044C (\u0441\u043F\u0435\u043A\u0442\u0440\u0430\u043B\u044C\u043D\u0430 \u0456\u043D\u0442\u0435\u043D\u0441\u0438\u0432\u043D\u0456\u0441\u0442\u044C) \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043D\u0456\u0439 \u0444\u0456\u0437\u0438\u0446\u0456 \u2014 \u043A\u043E\u0435\u0444\u0456\u0446\u0456\u0454\u043D\u0442\u0438 \u0440\u043E\u0437\u043A\u043B\u0430\u0434\u0430\u043D\u043D\u044F \u0447\u0430\u0441\u043E\u0432\u0438\u0445 \u043A\u043E\u0440\u0435\u043B\u044F\u0446\u0456\u0439\u043D\u0438\u0445 \u0444\u0443\u043D\u043A\u0446\u0456\u0439 \u0432 \u0456\u043D\u0442\u0435\u0433\u0440\u0430\u043B \u0424\u0443\u0440'\u0454. \u0421\u043F\u0435\u043A\u0442\u0440\u0430\u043B\u044C\u043D\u0430 \u0433\u0443\u0441\u0442\u0438\u043D\u0430 \u043F\u043E\u0442\u0443\u0436\u043D\u043E\u0441\u0442\u0456 - \u0444\u0443\u043D\u043A\u0446\u0456\u044F, \u0449\u043E \u043E\u043F\u0438\u0441\u0443\u0454 \u0440\u043E\u0437\u043F\u043E\u0434\u0456\u043B \u043F\u043E\u0442\u0443\u0436\u043D\u043E\u0441\u0442\u0456 \u0441\u0438\u0433\u043D\u0430\u043B\u0443 \u0437\u0430\u043B\u0435\u0436\u043D\u043E \u0432\u0456\u0434 \u0447\u0430\u0441\u0442\u043E\u0442\u0438, \u0442\u043E\u0431\u0442\u043E \u043F\u043E\u0442\u0443\u0436\u043D\u0456\u0441\u0442\u044C, \u0449\u043E \u043F\u0440\u0438\u043F\u0430\u0434\u0430\u0454 \u043D\u0430 \u043E\u0434\u0438\u043D\u0438\u0447\u043D\u0438\u0439 \u0456\u043D\u0442\u0435\u0440\u0432\u0430\u043B \u0447\u0430\u0441\u0442\u043E\u0442\u0438."@uk . "In elettronica e teoria dei segnali un segnale pu\u00F2 essere rappresentato come un vettore nello spazio complesso a infinite dimensioni, in particolare uno spazio di Hilbert. Una volta introdotto l'apparato matematico vettoriale dei segnali nello spazio di Hilbert possiamo definire l'energia di un segnale come: dove \u00E8 il segnale. Da notare che le energie non sono additive nello spazio di Hilbert dei segnali, infatti: dove il termine \u00E8 chiamato termine di cross energy. Se il segnale \u00E8 una tensione allora l'unit\u00E0 di misura dell'energia \u00E8 , se invece \u00E8 una corrente elettrica allora ."@it . "\u0421\u043F\u0435\u043A\u0442\u0440\u0430\u0301\u043B\u044C\u043D\u0430\u044F \u043F\u043B\u043E\u0301\u0442\u043D\u043E\u0441\u0442\u044C \u043C\u043E\u0301\u0449\u043D\u043E\u0441\u0442\u0438 (\u0421\u041F\u041C) \u0432 \u0444\u0438\u0437\u0438\u043A\u0435 \u0438 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0435 \u0441\u0438\u0433\u043D\u0430\u043B\u043E\u0432 \u2014 \u0444\u0443\u043D\u043A\u0446\u0438\u044F, \u043E\u043F\u0438\u0441\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0440\u0430\u0441\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u0435 \u043C\u043E\u0449\u043D\u043E\u0441\u0442\u0438 \u0441\u0438\u0433\u043D\u0430\u043B\u0430 \u0432 \u0437\u0430\u0432\u0438\u0441\u0438\u043C\u043E\u0441\u0442\u0438 \u043E\u0442 \u0447\u0430\u0441\u0442\u043E\u0442\u044B, \u0442\u043E \u0435\u0441\u0442\u044C \u043C\u043E\u0449\u043D\u043E\u0441\u0442\u044C, \u043F\u0440\u0438\u0445\u043E\u0434\u044F\u0449\u0430\u044F\u0441\u044F \u043D\u0430 \u0435\u0434\u0438\u043D\u0438\u0447\u043D\u044B\u0439 \u0438\u043D\u0442\u0435\u0440\u0432\u0430\u043B \u0447\u0430\u0441\u0442\u043E\u0442\u044B. \u0418\u043C\u0435\u0435\u0442 \u0440\u0430\u0437\u043C\u0435\u0440\u043D\u043E\u0441\u0442\u044C \u043C\u043E\u0449\u043D\u043E\u0441\u0442\u0438, \u0434\u0435\u043B\u0451\u043D\u043D\u043E\u0439 \u043D\u0430 \u0447\u0430\u0441\u0442\u043E\u0442\u0443, \u0442\u043E \u0435\u0441\u0442\u044C \u044D\u043D\u0435\u0440\u0433\u0438\u0438. \u041D\u0430\u043F\u0440\u0438\u043C\u0435\u0440, \u0432 \u041C\u0435\u0436\u0434\u0443\u043D\u0430\u0440\u043E\u0434\u043D\u043E\u0439 \u0441\u0438\u0441\u0442\u0435\u043C\u0435 \u0435\u0434\u0438\u043D\u0438\u0446 (\u0421\u0418): \u0412\u0442/\u0413\u0446 = \u0412\u0442/\u0441\u22121 = \u0412\u0442\u00B7\u0441."@ru . "\u6642\u9593\u5E8F\u5217 \u7684\u529F\u7387\u8C31 \u63CF\u8FF0\u4E86\u4FE1\u53F7\u529F\u7387\u5728\u9891\u57DF\u7684\u5206\u5E03\u72B6\u51B5\u3002\u6839\u636E\u5085\u91CC\u53F6\u5206\u6790\uFF0C\u4EFB\u4F55\u7269\u7406\u4FE1\u53F7\u90FD\u53EF\u4EE5\u5206\u89E3\u6210\u4E00\u4E9B\u79BB\u6563\u9891\u7387\u6216\u8FDE\u7EED\u8303\u56F4\u7684\u9891\u8C31\u3002\u5BF9\u7279\u5B9A\u4FE1\u53F7\u6216\u7279\u5B9A\u79CD\u7C7B\u4FE1\u53F7\uFF08\u5305\u62EC\uFF09\u9891\u7387\u5185\u5BB9\u7684\u5206\u6790\u7684\u7EDF\u8BA1\u5E73\u5747\uFF0C\u79F0\u4F5C\u5176\u9891\u8C31\u3002 \u5F53\u4FE1\u53F7\u7684\u80FD\u91CF\u96C6\u4E2D\u5728\u4E00\u4E2A\u6709\u9650\u65F6\u95F4\u533A\u95F4\u7684\u65F6\u5019\uFF0C\u5C24\u5176\u662F\u603B\u80FD\u91CF\u662F\u6709\u9650\u7684\uFF0C\u5C31\u53EF\u4EE5\u8BA1\u7B97\u80FD\u91CF\u8C31\u5BC6\u5EA6\u3002\u66F4\u5E38\u7528\u7684\u662F\u5E94\u7528\u4E8E\u5728\u6240\u6709\u65F6\u95F4\u6216\u5F88\u957F\u4E00\u6BB5\u65F6\u95F4\u90FD\u5B58\u5728\u7684\u4FE1\u53F7\u7684\u529F\u7387\u8C31\u5BC6\u5EA6\u3002\u7531\u4E8E\u6B64\u79CD\u6301\u7EED\u5B58\u5728\u7684\u4FE1\u53F7\u7684\u603B\u80FD\u91CF\u662F\u65E0\u7A77\u5927\uFF0C\u529F\u7387\u8C31\u5BC6\u5EA6\uFF08\u82F1\u8A9E\uFF1APower Spectral Density\uFF0C\u7E2E\u5BEBPSD\uFF09\u5219\u662F\u6307\u5355\u4F4D\u65F6\u95F4\u7684\u9891\u8C31\u80FD\u91CF\u5206\u5E03\u3002\u9891\u8C31\u5206\u91CF\u7684\u6C42\u548C\u6216\u79EF\u5206\u4F1A\u5F97\u5230\uFF08\u7269\u7406\u8FC7\u7A0B\u7684\uFF09\u603B\u529F\u7387\u6216\uFF08\u7EDF\u8BA1\u8FC7\u7A0B\u7684\uFF09\u65B9\u5DEE\uFF0C\u8FD9\u4E0E\u5E15\u585E\u74E6\u5C14\u5B9A\u7406\u63CF\u8FF0\u7684\u5C06 \u5728\u65F6\u95F4\u57DF\u79EF\u5206\u6240\u5F97\u76F8\u540C\u3002 \u7269\u7406\u8FC7\u7A0B \u7684\u9891\u8C31\u901A\u5E38\u5305\u542B\u4E0E \u7684\u6027\u8D28\u76F8\u5173\u7684\u5FC5\u8981\u4FE1\u606F\u3002\u6BD4\u5982\uFF0C\u53EF\u4EE5\u4ECE\u9891\u8C31\u5206\u6790\u76F4\u63A5\u786E\u5B9A\u4E50\u5668\u7684\u97F3\u9AD8\u548C\u97F3\u8272\u3002\u7535\u78C1\u6CE2\u7535\u573A \u7684\u9891\u8C31\u53EF\u4EE5\u786E\u5B9A\u5149\u6E90\u7684\u989C\u8272\u3002\u4ECE\u8FD9\u4E9B\u65F6\u95F4\u5E8F\u5217\u4E2D\u5F97\u5230\u9891\u8C31\u5C31\u6D89\u53CA\u5230\u5085\u91CC\u53F6\u53D8\u6362\u4EE5\u53CA\u57FA\u4E8E\u5085\u91CC\u53F6\u5206\u6790\u7684\u63A8\u5E7F\u3002\u8BB8\u591A\u60C5\u51B5\u4E0B\u65F6\u95F4\u57DF\u4E0D\u4F1A\u5177\u4F53\u7528\u5728\u5B9E\u8DF5\u4E2D\uFF0C\u6BD4\u5982\u5728\u651D\u8B5C\u5100\u7528\u6563\u5C04\u68F1\u955C\u6765\u5F97\u5230\u5149\u8C31\uFF0C\u6216\u5728\u58F0\u97F3\u901A\u8FC7\u5185\u8033\u7684\u542C\u89C9\u611F\u53D7\u5668\u4E0A\u7684\u6548\u5E94\u6765\u611F\u77E5\u7684\u8FC7\u7A0B\uFF0C\u6240\u6709\u8FD9\u4E9B\u90FD\u662F\u5BF9\u7279\u5B9A\u9891\u7387\u654F\u611F\u7684\u3002"@zh . . . "Widmowa g\u0119sto\u015B\u0107 mocy, g\u0119sto\u015B\u0107 widmowa, g\u0119sto\u015B\u0107 widmowa mocy, g\u0119sto\u015B\u0107 widmowa energii \u2013 funkcja cz\u0119stotliwo\u015Bci, okre\u015Blona na zbiorze dodatnich liczb rzeczywistych, zwi\u0105zana ze stacjonarnym procesem stochastycznym lub deterministyczna funkcja czasu, kt\u00F3rej wymiary to moc na Hz, lub energia na Hz. Cz\u0119sto nazywana po prostu widmem sygna\u0142u."@pl . . . "Densit\u00E9 spectrale de puissance"@fr . . . . . . . . "\u8C31\u5BC6\u5EA6"@zh . . . . . . . . . . . . . "Effektspektrum f\u00F6r en stokastisk process beskriver hur energin \u00E4r f\u00F6rdelad i frekvensplanet, \u00E4ven kallad f\u00F6r processens spektralt\u00E4thet. Effektspektrumet definieras som Fourier-transformen f\u00F6r processens autokorrelationsfunktion. F\u00F6r en tidskontinuerlig stokastisk process definieras effektspektrumet som: F\u00F6r en tidsdiskret stokastisk process definieras effektspektrumet som:"@sv . "Spektra povuma distribuo"@eo . . . . . . . . . . . "Effektspektrum f\u00F6r en stokastisk process beskriver hur energin \u00E4r f\u00F6rdelad i frekvensplanet, \u00E4ven kallad f\u00F6r processens spektralt\u00E4thet. Effektspektrumet definieras som Fourier-transformen f\u00F6r processens autokorrelationsfunktion. F\u00F6r en tidskontinuerlig stokastisk process definieras effektspektrumet som: F\u00F6r en tidsdiskret stokastisk process definieras effektspektrumet som:"@sv . . . . "\u0421\u043F\u0435\u043A\u0442\u0440\u0430\u0301\u043B\u044C\u043D\u0430\u044F \u043F\u043B\u043E\u0301\u0442\u043D\u043E\u0441\u0442\u044C \u043C\u043E\u0301\u0449\u043D\u043E\u0441\u0442\u0438 (\u0421\u041F\u041C) \u0432 \u0444\u0438\u0437\u0438\u043A\u0435 \u0438 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0435 \u0441\u0438\u0433\u043D\u0430\u043B\u043E\u0432 \u2014 \u0444\u0443\u043D\u043A\u0446\u0438\u044F, \u043E\u043F\u0438\u0441\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0440\u0430\u0441\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u0435 \u043C\u043E\u0449\u043D\u043E\u0441\u0442\u0438 \u0441\u0438\u0433\u043D\u0430\u043B\u0430 \u0432 \u0437\u0430\u0432\u0438\u0441\u0438\u043C\u043E\u0441\u0442\u0438 \u043E\u0442 \u0447\u0430\u0441\u0442\u043E\u0442\u044B, \u0442\u043E \u0435\u0441\u0442\u044C \u043C\u043E\u0449\u043D\u043E\u0441\u0442\u044C, \u043F\u0440\u0438\u0445\u043E\u0434\u044F\u0449\u0430\u044F\u0441\u044F \u043D\u0430 \u0435\u0434\u0438\u043D\u0438\u0447\u043D\u044B\u0439 \u0438\u043D\u0442\u0435\u0440\u0432\u0430\u043B \u0447\u0430\u0441\u0442\u043E\u0442\u044B. \u0418\u043C\u0435\u0435\u0442 \u0440\u0430\u0437\u043C\u0435\u0440\u043D\u043E\u0441\u0442\u044C \u043C\u043E\u0449\u043D\u043E\u0441\u0442\u0438, \u0434\u0435\u043B\u0451\u043D\u043D\u043E\u0439 \u043D\u0430 \u0447\u0430\u0441\u0442\u043E\u0442\u0443, \u0442\u043E \u0435\u0441\u0442\u044C \u044D\u043D\u0435\u0440\u0433\u0438\u0438. \u041D\u0430\u043F\u0440\u0438\u043C\u0435\u0440, \u0432 \u041C\u0435\u0436\u0434\u0443\u043D\u0430\u0440\u043E\u0434\u043D\u043E\u0439 \u0441\u0438\u0441\u0442\u0435\u043C\u0435 \u0435\u0434\u0438\u043D\u0438\u0446 (\u0421\u0418): \u0412\u0442/\u0413\u0446 = \u0412\u0442/\u0441\u22121 = \u0412\u0442\u00B7\u0441. \u0427\u0430\u0441\u0442\u043E \u0442\u0435\u0440\u043C\u0438\u043D \u043F\u0440\u0438\u043C\u0435\u043D\u044F\u0435\u0442\u0441\u044F \u043F\u0440\u0438 \u043E\u043F\u0438\u0441\u0430\u043D\u0438\u0438 \u0441\u043F\u0435\u043A\u0442\u0440\u0430\u043B\u044C\u043D\u043E\u0439 \u043C\u043E\u0449\u043D\u043E\u0441\u0442\u0438 \u043F\u043E\u0442\u043E\u043A\u043E\u0432 \u044D\u043B\u0435\u043A\u0442\u0440\u043E\u043C\u0430\u0433\u043D\u0438\u0442\u043D\u043E\u0433\u043E \u0438\u0437\u043B\u0443\u0447\u0435\u043D\u0438\u044F \u0438\u043B\u0438 \u0434\u0440\u0443\u0433\u0438\u0445 \u043A\u043E\u043B\u0435\u0431\u0430\u043D\u0438\u0439 \u0432 \u0441\u043F\u043B\u043E\u0448\u043D\u043E\u0439 \u0441\u0440\u0435\u0434\u0435, \u043D\u0430\u043F\u0440\u0438\u043C\u0435\u0440, \u0430\u043A\u0443\u0441\u0442\u0438\u0447\u0435\u0441\u043A\u0438\u0445. \u0412 \u044D\u0442\u043E\u043C \u0441\u043B\u0443\u0447\u0430\u0435 \u043F\u043E\u0434\u0440\u0430\u0437\u0443\u043C\u0435\u0432\u0430\u0435\u0442\u0441\u044F \u043C\u043E\u0449\u043D\u043E\u0441\u0442\u044C \u043D\u0430 \u0435\u0434\u0438\u043D\u0438\u0446\u0443 \u0447\u0430\u0441\u0442\u043E\u0442\u044B \u043D\u0430 \u0435\u0434\u0438\u043D\u0438\u0446\u0443 \u043F\u043B\u043E\u0449\u0430\u0434\u0438, \u043D\u0430\u043F\u0440\u0438\u043C\u0435\u0440: \u0412\u0442\u00B7\u0413\u0446-1\u00B7\u043C-2 (\u0444\u043E\u0440\u043C\u0430\u043B\u044C\u043D\u043E \u043C\u043E\u0436\u043D\u043E \u0437\u0430\u043C\u0435\u043D\u0438\u0442\u044C \u043D\u0430 \u0414\u0436\u00B7\u043C-2, \u043D\u043E \u0442\u043E\u0433\u0434\u0430 \u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043A\u043E\u0435 \u0441\u043E\u0434\u0435\u0440\u0436\u0430\u043D\u0438\u0435 \u0432\u0435\u043B\u0438\u0447\u0438\u043D\u044B \u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0441\u044F \u043C\u0435\u043D\u0435\u0435 \u043D\u0430\u0433\u043B\u044F\u0434\u043D\u044B\u043C)."@ru . "La Densitat Espectral (Spectral Density), a matem\u00E0tiques i a f\u00EDsica, d'un senyal \u00E9s una funci\u00F3 matem\u00E0tica que ens informa de com est\u00E0 distribu\u00EFda la pot\u00E8ncia o l'energia (segons el cas) d'aquest senyal sobre les diferents freq\u00FC\u00E8ncies de les que est\u00E0 formada, \u00E9s a dir, el seu espectre. La definici\u00F3 matem\u00E0tica de la densitat espectral (DE) \u00E9s diferent depenent de si es tracta de senyals definits en energia (en aquest cas es parla de densitat espectral d'energia (DEE)), o de senyals definits en pot\u00E8ncia (en aquest cas parlem de densitat espectral de pot\u00E8ncia (DEP))."@ca . . . "Spektra povuma distribuo estas karakterizo de signalo, kiu donas distribuon de povumo de la signalo en \u011Dia frekvenca spektro. Spektra povuma distribuo por \u0109iu signalo, se \u011Di ekzistas, estas funkcio kun frekvenco kiel la argumento. \u011Cia valoro havas mezurunuon W/Hz (vato/herco) en Si. Povumo, havata de parto de signalo inter frekvencoj f1 kaj f2 estas donata per formulo f1 \u222B A(f) df f2kie A(f) estas la spektra povuma distribuo (se la integralo ekzistas). La plena povumo de la signalo estas donata per formulo \u221E \u222B A(f) df-\u221E (se la integralo ekzistas). \u03C91 \u222B \u03A6(\u03C9) d\u03C9 \u03C92 Kaj A(f)=2\u03C0 \u03A6(2\u03C0f)."@eo . "Die spektrale Leistungsdichte einer Strahlung oder eines Signals ist definiert als die Leistung, die auf eine bestimmte Bandbreite von Frequenzen oder Wellenl\u00E4ngen entf\u00E4llt, dividiert durch diese Bandbreite, wobei die Bandbreite immer schmaler, also infinitesimal klein, zu w\u00E4hlen ist. Die spektrale Leistungsdichte ist damit eine mathematische Funktion der Frequenz bzw. der Wellenl\u00E4nge. In der Frequenzdarstellung hat sie die Dimension Leistung \u00B7 Zeit (z. B. in Einheiten Watt/Hertz oder dBm/Hz). In der Wellenl\u00E4ngendarstellung hat sie die Dimension Leistung / L\u00E4nge. Das Integral der spektralen Leistungsdichte \u00FCber alle Frequenzen bzw. Wellenl\u00E4ngen ergibt die Gesamtleistung der Strahlung bzw. des Signals."@de . . . "6"^^ . "La Densitat Espectral (Spectral Density), a matem\u00E0tiques i a f\u00EDsica, d'un senyal \u00E9s una funci\u00F3 matem\u00E0tica que ens informa de com est\u00E0 distribu\u00EFda la pot\u00E8ncia o l'energia (segons el cas) d'aquest senyal sobre les diferents freq\u00FC\u00E8ncies de les que est\u00E0 formada, \u00E9s a dir, el seu espectre. La definici\u00F3 matem\u00E0tica de la densitat espectral (DE) \u00E9s diferent depenent de si es tracta de senyals definits en energia (en aquest cas es parla de densitat espectral d'energia (DEE)), o de senyals definits en pot\u00E8ncia (en aquest cas parlem de densitat espectral de pot\u00E8ncia (DEP)). Encara que la densitat espectral no \u00E9s exactament el mateix que l'espectre d'un senyal, de vegades tots dos termes s'usen indistintament, la qual cosa, en rigor, \u00E9s incorrecte."@ca . . . . . . . . "Densidade espectral"@pt . "Die spektrale Leistungsdichte einer Strahlung oder eines Signals ist definiert als die Leistung, die auf eine bestimmte Bandbreite von Frequenzen oder Wellenl\u00E4ngen entf\u00E4llt, dividiert durch diese Bandbreite, wobei die Bandbreite immer schmaler, also infinitesimal klein, zu w\u00E4hlen ist. Die spektrale Leistungsdichte ist damit eine mathematische Funktion der Frequenz bzw. der Wellenl\u00E4nge. In der Frequenzdarstellung hat sie die Dimension Leistung \u00B7 Zeit (z. B. in Einheiten Watt/Hertz oder dBm/Hz). In der Wellenl\u00E4ngendarstellung hat sie die Dimension Leistung / L\u00E4nge. Das Integral der spektralen Leistungsdichte \u00FCber alle Frequenzen bzw. Wellenl\u00E4ngen ergibt die Gesamtleistung der Strahlung bzw. des Signals. Die spektrale Leistungsdichte wird oft einfach als Spektrum bezeichnet, in der Darstellung \u00FCber der Frequenzachse auch als Leistungsdichtespektrum (LDS) oder Autoleistungsspektrum (engl.: Power-Spectral-Density (PSD), auch Wirkleistungsspektrum). Handels\u00FCbliche Spektralanalysatoren f\u00FCr elektrische Signale zeigen nicht das mathematisch definierte Leistungsdichtespektrum exakt an, sondern das \u00FCber die vorgew\u00E4hlte Bandbreite (engl.: resolution bandwidth (RBW)) gemittelte Leistungsdichtespektrum."@de . . . . . . . . . . . . . . . "\u0421\u043F\u0435\u043A\u0442\u0440\u0430\u043B\u044C\u043D\u0430\u044F \u043F\u043B\u043E\u0442\u043D\u043E\u0441\u0442\u044C \u043C\u043E\u0449\u043D\u043E\u0441\u0442\u0438"@ru . . . . "On d\u00E9finit la densit\u00E9 spectrale de puissance (DSP en abr\u00E9g\u00E9, Power Spectral Density ou PSD en anglais) comme \u00E9tant le carr\u00E9 du module de la transform\u00E9e de Fourier, divis\u00E9 par le temps d'int\u00E9gration, (ou, plus rigoureusement, la limite quand T tend vers l'infini de l'esp\u00E9rance math\u00E9matique du carr\u00E9 du module de la transform\u00E9e de Fourier du signal - on parle alors de densit\u00E9 spectrale de puissance moyenne). Ainsi, si est un signal et sa transform\u00E9e de Fourier, la densit\u00E9 spectrale de puissance vaut Elle repr\u00E9sente la r\u00E9partition fr\u00E9quentielle de la puissance d'un signal suivant les fr\u00E9quences qui le composent (son unit\u00E9 est de la forme Ux2/Hz, o\u00F9 Ux repr\u00E9sente l'unit\u00E9 physique du signal x, soit par exemple V2/Hz). Elle sert \u00E0 caract\u00E9riser les signaux al\u00E9atoires gaussiens stationnaires et ergodiques et se r\u00E9v\u00E8le indispensable \u00E0 la quantification des bruits \u00E9lectroniques. Pour de plus amples d\u00E9tails sur la densit\u00E9 spectrale de puissance et la densit\u00E9 spectrale d'\u00E9nergie (o\u00F9 l'on ne divise pas par le temps d'int\u00E9gration et qui n'existe que pour les signaux de carr\u00E9 sommable), voir l'article densit\u00E9 spectrale."@fr . . "Effektspektrum"@sv . . . "The power spectrum of a time series describes the distribution of power into frequency components composing that signal. According to Fourier analysis, any physical signal can be decomposed into a number of discrete frequencies, or a spectrum of frequencies over a continuous range. The statistical average of a certain signal or sort of signal (including noise) as analyzed in terms of its frequency content, is called its spectrum."@en . . . . . . "Widmowa g\u0119sto\u015B\u0107 mocy, g\u0119sto\u015B\u0107 widmowa, g\u0119sto\u015B\u0107 widmowa mocy, g\u0119sto\u015B\u0107 widmowa energii \u2013 funkcja cz\u0119stotliwo\u015Bci, okre\u015Blona na zbiorze dodatnich liczb rzeczywistych, zwi\u0105zana ze stacjonarnym procesem stochastycznym lub deterministyczna funkcja czasu, kt\u00F3rej wymiary to moc na Hz, lub energia na Hz. Cz\u0119sto nazywana po prostu widmem sygna\u0142u."@pl . "\u0421\u043F\u0435\u043A\u0442\u0440\u0430\u043B\u044C\u043D\u0430 \u0433\u0443\u0441\u0442\u0438\u043D\u0430"@uk . . . . . "In elettronica e teoria dei segnali un segnale pu\u00F2 essere rappresentato come un vettore nello spazio complesso a infinite dimensioni, in particolare uno spazio di Hilbert. Una volta introdotto l'apparato matematico vettoriale dei segnali nello spazio di Hilbert possiamo definire l'energia di un segnale come: dove \u00E8 il segnale. Da notare che le energie non sono additive nello spazio di Hilbert dei segnali, infatti: dove il termine \u00E8 chiamato termine di cross energy. Se il segnale \u00E8 una tensione allora l'unit\u00E0 di misura dell'energia \u00E8 , se invece \u00E8 una corrente elettrica allora ."@it . . . . . . . "\u30B9\u30DA\u30AF\u30C8\u30EB\u5BC6\u5EA6"@ja . . . . . . "Densitat espectral"@ca . . . . . . . . . . . . "Spektrale Leistungsdichte"@de . . . . . . . "\u0421\u043F\u0435\u043A\u0442\u0440\u0430\u0301\u043B\u044C\u043D\u0430 \u0433\u0443\u0441\u0442\u0438\u043D\u0430\u0301 \u2014 \u0444\u0443\u043D\u043A\u0446\u0456\u044F , \u044F\u043A\u0430 \u0432\u0438\u0437\u043D\u0430\u0447\u0430\u0454\u0442\u044C\u0441\u044F \u0434\u043B\u044F \u0441\u0442\u0430\u0446\u0456\u043E\u043D\u0430\u0440\u043D\u043E\u0433\u043E \u0432 \u0448\u0438\u0440\u043E\u043A\u043E\u043C\u0443 \u0441\u0435\u043D\u0441\u0456 \u0432\u0438\u043F\u0430\u0434\u043A\u043E\u0432\u043E\u0433\u043E \u043F\u0440\u043E\u0446\u0435\u0441\u0443, , \u2014 , \u044F\u043A \u043F\u043E\u0445\u0456\u0434\u043D\u0430 \u0437\u0430 \u0443\u043C\u043E\u0432\u0438, \u0449\u043E \u0441\u043F\u0435\u043A\u0442\u0440\u0430\u043B\u044C\u043D\u0430 \u0444\u0443\u043D\u043A\u0446\u0456\u044F \u0430\u0431\u0441\u043E\u043B\u044E\u0442\u043D\u043E \u043D\u0435\u043F\u0435\u0440\u0435\u0440\u0432\u043D\u0430. \u041D\u0435\u0445\u0430\u0439 \u043A\u043E\u0440\u0435\u043B\u044F\u0446\u0456\u0439\u043D\u0430 \u0444\u0443\u043D\u043A\u0446\u0456\u044F \u043F\u0440\u043E\u0446\u0435\u0441\u0443 \u0430\u0431\u0441\u043E\u043B\u044E\u0442\u043D\u043E \u0456\u043D\u0442\u0435\u0433\u0440\u043E\u0432\u0430\u043D\u0430 \u0432 \u0456\u043D\u0442\u0435\u0440\u0432\u0430\u043B\u0456 . \u0422\u043E\u0434\u0456 \u0441\u043F\u0435\u043A\u0442\u0440\u0430\u043B\u044C\u043D\u0430 \u0433\u0443\u0441\u0442\u0438\u043D\u0430 \u0456 \u0454 \u043D\u0435\u0432\u0456\u0434'\u0454\u043C\u043D\u043E\u044E \u0444\u0443\u043D\u043A\u0446\u0456\u0454\u044E. \u0421\u043F\u0435\u043A\u0442\u0440\u0430\u043B\u044C\u043D\u0430 \u0449\u0456\u043B\u044C\u043D\u0456\u0441\u0442\u044C (\u0441\u043F\u0435\u043A\u0442\u0440\u0430\u043B\u044C\u043D\u0430 \u0456\u043D\u0442\u0435\u043D\u0441\u0438\u0432\u043D\u0456\u0441\u0442\u044C) \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043D\u0456\u0439 \u0444\u0456\u0437\u0438\u0446\u0456 \u2014 \u043A\u043E\u0435\u0444\u0456\u0446\u0456\u0454\u043D\u0442\u0438 \u0440\u043E\u0437\u043A\u043B\u0430\u0434\u0430\u043D\u043D\u044F \u0447\u0430\u0441\u043E\u0432\u0438\u0445 \u043A\u043E\u0440\u0435\u043B\u044F\u0446\u0456\u0439\u043D\u0438\u0445 \u0444\u0443\u043D\u043A\u0446\u0456\u0439 \u0432 \u0456\u043D\u0442\u0435\u0433\u0440\u0430\u043B \u0424\u0443\u0440'\u0454."@uk . . . . . . . "Widmowa g\u0119sto\u015B\u0107 mocy"@pl . . . . . . "\u30B9\u30DA\u30AF\u30C8\u30EB\u5BC6\u5EA6\uFF08\u30B9\u30DA\u30AF\u30C8\u30EB\u307F\u3064\u3069\u3001\u82F1: Spectral density\uFF09\u306F\u3001\u5B9A\u5E38\u904E\u7A0B\u306B\u95A2\u3059\u308B\u5468\u6CE2\u6570\u5024\u306E\u6B63\u5B9F\u6570\u306E\u95A2\u6570\u307E\u305F\u306F\u6642\u9593\u306B\u95A2\u3059\u308B\u6C7A\u5B9A\u7684\u306A\u95A2\u6570\u3067\u3042\u308B\u3002\u30D1\u30EF\u30FC\u30B9\u30DA\u30AF\u30C8\u30EB\u5BC6\u5EA6\uFF08\u96FB\u529B\u30B9\u30DA\u30AF\u30C8\u30EB\u5BC6\u5EA6\u3001\u82F1: Power spectral density\uFF09\u3001\u30A8\u30CD\u30EB\u30AE\u30FC\u30B9\u30DA\u30AF\u30C8\u30EB\u5BC6\u5EA6\uFF08\u82F1: Energy spectral density\u3001ESD\uFF09\u3068\u3082\u3002\u5358\u306B\u4FE1\u53F7\u306E\u30B9\u30DA\u30AF\u30C8\u30EB\u3068\u8A00\u3063\u305F\u3068\u304D\u3001\u30B9\u30DA\u30AF\u30C8\u30EB\u5BC6\u5EA6\u3092\u6307\u3059\u3053\u3068\u3082\u3042\u308B\u3002\u76F4\u89B3\u7684\u306B\u306F\u3001\u30B9\u30DA\u30AF\u30C8\u30EB\u5BC6\u5EA6\u306F\u78BA\u7387\u904E\u7A0B\u306E\u5468\u6CE2\u6570\u8981\u7D20\u3092\u6349\u3048\u308B\u3082\u306E\u3067\u3001\u5468\u671F\u6027\u3092\u8B58\u5225\u3059\u308B\u306E\u3092\u52A9\u3051\u308B\u3002"@ja . . . . . . . . . "#0073CF"@en . "Densidade espectral, ou power spectral density (PSD), ou energy spectral density (ESD); \u00E9 uma fun\u00E7\u00E3o real positiva de uma frequ\u00EAncia vari\u00E1vel associada com um processo estoc\u00E1stico, ou uma fun\u00E7\u00E3o determin\u00EDstica do tempo, que possua dimens\u00E3o de energia ou for\u00E7a por Hertz. Geralmente \u00E9 chamada apenas por espectro do sinal. Intuitivamente, a densidade espectral auxilia na captura da frequ\u00EAncia do processo estoc\u00E1stico e identifica periodicidades. Na f\u00EDsica, o sinal geralmente surge como uma fun\u00E7\u00E3o de onda - como por exemplo ocorre na radia\u00E7\u00E3o eletromagn\u00E9tica - ou em ondas sonoras. A densidade de espectro da onda, quando multiplicado pelo fator apropriado d\u00E1 a for\u00E7a carregada pela onda, por unidade de frequ\u00EAncia, tratada como a densidade espectral de for\u00E7a (power spectral density) do sinal. Ela \u00E9 geralmente expressada na unidade Watts por Hertz."@pt . . "Spettro di potenza"@it . . . . . . . . . . "On d\u00E9finit la densit\u00E9 spectrale de puissance (DSP en abr\u00E9g\u00E9, Power Spectral Density ou PSD en anglais) comme \u00E9tant le carr\u00E9 du module de la transform\u00E9e de Fourier, divis\u00E9 par le temps d'int\u00E9gration, (ou, plus rigoureusement, la limite quand T tend vers l'infini de l'esp\u00E9rance math\u00E9matique du carr\u00E9 du module de la transform\u00E9e de Fourier du signal - on parle alors de densit\u00E9 spectrale de puissance moyenne). Ainsi, si est un signal et sa transform\u00E9e de Fourier, la densit\u00E9 spectrale de puissance vaut"@fr . "Spektra povuma distribuo estas karakterizo de signalo, kiu donas distribuon de povumo de la signalo en \u011Dia frekvenca spektro. Spektra povuma distribuo por \u0109iu signalo, se \u011Di ekzistas, estas funkcio kun frekvenco kiel la argumento. \u011Cia valoro havas mezurunuon W/Hz (vato/herco) en Si. Povumo, havata de parto de signalo inter frekvencoj f1 kaj f2 estas donata per formulo f1 \u222B A(f) df f2kie A(f) estas la spektra povuma distribuo (se la integralo ekzistas). La plena povumo de la signalo estas donata per formulo \u221E \u222B A(f) df-\u221E (se la integralo ekzistas). Blanka bruo havas konstantan spektran povuman distribuon A(f)=A kaj ne dependas de f. \u011Cia plena povumo estas malfinia, kaj respektive la lasta integralo ne ekzistas. Spektra povuma distribuo povas esti priskribita anka\u016D kiel funkcio \u03A6(\u03C9) de angula frekvenco \u03C9=2\u03C0f. Tiam same povumo, havata de parto de signalo inter frekvencoj \u03C91 kaj \u03C92 estas donata per formulo \u03C91 \u222B \u03A6(\u03C9) d\u03C9 \u03C92 Kaj A(f)=2\u03C0 \u03A6(2\u03C0f)."@eo . . . . . . . "En matem\u00E1ticas y en f\u00EDsica, la Densidad Espectral (Spectral Density) de una se\u00F1al es una funci\u00F3n matem\u00E1tica que nos informa de c\u00F3mo est\u00E1 distribuida la potencia o la energ\u00EDa (seg\u00FAn el caso) de dicha se\u00F1al sobre las distintas frecuencias de las que est\u00E1 formada.La definici\u00F3n matem\u00E1tica de la Densidad Espectral (DE) es diferente dependiendo de si se trata de se\u00F1ales definidas en energ\u00EDa, en cuyo caso hablamos de Densidad Espectral de Energ\u00EDa (DEE), o en potencia, en cuyo caso hablamos de Densidad Espectral de Potencia (DEP).Aunque la densidad espectral no es exactamente lo mismo que el espectro de una se\u00F1al, a veces ambos t\u00E9rminos se usan indistintamente, lo cual, en rigor, es incorrecto."@es . . . . . "Spectral density"@en . . . . . . . . . . . . . . . . . ":"@en . . . . "Densidade espectral, ou power spectral density (PSD), ou energy spectral density (ESD); \u00E9 uma fun\u00E7\u00E3o real positiva de uma frequ\u00EAncia vari\u00E1vel associada com um processo estoc\u00E1stico, ou uma fun\u00E7\u00E3o determin\u00EDstica do tempo, que possua dimens\u00E3o de energia ou for\u00E7a por Hertz. Geralmente \u00E9 chamada apenas por espectro do sinal. Intuitivamente, a densidade espectral auxilia na captura da frequ\u00EAncia do processo estoc\u00E1stico e identifica periodicidades."@pt . . .