. . . . . . . "Time\u2013frequency analysis"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . "\u6642\u9593\u5468\u6CE2\u6570\u89E3\u6790"@ja . 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"En el procesamiento de se\u00F1ales el an\u00E1lisis tiempo-frecuencia es un conjunto de t\u00E9cnicas para la caracterizaci\u00F3n y manipulaci\u00F3n de se\u00F1ales cuyas estad\u00EDsticas var\u00EDan en el tiempo, como las se\u00F1ales transitorias. Es una generalizaci\u00F3n y perfeccionamiento del an\u00E1lisis de Fourier, en el que las frecuencias son constantes en el tiempo. Debido a que muchas se\u00F1ales de inter\u00E9s -como el habla, m\u00FAsica, imagenes y se\u00F1ales de m\u00E9dicas- tienen frecuencias cambiantes, el an\u00E1lisis tiempo-frecuencia tiene un alcance amplio. \n* Datos: Q7806653 \n* Multimedia: Time-frequency analysis / Q7806653"@es . "\u6642\u983B\u5206\u4F48\u662F\u4E00\u9805\u8B93\u6211\u5011\u80FD\u5920\u540C\u6642\u89C0\u5BDF\u4E00\u500B\u8A0A\u865F\u7684\u6642\u57DF\u548C\u983B\u57DF\u8CC7\u8A0A\u7684\u5DE5\u5177\uFF0C\u800C\u6642\u983B\u5206\u6790\u5C31\u662F\u5728\u5206\u6790\u6642\u983B\u5206\u4F48\u3002\u50B3\u7D71\u4E0A\uFF0C\u6211\u5011\u5E38\u7528\u5085\u7ACB\u8449\u8B8A\u63DB\u4F86\u89C0\u5BDF\u4E00\u500B\u8A0A\u865F\u7684\u983B\u8B5C\u3002\u7136\u800C\uFF0C\u9019\u6A23\u7684\u65B9\u6CD5\u4E0D\u9069\u5408\u7528\u4F86\u5206\u6790\u4E00\u500B\u983B\u7387\u6703\u96A8\u8457\u6642\u9593\u800C\u6539\u8B8A\u7684\u8A0A\u865F\uFF0C\u7531\u65BC\u5085\u7ACB\u8449\u8B8A\u63DB\u53EA\u5206\u6790\u4E86\u4E00\u7DAD\u7684\u8A0A\u865F\u5206\u5E03\uFF0C\u800C\u6642\u983B\u5206\u6790\u537B\u80FD\u5206\u6790\u4E8C\u7DAD(\u6642\u57DF\u8DDF\u983B\u57DF)\u7684\u8A0A\u865F\u5206\u5E03\uFF0C\u56E0\u6B64\u5728\u8A0A\u865F\u8655\u7406\u4E2D\u66F4\u5E38\u88AB\u904B\u7528\u3002 \u6642\u983B\u5206\u6790\u4E5F\u53EF\u4EE5\u8AAA\u662F\u5085\u7ACB\u8449\u5206\u6790\u7684\u4E00\u822C\u5316\uFF0C\u901A\u5E38\u7528\u65BC\u983B\u7387\u7279\u6027\u6703\u96A8\u6642\u9593\u800C\u8B8A\u5316\u7684\u8A0A\u865F\u4E0A\uFF0C\u800C\u5728\u65E5\u5E38\u751F\u6D3B\u4E2D\u7B26\u5408\u7B26\u5408\u6B64\u7279\u6027\u7684\u8A0A\u865F\u975E\u5E38\u591A\uFF0C\u50CF\u662F\u6F14\u8B1B\u3001\u97F3\u6A02\u3001\u5F71\u50CF\u3001\u91AB\u5B78\u8A0A\u865F...\u7B49\uFF0C\u56E0\u6B64\u80FD\u61C9\u7528\u7684\u9818\u57DF\u76F8\u7576\u5EE3\u6CDB\u3002 \u53E6\u5916\uFF0C\u66F4\u5BE6\u969B\u61C9\u7528\u6642\u983B\u5206\u6790\u7684\u52D5\u6A5F\u70BA\u50B3\u7D71\u5085\u7ACB\u8449\u5206\u6790\u5047\u8A2D\u8A0A\u865F\u5728\u6642\u57DF\u662F\u7121\u9650\u9577\u6216\u662F\u9031\u671F\u6027\u51FA\u73FE\u7684\uFF0C\u7136\u800C\u5728\u73FE\u5BE6\u4E2D\u8A31\u591A\u8A0A\u865F\u90FD\u53EA\u6709\u77ED\u66AB\u7684\u5B58\u5728\uFF0C\u800C\u4E14\u5728\u8A0A\u865F\u6301\u7E8C\u671F\u9593\u53EF\u80FD\u6709\u76F8\u7576\u5927\u7684\u8B8A\u5316\u3002\u8209\u4F8B\u4F86\u8AAA\uFF0C\u50B3\u7D71\u7684\u97F3\u6A02\u6A02\u5668\u4E0D\u6703\u6301\u7E8C\u7522\u751F\u7121\u9650\u9577\u7684\u6B63\u5F26\u6CE2\uFF0C\u53CD\u800C\u53EF\u80FD\u7A81\u7136\u6709\u4E00\u5DE8\u8072\uFF0C\u7136\u5F8C\u6F38\u6F38\u6E1B\u5F31\u3002\u56E0\u6B64\u6642\u983B\u5206\u6790\u7684\u7814\u7A76\u52E2\u4E0D\u53EF\u64CB\u3002 \u8B93\u6211\u5011\u770B\u770B\u4EE5\u4E0B\u9019\u500B\u983B\u7387\u6703\u96A8\u6642\u9593\u8B8A\u5316\u7684\u8A0A\u865F\u4F8B\u5B50\uFF1A \u4E00\u65E6\u9019\u6A23\u7684\u6578\u5B78\u5F0F\u6210\u7ACB\uFF0C\u4FBF\u53EF\u5229\u7528\u6642\u983B\u5206\u6790\u7684\u5404\u7A2E\u6280\u8853\uFF0C\u8403\u53D6\u8A0A\u865F\u4E2D\u7684\u5404\u7A2E\u6709\u7528\u8CC7\u8A0A\uFF0C\u4E26\u5206\u96E2\u566A\u97F3\u6216\u5E72\u64FE\u3002"@zh . . . . . . . "In signal processing, time\u2013frequency analysis comprises those techniques that study a signal in both the time and frequency domains simultaneously, using various time\u2013frequency representations. Rather than viewing a 1-dimensional signal (a function, real or complex-valued, whose domain is the real line) and some transform (another function whose domain is the real line, obtained from the original via some transform), time\u2013frequency analysis studies a two-dimensional signal \u2013 a function whose domain is the two-dimensional real plane, obtained from the signal via a time\u2013frequency transform. The mathematical motivation for this study is that functions and their transform representation are tightly connected, and they can be understood better by studying them jointly, as a two-dimensional object, rather than separately. A simple example is that the 4-fold periodicity of the Fourier transform \u2013 and the fact that two-fold Fourier transform reverses direction \u2013 can be interpreted by considering the Fourier transform as a 90\u00B0 rotation in the associated time\u2013frequency plane: 4 such rotations yield the identity, and 2 such rotations simply reverse direction (reflection through the origin). The practical motivation for time\u2013frequency analysis is that classical Fourier analysis assumes that signals are infinite in time or periodic, while many signals in practice are of short duration, and change substantially over their duration. For example, traditional musical instruments do not produce infinite duration sinusoids, but instead begin with an attack, then gradually decay. This is poorly represented by traditional methods, which motivates time\u2013frequency analysis. One of the most basic forms of time\u2013frequency analysis is the short-time Fourier transform (STFT), but more sophisticated techniques have been developed, notably wavelets and least-squares spectral analysis methods for unevenly spaced data."@en . . . . . . . . . . . . . "En el procesamiento de se\u00F1ales el an\u00E1lisis tiempo-frecuencia es un conjunto de t\u00E9cnicas para la caracterizaci\u00F3n y manipulaci\u00F3n de se\u00F1ales cuyas estad\u00EDsticas var\u00EDan en el tiempo, como las se\u00F1ales transitorias. Es una generalizaci\u00F3n y perfeccionamiento del an\u00E1lisis de Fourier, en el que las frecuencias son constantes en el tiempo. Debido a que muchas se\u00F1ales de inter\u00E9s -como el habla, m\u00FAsica, imagenes y se\u00F1ales de m\u00E9dicas- tienen frecuencias cambiantes, el an\u00E1lisis tiempo-frecuencia tiene un alcance amplio. Considerando que la t\u00E9cnica de la transformada de Fourier se puede ampliar para obtener el espectro de frecuencias de cualquier se\u00F1al de crecimiento lento localmente integrable, esto requiere una descripci\u00F3n completa de la conducta de la se\u00F1al a lo largo del tiempo. De hecho, se puede pensar en puntos en el dominio de la frecuencia (espectral) como manchas que acumulan informaci\u00F3n desde todo el dominio del tiempo. Sin embargo, a pesar de que matem\u00E1ticamente esta t\u00E9cnica es elegante, no es apropiada para el an\u00E1lisis de una se\u00F1al con comportamiento futuro indeterminado. Por ejemplo, en el an\u00E1lisis tiempo-frecuencia, se deber\u00EDa presuponer cierto grado de comportamiento futuro indeterminado en cualquier sistema de telecomunicaciones para lograr la entrop\u00EDa no nula (si ya se sabe lo que el otro va a decir, no se puede aprender nada). Para aprovechar el poder de una representaci\u00F3n en frecuencia sin la necesidad de una caracterizaci\u00F3n completa en el dominio temporal, se obtiene primero la distribuci\u00F3n tiempo-frecuencia de la se\u00F1al, lo que representa la se\u00F1al tanto en el dominio temporal como el de la frecuencia simult\u00E1neamente. En esta representaci\u00F3n el dominio de la frecuencia s\u00F3lo refleja el comportamiento de una versi\u00F3n localizada de la se\u00F1al en el tiempo. Esto permite analizar de manera sensible se\u00F1ales cuyos componentes frecuenciales var\u00EDan en el tiempo. \n* Datos: Q7806653 \n* Multimedia: Time-frequency analysis / Q7806653"@es . . . "In signal processing, time\u2013frequency analysis comprises those techniques that study a signal in both the time and frequency domains simultaneously, using various time\u2013frequency representations. Rather than viewing a 1-dimensional signal (a function, real or complex-valued, whose domain is the real line) and some transform (another function whose domain is the real line, obtained from the original via some transform), time\u2013frequency analysis studies a two-dimensional signal \u2013 a function whose domain is the two-dimensional real plane, obtained from the signal via a time\u2013frequency transform."@en . "17129"^^ . . . . . . . . . . "\u6642\u983B\u5206\u6790"@zh . . . . . "An\u00E1lisis tiempo-frecuencia"@es . . . "\u4FE1\u53F7\u51E6\u7406\u306E\u5206\u91CE\u306B\u304A\u3044\u3066\u3001\u6642\u9593\u5468\u6CE2\u6570\u89E3\u6790\uFF08\u3058\u304B\u3093\u3057\u3085\u3046\u306F\u3059\u3046\u304B\u3044\u305B\u304D\u3001\u82F1: time\u2013frequency analysis\uFF09\u3068\u306F\u4FE1\u53F7\u3092\u6642\u9593\u30C9\u30E1\u30A4\u30F3\u3068\u5468\u6CE2\u6570\u30C9\u30E1\u30A4\u30F3\u306E\u4E21\u65B9\u3067\u300C\u540C\u6642\u306B\u300D\u3001\u69D8\u3005\u306A\u3092\u7528\u3044\u3066\u89E3\u6790\u3059\u308B\u624B\u6CD5\u3092\u3044\u3046\u30021\u6B21\u5143\u4FE1\u53F7\uFF081\u5909\u6570\u5B9F\u95A2\u6570\u304A\u3088\u3073\u8907\u7D20\u95A2\u6570\uFF09\u3092\u305D\u306E\u307E\u307E\u89E3\u6790\u3059\u308B\u5834\u5408\u3001\u305D\u306E\u30C9\u30E1\u30A4\u30F3\u306F\u5B9F\u7DDA\u3068\u306A\u308B\u304C\u3001\u6642\u9593\u5468\u6CE2\u6570\u89E3\u6790\u306F\u9069\u5F53\u306A\u5909\u63DB\u3092\u5143\u306E\u4FE1\u53F7\u306B\u304B\u3051\u305F\u3082\u306E\uFF08\u3084\u306F\u308A1\u5909\u6570\u5B9F\u5024\u95A2\u6570\u304A\u3088\u3073\u8907\u7D20\u5024\u95A2\u6570\u3001\u30C9\u30E1\u30A4\u30F3\u306F\u5B9F\u7DDA\uFF09\u3068\u5143\u306E\u4FE1\u53F7\u3068\u3092\u7D44\u307F\u5408\u308F\u305B\u308B\u3053\u3068\u306B\u3088\u308A\u3001\u5E73\u9762\u3092\u30C9\u30E1\u30A4\u30F3\u3068\u3059\u308B2\u6B21\u5143\u4FE1\u53F7\u3092\u751F\u6210\u3057\u3001\u89E3\u6790\u306E\u5BFE\u8C61\u3068\u3059\u308B\u3002 \u3053\u306E\u89E3\u6790\u624B\u6CD5\u306E\u6570\u5B66\u7684\u306A\u52D5\u6A5F\u4ED8\u3051\u3068\u3057\u3066\u3001\u3042\u308B\u95A2\u6570\u3068\u305D\u306E\u5909\u63DB\u8868\u73FE\u3068\u306F\u7DCA\u5BC6\u306B\u95A2\u4FC2\u3057\u3042\u3063\u3066\u304A\u308A\u3001\u3053\u308C\u3089\u3092\u305D\u308C\u305E\u308C\u5358\u72EC\u306B\u89E3\u6790\u3059\u308B\u3088\u308A\u3082\u7D44\u307F\u5408\u308F\u305B\u30662\u6B21\u5143\u7684\u306A\u5BFE\u8C61\u3068\u3057\u3066\u89E3\u6790\u3059\u308B\u307B\u3046\u304C\u3088\u308A\u826F\u304F\u5BFE\u8C61\u3092\u7406\u89E3\u3067\u304D\u308B\u3053\u3068\u304C\u6319\u3052\u3089\u308C\u308B\u3002\u5358\u7D14\u306A\u4F8B\u3068\u3057\u3066\u3001\u30D5\u30FC\u30EA\u30A8\u5909\u63DB\u306E4\u56DE\u5468\u671F\u6027\u3001\u304A\u3088\u3073\u30D5\u30FC\u30EA\u30A8\u5909\u63DB\u30922\u56DE\u9069\u7528\u3059\u308B\u3068\u65B9\u5411\u304C\u9006\u8EE2\u3059\u308B\u3053\u3068\u306F\u3001\u30D5\u30FC\u30EA\u30A8\u5909\u63DB\u3092\u6642\u9593\u30FB\u5468\u6CE2\u6570\u5E73\u9762\u4E0A\u306E90\u00B0\u56DE\u8EE2\u3067\u3042\u308B\u3068\u8003\u3048\u308B\u3053\u3068\u306B\u3088\u308A\u30014\u56DE\u30D5\u30FC\u30EA\u30A8\u5909\u63DB\u3092\u9069\u7528\u3059\u308B\u3068\u5143\u306B\u623B\u308B\u3053\u3068\u3001\u304A\u3088\u30732\u56DE\u9069\u7528\u3059\u308B\u3068180\u00B0\u56DE\u8EE2\u3001\u3059\u306A\u308F\u3061\u5143\u306E\u5411\u304D\u3068\u9006\u306B\u306A\u308B\u3053\u3068\u304C\u5BB9\u6613\u306B\u7406\u89E3\u3067\u304D\u308B\u3002 \u6642\u9593\u5468\u6CE2\u6570\u89E3\u6790\u306E\u6700\u3082\u57FA\u672C\u7684\u306A\u5F62\u3068\u3057\u3066\u77ED\u6642\u9593\u30D5\u30FC\u30EA\u30A8\u5909\u63DB(STFT)\u304C\u6319\u3052\u3089\u308C\u308B\u304C\u3001\u4ED6\u306B\u3082\u30A6\u30A7\u30FC\u30D6\u30EC\u30C3\u30C8\u5909\u63DB\u3092\u59CB\u3081\u3068\u3057\u305F\u3088\u308A\u6D17\u7DF4\u3055\u308C\u305F\u624B\u6CD5\u304C\u958B\u767A\u3055\u308C\u3066\u3044\u308B\u3002"@ja . . . . "\u4FE1\u53F7\u51E6\u7406\u306E\u5206\u91CE\u306B\u304A\u3044\u3066\u3001\u6642\u9593\u5468\u6CE2\u6570\u89E3\u6790\uFF08\u3058\u304B\u3093\u3057\u3085\u3046\u306F\u3059\u3046\u304B\u3044\u305B\u304D\u3001\u82F1: time\u2013frequency analysis\uFF09\u3068\u306F\u4FE1\u53F7\u3092\u6642\u9593\u30C9\u30E1\u30A4\u30F3\u3068\u5468\u6CE2\u6570\u30C9\u30E1\u30A4\u30F3\u306E\u4E21\u65B9\u3067\u300C\u540C\u6642\u306B\u300D\u3001\u69D8\u3005\u306A\u3092\u7528\u3044\u3066\u89E3\u6790\u3059\u308B\u624B\u6CD5\u3092\u3044\u3046\u30021\u6B21\u5143\u4FE1\u53F7\uFF081\u5909\u6570\u5B9F\u95A2\u6570\u304A\u3088\u3073\u8907\u7D20\u95A2\u6570\uFF09\u3092\u305D\u306E\u307E\u307E\u89E3\u6790\u3059\u308B\u5834\u5408\u3001\u305D\u306E\u30C9\u30E1\u30A4\u30F3\u306F\u5B9F\u7DDA\u3068\u306A\u308B\u304C\u3001\u6642\u9593\u5468\u6CE2\u6570\u89E3\u6790\u306F\u9069\u5F53\u306A\u5909\u63DB\u3092\u5143\u306E\u4FE1\u53F7\u306B\u304B\u3051\u305F\u3082\u306E\uFF08\u3084\u306F\u308A1\u5909\u6570\u5B9F\u5024\u95A2\u6570\u304A\u3088\u3073\u8907\u7D20\u5024\u95A2\u6570\u3001\u30C9\u30E1\u30A4\u30F3\u306F\u5B9F\u7DDA\uFF09\u3068\u5143\u306E\u4FE1\u53F7\u3068\u3092\u7D44\u307F\u5408\u308F\u305B\u308B\u3053\u3068\u306B\u3088\u308A\u3001\u5E73\u9762\u3092\u30C9\u30E1\u30A4\u30F3\u3068\u3059\u308B2\u6B21\u5143\u4FE1\u53F7\u3092\u751F\u6210\u3057\u3001\u89E3\u6790\u306E\u5BFE\u8C61\u3068\u3059\u308B\u3002 \u3053\u306E\u89E3\u6790\u624B\u6CD5\u306E\u6570\u5B66\u7684\u306A\u52D5\u6A5F\u4ED8\u3051\u3068\u3057\u3066\u3001\u3042\u308B\u95A2\u6570\u3068\u305D\u306E\u5909\u63DB\u8868\u73FE\u3068\u306F\u7DCA\u5BC6\u306B\u95A2\u4FC2\u3057\u3042\u3063\u3066\u304A\u308A\u3001\u3053\u308C\u3089\u3092\u305D\u308C\u305E\u308C\u5358\u72EC\u306B\u89E3\u6790\u3059\u308B\u3088\u308A\u3082\u7D44\u307F\u5408\u308F\u305B\u30662\u6B21\u5143\u7684\u306A\u5BFE\u8C61\u3068\u3057\u3066\u89E3\u6790\u3059\u308B\u307B\u3046\u304C\u3088\u308A\u826F\u304F\u5BFE\u8C61\u3092\u7406\u89E3\u3067\u304D\u308B\u3053\u3068\u304C\u6319\u3052\u3089\u308C\u308B\u3002\u5358\u7D14\u306A\u4F8B\u3068\u3057\u3066\u3001\u30D5\u30FC\u30EA\u30A8\u5909\u63DB\u306E4\u56DE\u5468\u671F\u6027\u3001\u304A\u3088\u3073\u30D5\u30FC\u30EA\u30A8\u5909\u63DB\u30922\u56DE\u9069\u7528\u3059\u308B\u3068\u65B9\u5411\u304C\u9006\u8EE2\u3059\u308B\u3053\u3068\u306F\u3001\u30D5\u30FC\u30EA\u30A8\u5909\u63DB\u3092\u6642\u9593\u30FB\u5468\u6CE2\u6570\u5E73\u9762\u4E0A\u306E90\u00B0\u56DE\u8EE2\u3067\u3042\u308B\u3068\u8003\u3048\u308B\u3053\u3068\u306B\u3088\u308A\u30014\u56DE\u30D5\u30FC\u30EA\u30A8\u5909\u63DB\u3092\u9069\u7528\u3059\u308B\u3068\u5143\u306B\u623B\u308B\u3053\u3068\u3001\u304A\u3088\u30732\u56DE\u9069\u7528\u3059\u308B\u3068180\u00B0\u56DE\u8EE2\u3001\u3059\u306A\u308F\u3061\u5143\u306E\u5411\u304D\u3068\u9006\u306B\u306A\u308B\u3053\u3068\u304C\u5BB9\u6613\u306B\u7406\u89E3\u3067\u304D\u308B\u3002 \u6642\u9593\u5468\u6CE2\u6570\u89E3\u6790\u3092\u884C\u3046\u5B9F\u7528\u7684\u306A\u52D5\u6A5F\u4ED8\u3051\u3068\u3057\u3066\u306F\u3001\u53E4\u5178\u7684\u306A\u30D5\u30FC\u30EA\u30A8\u89E3\u6790\u306F\u4FE1\u53F7\u304C\u7121\u9650\u306B\u7D9A\u304F\u3053\u3068\u3001\u3082\u3057\u304F\u306F\u5468\u671F\u7684\u3067\u3042\u308B\u3053\u3068\u3092\u524D\u63D0\u3068\u3059\u308B\u304C\u3001\u5B9F\u7528\u4E0A\u5F97\u3089\u308C\u308B\u4FE1\u53F7\u306E\u591A\u304F\u306F\u77ED\u3044\u671F\u9593\u3057\u304B\u6301\u7D9A\u305B\u305A\u3001\u304B\u3064\u6301\u7D9A\u671F\u9593\u4E2D\u306B\u5927\u304D\u304F\u5909\u5316\u3059\u308B\u3053\u3068\u304C\u6319\u3052\u3089\u308C\u308B\u3002\u305F\u3068\u3048\u3070\u3001\u53E4\u5178\u7684\u306A\u697D\u5668\u306F\u7121\u9650\u306B\u7D9A\u304F\u6B63\u5F26\u6CE2\u3092\u51FA\u3059\u3053\u3068\u306F\u306A\u304F\u3001\u5F3E\u3044\u305F\u77AC\u9593\u306B\u59CB\u307E\u308A\u5F90\u3005\u306B\u6E1B\u8870\u3059\u308B\u3088\u3046\u306A\u4FE1\u53F7\u3092\u51FA\u3059\u3002\u3053\u306E\u3088\u3046\u306A\u4FE1\u53F7\u306F\u53E4\u5178\u7684\u306A\u624B\u6CD5\u3067\u306F\u4E0A\u624B\u304F\u8868\u73FE\u3059\u308B\u3053\u3068\u304C\u3067\u304D\u305A\u3001\u6642\u9593\u5468\u6CE2\u6570\u89E3\u6790\u3092\u884C\u3046\u52D5\u6A5F\u3068\u306A\u308B\u3002 \u6642\u9593\u5468\u6CE2\u6570\u89E3\u6790\u306E\u6700\u3082\u57FA\u672C\u7684\u306A\u5F62\u3068\u3057\u3066\u77ED\u6642\u9593\u30D5\u30FC\u30EA\u30A8\u5909\u63DB(STFT)\u304C\u6319\u3052\u3089\u308C\u308B\u304C\u3001\u4ED6\u306B\u3082\u30A6\u30A7\u30FC\u30D6\u30EC\u30C3\u30C8\u5909\u63DB\u3092\u59CB\u3081\u3068\u3057\u305F\u3088\u308A\u6D17\u7DF4\u3055\u308C\u305F\u624B\u6CD5\u304C\u958B\u767A\u3055\u308C\u3066\u3044\u308B\u3002"@ja . . "1109082970"^^ . . "857897"^^ . . . . . .