. . . "Die Fouriertransformation f\u00FCr zeitdiskrete Signale, auch als englisch discrete-time Fourier transform, abgek\u00FCrzt DTFT bezeichnet, ist eine lineare Transformation aus dem Bereich der Fourier-Analysis. Sie bildet ein unendliches, zeitdiskretes Signal auf ein kontinuierliches, periodisches Frequenzspektrum ab, welches auch als Bildbereich bezeichnet wird. Die DTFT ist mit der Diskreten Fourier-Transformation (DFT) verwandt, welche mit diskreten Zeitsignalen und diskreten Spektren arbeitet. Die DTFT unterscheidet sich von der DFT darin, dass sie ein kontinuierliches Spektrum bildet, welches sich, unter Umst\u00E4nden, als abschnittsweise geschlossener mathematischer Ausdruck angeben l\u00E4sst. Wie auch die DFT bildet die DTFT im Bildbereich ein periodisch fortgesetztes Frequenzspektrum, welches als Spi"@de . . . . . "\uC774\uC0B0\uC2DC\uAC04 \uD478\uB9AC\uC5D0 \uBCC0\uD658"@ko . . . "\u5728\u6570\u5B66\u4E2D\uFF0C\u79BB\u6563\u65F6\u95F4\u5085\u91CC\u53F6\u53D8\u6362\uFF08DTFT\uFF0CDiscrete-time Fourier Transform\uFF09\u662F\u5085\u91CC\u53F6\u5206\u6790\u7684\u4E00\u79CD\u5F62\u5F0F\uFF0C\u9002\u7528\u4E8E\u8FDE\u7EED\u51FD\u6570\u7684\u5747\u5300\u95F4\u9694\u91C7\u6837\u3002\u79BB\u6563\u65F6\u95F4\u662F\u6307\u5BF9\u91C7\u6837\u95F4\u9694\u901A\u5E38\u4EE5\u65F6\u95F4\u4E3A\u5355\u4F4D\u7684\u79BB\u6563\u6570\u636E\uFF08\u6837\u672C\uFF09\u7684\u53D8\u6362\u3002\u4EC5\u6839\u636E\u8FD9\u4E9B\u6837\u672C\uFF0C\u5B83\u5C31\u53EF\u4EE5\u4EA7\u751F\u539F\u59CB\u8FDE\u7EED\u51FD\u6570\u7684\u8FDE\u7EED\u5085\u91CC\u53F6\u53D8\u6362\u7684\u7684\u4EE5\u9891\u7387\u4E3A\u53D8\u91CF\u7684\u51FD\u6570\u3002\u5728\u91C7\u6837\u5B9A\u7406\u6240\u63CF\u8FF0\u7684\u4E00\u5B9A\u7406\u8BBA\u6761\u4EF6\u4E0B\uFF0C\u53EF\u4EE5\u7531DTFT\u5B8C\u5168\u6062\u590D\u51FA\u539F\u6765\u7684\u8FDE\u7EED\u51FD\u6570\uFF0C\u56E0\u6B64\u4E5F\u80FD\u4ECE\u539F\u6765\u7684\u79BB\u6563\u6837\u672C\u6062\u590D\u3002DTFT\u672C\u8EAB\u662F\u9891\u7387\u7684\u8FDE\u7EED\u51FD\u6570\uFF0C\u4F46\u53EF\u4EE5\u901A\u8FC7\u79BB\u6563\u5085\u91CC\u53F6\u53D8\u6362\uFF08DFT\uFF09\u5F88\u5BB9\u6613\u8BA1\u7B97\u5F97\u5230\u5B83\u7684\u79BB\u6563\u6837\u672C\uFF08\u53C2\u89C1\u5BF9DTFT\u91C7\u6837\uFF09\uFF0C\u800CDFT\u662F\u8FC4\u4ECA\u4E3A\u6B62\u73B0\u4EE3\u5085\u91CC\u53F6\u5206\u6790\u6700\u5E38\u7528\u7684\u65B9\u6CD5\u3002 \u8FD9\u4E24\u79CD\u53D8\u6362\u90FD\u662F\u53EF\u9006\u7684\u3002\u79BB\u6563\u65F6\u95F4\u5085\u91CC\u53F6\u9006\u53D8\u6362\u5F97\u5230\u7684\u662F\u539F\u59CB\u91C7\u6837\u6570\u636E\u5E8F\u5217\u3002\u79BB\u6563\u5085\u91CC\u53F6\u9006\u53D8\u6362\u662F\u539F\u59CB\u5E8F\u5217\u7684\u5468\u671F\u6C42\u548C\u3002\u5FEB\u901F\u5085\u91CC\u53F6\u53D8\u6362\uFF08FFT\uFF09\u662F\u7528\u4E8E\u8BA1\u7B97DFT\u7684\u4E00\u4E2A\u5468\u671F\u7684\u7B97\u6CD5\uFF0C\u800C\u5B83\u7684\u9006\u53D8\u6362\u4F1A\u4EA7\u751F\u4E00\u4E2A\u5468\u671F\u7684\u79BB\u6563\u5085\u91CC\u53F6\u9006\u53D8\u6362\u3002"@zh . "Fouriertransformation f\u00FCr zeitdiskrete Signale"@de . "1070252623"^^ . "\u96E2\u6563\u6642\u9593\u30D5\u30FC\u30EA\u30A8\u5909\u63DB\uFF08\u82F1: Discrete-time Fourier transform\u3001DTFT\uFF09\u306F\u30D5\u30FC\u30EA\u30A8\u5909\u63DB\u306E\u4E00\u7A2E\u3002\u3057\u305F\u304C\u3063\u3066\u3001\u901A\u5E38\u6642\u9593\u9818\u57DF\u306E\u95A2\u6570\u3092\u5468\u6CE2\u6570\u9818\u57DF\u306B\u5909\u63DB\u3059\u308B\u3002\u305F\u3060\u3057\u3001DTFT\u3067\u306F\u5143\u306E\u95A2\u6570\u306F\u96E2\u6563\u7684\u3067\u306A\u3051\u308C\u3070\u306A\u3089\u306A\u3044\u3002\u305D\u306E\u3088\u3046\u306A\u5165\u529B\u306F\u9023\u7D9A\u95A2\u6570\u306E\u6A19\u672C\u5316\u306B\u3088\u3063\u3066\u751F\u6210\u3055\u308C\u308B\u3002 DTFT\u306E\u5468\u6CE2\u6570\u9818\u57DF\u306E\u8868\u73FE\u306F\u5E38\u306B\u5468\u671F\u7684\u95A2\u6570\u3067\u3042\u308B\u3002\u3057\u305F\u304C\u3063\u30661\u3064\u306E\u5468\u671F\u306B\u5FC5\u8981\u306A\u60C5\u5831\u304C\u5168\u3066\u542B\u307E\u308C\u308B\u305F\u3081\u3001DTFT\u3092\u300C\u6709\u9650\u306A\u300D\u5468\u6CE2\u6570\u9818\u57DF\u3078\u306E\u5909\u63DB\u3067\u3042\u308B\u3068\u3044\u3046\u3053\u3068\u3082\u3042\u308B\u3002"@ja . . "1216914"^^ . . . . . . . "\u79BB\u6563\u65F6\u95F4\u5085\u91CC\u53F6\u53D8\u6362"@zh . "\u96E2\u6563\u6642\u9593\u30D5\u30FC\u30EA\u30A8\u5909\u63DB"@ja . "\u5728\u6570\u5B66\u4E2D\uFF0C\u79BB\u6563\u65F6\u95F4\u5085\u91CC\u53F6\u53D8\u6362\uFF08DTFT\uFF0CDiscrete-time Fourier Transform\uFF09\u662F\u5085\u91CC\u53F6\u5206\u6790\u7684\u4E00\u79CD\u5F62\u5F0F\uFF0C\u9002\u7528\u4E8E\u8FDE\u7EED\u51FD\u6570\u7684\u5747\u5300\u95F4\u9694\u91C7\u6837\u3002\u79BB\u6563\u65F6\u95F4\u662F\u6307\u5BF9\u91C7\u6837\u95F4\u9694\u901A\u5E38\u4EE5\u65F6\u95F4\u4E3A\u5355\u4F4D\u7684\u79BB\u6563\u6570\u636E\uFF08\u6837\u672C\uFF09\u7684\u53D8\u6362\u3002\u4EC5\u6839\u636E\u8FD9\u4E9B\u6837\u672C\uFF0C\u5B83\u5C31\u53EF\u4EE5\u4EA7\u751F\u539F\u59CB\u8FDE\u7EED\u51FD\u6570\u7684\u8FDE\u7EED\u5085\u91CC\u53F6\u53D8\u6362\u7684\u7684\u4EE5\u9891\u7387\u4E3A\u53D8\u91CF\u7684\u51FD\u6570\u3002\u5728\u91C7\u6837\u5B9A\u7406\u6240\u63CF\u8FF0\u7684\u4E00\u5B9A\u7406\u8BBA\u6761\u4EF6\u4E0B\uFF0C\u53EF\u4EE5\u7531DTFT\u5B8C\u5168\u6062\u590D\u51FA\u539F\u6765\u7684\u8FDE\u7EED\u51FD\u6570\uFF0C\u56E0\u6B64\u4E5F\u80FD\u4ECE\u539F\u6765\u7684\u79BB\u6563\u6837\u672C\u6062\u590D\u3002DTFT\u672C\u8EAB\u662F\u9891\u7387\u7684\u8FDE\u7EED\u51FD\u6570\uFF0C\u4F46\u53EF\u4EE5\u901A\u8FC7\u79BB\u6563\u5085\u91CC\u53F6\u53D8\u6362\uFF08DFT\uFF09\u5F88\u5BB9\u6613\u8BA1\u7B97\u5F97\u5230\u5B83\u7684\u79BB\u6563\u6837\u672C\uFF08\u53C2\u89C1\u5BF9DTFT\u91C7\u6837\uFF09\uFF0C\u800CDFT\u662F\u8FC4\u4ECA\u4E3A\u6B62\u73B0\u4EE3\u5085\u91CC\u53F6\u5206\u6790\u6700\u5E38\u7528\u7684\u65B9\u6CD5\u3002 \u8FD9\u4E24\u79CD\u53D8\u6362\u90FD\u662F\u53EF\u9006\u7684\u3002\u79BB\u6563\u65F6\u95F4\u5085\u91CC\u53F6\u9006\u53D8\u6362\u5F97\u5230\u7684\u662F\u539F\u59CB\u91C7\u6837\u6570\u636E\u5E8F\u5217\u3002\u79BB\u6563\u5085\u91CC\u53F6\u9006\u53D8\u6362\u662F\u539F\u59CB\u5E8F\u5217\u7684\u5468\u671F\u6C42\u548C\u3002\u5FEB\u901F\u5085\u91CC\u53F6\u53D8\u6362\uFF08FFT\uFF09\u662F\u7528\u4E8E\u8BA1\u7B97DFT\u7684\u4E00\u4E2A\u5468\u671F\u7684\u7B97\u6CD5\uFF0C\u800C\u5B83\u7684\u9006\u53D8\u6362\u4F1A\u4EA7\u751F\u4E00\u4E2A\u5468\u671F\u7684\u79BB\u6563\u5085\u91CC\u53F6\u9006\u53D8\u6362\u3002"@zh . . . . . . . . . . "Discrete-time Fourier transform"@nl . . . . "39241"^^ . . . . . . . . . . "In mathematics, the discrete-time Fourier transform (DTFT) is a form of Fourier analysis that is applicable to a sequence of values. The DTFT is often used to analyze samples of a continuous function. The term discrete-time refers to the fact that the transform operates on discrete data, often samples whose interval has units of time. From uniformly spaced samples it produces a function of frequency that is a periodic summation of the continuous Fourier transform of the original continuous function. Under certain theoretical conditions, described by the sampling theorem, the original continuous function can be recovered perfectly from the DTFT and thus from the original discrete samples. The DTFT itself is a continuous function of frequency, but discrete samples of it can be readily calculated via the discrete Fourier transform (DFT) (see ), which is by far the most common method of modern Fourier analysis. Both transforms are invertible. The inverse DTFT is the original sampled data sequence. The inverse DFT is a periodic summation of the original sequence. The fast Fourier transform (FFT) is an algorithm for computing one cycle of the DFT, and its inverse produces one cycle of the inverse DFT."@en . . . . . "Em matem\u00E1tica, a transformada de Fourier de tempo discreto (DTFT) \u00E9 uma transformada integral estreitamente relacionada com a transformada de Fourier e com a transformada Z. A DTFT difere da transformada de Fourier ao aplicar-se a fun\u00E7\u00F5es cuja vari\u00E1vel independente \u00E9 discreta (descont\u00EDnua), e n\u00E3o cont\u00EDnua, como \u00E9 o caso da transformada de Fourier. A DTFT n\u00E3o deve ser confundida com a transformada discreta de Fourier (DFT), que pode ser considerada como um seu caso especial, que aparece numa situa\u00E7\u00E3o muito comum: quando a fun\u00E7\u00E3o original \u00E9 peri\u00F3dica."@pt . . "In matematica, la trasformata di Fourier a tempo discreto, spesso abbreviata con DTFT (acronimo del termine inglese Discrete-Time Fourier Transform), \u00E8 una trasformata che a partire da un segnale discreto ne fornisce una descrizione periodica nel dominio della frequenza, analogamente alla trasformata di Fourier tradizionale (definita per funzioni continue). Si tratta di un caso particolare della trasformata zeta: che si ottiene ponendo ( \u00E8 inteso come angolo). Dal momento che , la trasformata di Fourier a tempo discreto \u00E8 la valutazione della trasformata zeta sul cerchio unitario nel piano complesso."@it . . . . . "Transformada de Fourier de senyal discret"@ca . . . . . "\uC774\uC0B0\uC2DC\uAC04 \uD478\uB9AC\uC5D0 \uBCC0\uD658(Discrete-time Fourier transform, DTFT)\uC740 \uD478\uB9AC\uC5D0 \uBCC0\uD658\uC758 \uC77C\uC885\uC774\uB2E4. \uB530\uB77C\uC11C, \uC2DC\uAC04 \uB3C4\uBA54\uC778 \uC601\uC5ED\uC758 \uD568\uC218\uB97C \uC8FC\uD30C\uC218 \uB3C4\uBA54\uC778\uC758 \uD568\uC218\uB85C \uBCC0\uD658\uD55C\uB2E4. DTFT\uC5D0\uC11C \uBCC0\uD658\uC804\uC758 \uC6D0\uB798 \uD568\uC218\uB294 \uC774\uC0B0\uC801\uC778 \uAC12\uC758 \uC218\uC5F4\uC778\uB370, \uC774\uB7EC\uD55C \uC740 \uC5F0\uC18D\uD568\uC218\uC758 \uC0D8\uD50C\uB9C1\uC5D0 \uC758\uD558\uC5EC \uC0DD\uC131\uB41C\uB2E4. DTFT\uC758 \uC8FC\uD30C\uC218 \uB3C4\uBA54\uC778\uC5D0\uC11C\uC758 \uD45C\uD604\uC740 \uD56D\uC0C1 \uC8FC\uAE30\uC801\uC778 \uD568\uC218\uC774\uB2E4. \uB530\uB77C\uC11C \uD558\uB098\uC758 \uC8FC\uAE30\uC5D0 \uD544\uC694\uD55C \uC815\uBCF4\uAC00 \uBAA8\uB450 \uD3EC\uD568\uB418\uC5B4 \uC788\uC73C\uBBC0\uB85C DTFT\uB97C \"\uC720\uD55C\" \uC8FC\uD30C\uC218 \uC601\uC5ED\uC73C\uB85C\uC758 \uBCC0\uD658\uC73C\uB85C \uBD80\uB974\uAE30\uB3C4 \uD55C\uB2E4."@ko . . . . . . . . . . . "Die Fouriertransformation f\u00FCr zeitdiskrete Signale, auch als englisch discrete-time Fourier transform, abgek\u00FCrzt DTFT bezeichnet, ist eine lineare Transformation aus dem Bereich der Fourier-Analysis. Sie bildet ein unendliches, zeitdiskretes Signal auf ein kontinuierliches, periodisches Frequenzspektrum ab, welches auch als Bildbereich bezeichnet wird. Die DTFT ist mit der Diskreten Fourier-Transformation (DFT) verwandt, welche mit diskreten Zeitsignalen und diskreten Spektren arbeitet. Die DTFT unterscheidet sich von der DFT darin, dass sie ein kontinuierliches Spektrum bildet, welches sich, unter Umst\u00E4nden, als abschnittsweise geschlossener mathematischer Ausdruck angeben l\u00E4sst. Wie auch die DFT bildet die DTFT im Bildbereich ein periodisch fortgesetztes Frequenzspektrum, welches als Spiegelspektrum bezeichnet wird. Im Gegensatz zur DFT besitzt die DTFT nur eine geringe Bedeutung in praktischen Anwendungen wie der digitalen Signalverarbeitung, prim\u00E4rer Anwendungsbereich liegt bei der theoretischen Signalanalyse."@de . . . . . . "La Transformada de Fourier de senyal discret (DTFT, acr\u00F2nim angl\u00E8s de Discret Time Fourier Transform) \u00E9s la transformada de Fourier aplicada a un senyal discret creat a partir s'un senyal continu. Despr\u00E9s d'efectuar la transformada de Fourier s'obt\u00E9 una funci\u00F3 en la freq\u00FC\u00E8ncia que \u00E9s un sumatori peri\u00F2dic de la transformada de Fourier del senyal continu original. Aquesta transformada de Fourier es pot realitzar amb DFT (Discret Fourier Transform) de forma r\u00E0pida. La transformada inversa DTFT tamb\u00E9 \u00E9s viable."@ca . . "In mathematics, the discrete-time Fourier transform (DTFT) is a form of Fourier analysis that is applicable to a sequence of values. The DTFT is often used to analyze samples of a continuous function. The term discrete-time refers to the fact that the transform operates on discrete data, often samples whose interval has units of time. From uniformly spaced samples it produces a function of frequency that is a periodic summation of the continuous Fourier transform of the original continuous function. Under certain theoretical conditions, described by the sampling theorem, the original continuous function can be recovered perfectly from the DTFT and thus from the original discrete samples. The DTFT itself is a continuous function of frequency, but discrete samples of it can be readily calcul"@en . . "6"^^ . "Trasformata di Fourier a tempo discreto"@it . "#0073CF"@en . . . . . . "De discrete-time Fourier transform (of DTFT) maakt deel uit van de familie van de fouriertransformaties. Hij transformeert een functie van een discrete-tijdsvariabele , met , naar een continu, periodiek spectrum ."@nl . . . . "La Transformada de Fourier de senyal discret (DTFT, acr\u00F2nim angl\u00E8s de Discret Time Fourier Transform) \u00E9s la transformada de Fourier aplicada a un senyal discret creat a partir s'un senyal continu. Despr\u00E9s d'efectuar la transformada de Fourier s'obt\u00E9 una funci\u00F3 en la freq\u00FC\u00E8ncia que \u00E9s un sumatori peri\u00F2dic de la transformada de Fourier del senyal continu original. Aquesta transformada de Fourier es pot realitzar amb DFT (Discret Fourier Transform) de forma r\u00E0pida. La transformada inversa DTFT tamb\u00E9 \u00E9s viable."@ca . "\u96E2\u6563\u6642\u9593\u30D5\u30FC\u30EA\u30A8\u5909\u63DB\uFF08\u82F1: Discrete-time Fourier transform\u3001DTFT\uFF09\u306F\u30D5\u30FC\u30EA\u30A8\u5909\u63DB\u306E\u4E00\u7A2E\u3002\u3057\u305F\u304C\u3063\u3066\u3001\u901A\u5E38\u6642\u9593\u9818\u57DF\u306E\u95A2\u6570\u3092\u5468\u6CE2\u6570\u9818\u57DF\u306B\u5909\u63DB\u3059\u308B\u3002\u305F\u3060\u3057\u3001DTFT\u3067\u306F\u5143\u306E\u95A2\u6570\u306F\u96E2\u6563\u7684\u3067\u306A\u3051\u308C\u3070\u306A\u3089\u306A\u3044\u3002\u305D\u306E\u3088\u3046\u306A\u5165\u529B\u306F\u9023\u7D9A\u95A2\u6570\u306E\u6A19\u672C\u5316\u306B\u3088\u3063\u3066\u751F\u6210\u3055\u308C\u308B\u3002 DTFT\u306E\u5468\u6CE2\u6570\u9818\u57DF\u306E\u8868\u73FE\u306F\u5E38\u306B\u5468\u671F\u7684\u95A2\u6570\u3067\u3042\u308B\u3002\u3057\u305F\u304C\u3063\u30661\u3064\u306E\u5468\u671F\u306B\u5FC5\u8981\u306A\u60C5\u5831\u304C\u5168\u3066\u542B\u307E\u308C\u308B\u305F\u3081\u3001DTFT\u3092\u300C\u6709\u9650\u306A\u300D\u5468\u6CE2\u6570\u9818\u57DF\u3078\u306E\u5909\u63DB\u3067\u3042\u308B\u3068\u3044\u3046\u3053\u3068\u3082\u3042\u308B\u3002"@ja . "\uC774\uC0B0\uC2DC\uAC04 \uD478\uB9AC\uC5D0 \uBCC0\uD658(Discrete-time Fourier transform, DTFT)\uC740 \uD478\uB9AC\uC5D0 \uBCC0\uD658\uC758 \uC77C\uC885\uC774\uB2E4. \uB530\uB77C\uC11C, \uC2DC\uAC04 \uB3C4\uBA54\uC778 \uC601\uC5ED\uC758 \uD568\uC218\uB97C \uC8FC\uD30C\uC218 \uB3C4\uBA54\uC778\uC758 \uD568\uC218\uB85C \uBCC0\uD658\uD55C\uB2E4. DTFT\uC5D0\uC11C \uBCC0\uD658\uC804\uC758 \uC6D0\uB798 \uD568\uC218\uB294 \uC774\uC0B0\uC801\uC778 \uAC12\uC758 \uC218\uC5F4\uC778\uB370, \uC774\uB7EC\uD55C \uC740 \uC5F0\uC18D\uD568\uC218\uC758 \uC0D8\uD50C\uB9C1\uC5D0 \uC758\uD558\uC5EC \uC0DD\uC131\uB41C\uB2E4. DTFT\uC758 \uC8FC\uD30C\uC218 \uB3C4\uBA54\uC778\uC5D0\uC11C\uC758 \uD45C\uD604\uC740 \uD56D\uC0C1 \uC8FC\uAE30\uC801\uC778 \uD568\uC218\uC774\uB2E4. \uB530\uB77C\uC11C \uD558\uB098\uC758 \uC8FC\uAE30\uC5D0 \uD544\uC694\uD55C \uC815\uBCF4\uAC00 \uBAA8\uB450 \uD3EC\uD568\uB418\uC5B4 \uC788\uC73C\uBBC0\uB85C DTFT\uB97C \"\uC720\uD55C\" \uC8FC\uD30C\uC218 \uC601\uC5ED\uC73C\uB85C\uC758 \uBCC0\uD658\uC73C\uB85C \uBD80\uB974\uAE30\uB3C4 \uD55C\uB2E4."@ko . . . . . . . . . . . . . . . . . . "De discrete-time Fourier transform (of DTFT) maakt deel uit van de familie van de fouriertransformaties. Hij transformeert een functie van een discrete-tijdsvariabele , met , naar een continu, periodiek spectrum ."@nl . . . "Transformada de Fourier de tempo discreto"@pt . "#F5FFFA"@en . "Em matem\u00E1tica, a transformada de Fourier de tempo discreto (DTFT) \u00E9 uma transformada integral estreitamente relacionada com a transformada de Fourier e com a transformada Z. A DTFT difere da transformada de Fourier ao aplicar-se a fun\u00E7\u00F5es cuja vari\u00E1vel independente \u00E9 discreta (descont\u00EDnua), e n\u00E3o cont\u00EDnua, como \u00E9 o caso da transformada de Fourier. A DTFT n\u00E3o deve ser confundida com a transformada discreta de Fourier (DFT), que pode ser considerada como um seu caso especial, que aparece numa situa\u00E7\u00E3o muito comum: quando a fun\u00E7\u00E3o original \u00E9 peri\u00F3dica. Fun\u00E7\u00F5es discretas s\u00E3o sequ\u00EAncias de valores, que aparecem quando se amostra uma fun\u00E7\u00E3o cont\u00EDnua em intervalos definidos. Assim, a DTFT encontra muitas aplica\u00E7\u00F5es em \u00E1reas como c\u00E1lculo num\u00E9rico e controle digital. A fun\u00E7\u00E3o transformada \u00E9 sempre peri\u00F3dica. Uma vez que um per\u00EDodo da fun\u00E7\u00E3o j\u00E1 exibe toda a informa\u00E7\u00E3o contida na fun\u00E7\u00E3o, pode-se dizer que a DTFT \u00E9 uma representa\u00E7\u00E3o da fun\u00E7\u00E3o original em um dom\u00EDnio da frequ\u00EAncia finito. A DTFT \u00E9 dual, no sentido de Pontryagin, \u00E0 s\u00E9rie de Fourier, que faz a transforma\u00E7\u00E3o inversa, ou seja, produz uma representa\u00E7\u00E3o de uma fun\u00E7\u00E3o peri\u00F3dica no tempo em um dom\u00EDnio discreto de frequ\u00EAncias ."@pt . "Discrete-time Fourier transform"@en . . . . . . . . . "In matematica, la trasformata di Fourier a tempo discreto, spesso abbreviata con DTFT (acronimo del termine inglese Discrete-Time Fourier Transform), \u00E8 una trasformata che a partire da un segnale discreto ne fornisce una descrizione periodica nel dominio della frequenza, analogamente alla trasformata di Fourier tradizionale (definita per funzioni continue). Si tratta di un caso particolare della trasformata zeta:"@it . . . . . . . .