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- Discrete-time_Fourier_transform abstract "In mathematics, the discrete-time Fourier transform (DTFT) is a form of Fourier analysis that is applicable to the uniformly-spaced samples of a continuous function. The term discrete-time refers to the fact that the transform operates on discrete data (samples) whose interval often has units of time. From only the 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 Sampling the DTFT), 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.".
- Discrete-time_Fourier_transform thumbnail Fourier_transform,_Fourier_series,_DTFT,_DFT.gif?width=300.
- Discrete-time_Fourier_transform wikiPageID "1216914".
- Discrete-time_Fourier_transform wikiPageLength "24052".
- Discrete-time_Fourier_transform wikiPageOutDegree "55".
- Discrete-time_Fourier_transform wikiPageRevisionID "706609056".
- Discrete-time_Fourier_transform wikiPageWikiLink Aliasing.
- Discrete-time_Fourier_transform wikiPageWikiLink Category:Digital_signal_processing.
- Discrete-time_Fourier_transform wikiPageWikiLink Category:Fourier_analysis.
- Discrete-time_Fourier_transform wikiPageWikiLink Category:Transforms.
- Discrete-time_Fourier_transform wikiPageWikiLink Cauchy_principal_value.
- Discrete-time_Fourier_transform wikiPageWikiLink Circular_convolution.
- Discrete-time_Fourier_transform wikiPageWikiLink Complex_conjugate.
- Discrete-time_Fourier_transform wikiPageWikiLink Convolution.
- Discrete-time_Fourier_transform wikiPageWikiLink Convolution_theorem.
- Discrete-time_Fourier_transform wikiPageWikiLink Cross-correlation.
- Discrete-time_Fourier_transform wikiPageWikiLink Differentiator.
- Discrete-time_Fourier_transform wikiPageWikiLink Dirac_comb.
- Discrete-time_Fourier_transform wikiPageWikiLink Dirac_delta_function.
- Discrete-time_Fourier_transform wikiPageWikiLink Discrete-time_Fourier_transform.
- Discrete-time_Fourier_transform wikiPageWikiLink Discrete_Fourier_transform.
- Discrete-time_Fourier_transform wikiPageWikiLink Distribution_(mathematics).
- Discrete-time_Fourier_transform wikiPageWikiLink Fast_Fourier_transform.
- Discrete-time_Fourier_transform wikiPageWikiLink Filter_bank.
- Discrete-time_Fourier_transform wikiPageWikiLink Finite_impulse_response.
- Discrete-time_Fourier_transform wikiPageWikiLink Fourier_analysis.
- Discrete-time_Fourier_transform wikiPageWikiLink Fourier_series.
- Discrete-time_Fourier_transform wikiPageWikiLink Fourier_transform.
- Discrete-time_Fourier_transform wikiPageWikiLink Harmonic.
- Discrete-time_Fourier_transform wikiPageWikiLink Heaviside_step_function.
- Discrete-time_Fourier_transform wikiPageWikiLink Hertz.
- Discrete-time_Fourier_transform wikiPageWikiLink Hilbert_transform.
- Discrete-time_Fourier_transform wikiPageWikiLink Kronecker_delta.
- Discrete-time_Fourier_transform wikiPageWikiLink Mathematics.
- Discrete-time_Fourier_transform wikiPageWikiLink Modulation.
- Discrete-time_Fourier_transform wikiPageWikiLink Multidimensional_transform.
- Discrete-time_Fourier_transform wikiPageWikiLink Normalized_frequency_(unit).
- Discrete-time_Fourier_transform wikiPageWikiLink Number.
- Discrete-time_Fourier_transform wikiPageWikiLink Nyquist–Shannon_sampling_theorem.
- Discrete-time_Fourier_transform wikiPageWikiLink Parsevals_theorem.
- Discrete-time_Fourier_transform wikiPageWikiLink Periodic_summation.
- Discrete-time_Fourier_transform wikiPageWikiLink Poisson_summation_formula.
- Discrete-time_Fourier_transform wikiPageWikiLink Pole_(complex_analysis).
- Discrete-time_Fourier_transform wikiPageWikiLink Rectangular_function.
- Discrete-time_Fourier_transform wikiPageWikiLink Sinc_function.
- Discrete-time_Fourier_transform wikiPageWikiLink Spectral_leakage.
- Discrete-time_Fourier_transform wikiPageWikiLink Triangular_function.
- Discrete-time_Fourier_transform wikiPageWikiLink Unit_circle.
- Discrete-time_Fourier_transform wikiPageWikiLink Window_function.
- Discrete-time_Fourier_transform wikiPageWikiLink Z-transform.
- Discrete-time_Fourier_transform wikiPageWikiLink Zak_transform.
- Discrete-time_Fourier_transform wikiPageWikiLink File:Fourier_transform,_Fourier_series,_DTFT,_DFT.gif.
- Discrete-time_Fourier_transform wikiPageWikiLink File:No-zeropad.png.
- Discrete-time_Fourier_transform wikiPageWikiLink File:Trapezoid_signal.svg.
- Discrete-time_Fourier_transform wikiPageWikiLink File:Zeropad.png.
- Discrete-time_Fourier_transform wikiPageWikiLinkText "DFT".
- Discrete-time_Fourier_transform wikiPageWikiLinkText "DTFT".
- Discrete-time_Fourier_transform wikiPageWikiLinkText "DTFT/Periodic data".
- Discrete-time_Fourier_transform wikiPageWikiLinkText "DTFT/Sampling the DTFT".
- Discrete-time_Fourier_transform wikiPageWikiLinkText "Discrete-time Fourier transform".
- Discrete-time_Fourier_transform wikiPageWikiLinkText "Discrete-time Fourier transform#Inverse transform".
- Discrete-time_Fourier_transform wikiPageWikiLinkText "Sampling the DTFT".
- Discrete-time_Fourier_transform wikiPageWikiLinkText "Using the DTFT with periodic data".
- Discrete-time_Fourier_transform wikiPageWikiLinkText "discrete-time Fourier transform (DTFT)".
- Discrete-time_Fourier_transform wikiPageWikiLinkText "discrete-time Fourier transform".
- Discrete-time_Fourier_transform wikiPageWikiLinkText "inverse discrete-time Fourier transform".
- Discrete-time_Fourier_transform wikiPageWikiLinkText "zero-padding".
- Discrete-time_Fourier_transform wikiPageUsesTemplate Template:Cite_book.
- Discrete-time_Fourier_transform wikiPageUsesTemplate Template:DSP.
- Discrete-time_Fourier_transform wikiPageUsesTemplate Template:EquationNote.
- Discrete-time_Fourier_transform wikiPageUsesTemplate Template:EquationRef.
- Discrete-time_Fourier_transform wikiPageUsesTemplate Template:Fourier_transforms.
- Discrete-time_Fourier_transform wikiPageUsesTemplate Template:NumBlk.
- Discrete-time_Fourier_transform wikiPageUsesTemplate Template:Reflist.
- Discrete-time_Fourier_transform subject Category:Digital_signal_processing.
- Discrete-time_Fourier_transform subject Category:Fourier_analysis.
- Discrete-time_Fourier_transform subject Category:Transforms.
- Discrete-time_Fourier_transform hypernym Form.
- Discrete-time_Fourier_transform type Algorithm.
- Discrete-time_Fourier_transform type Function.
- Discrete-time_Fourier_transform type Redirect.
- Discrete-time_Fourier_transform type Transform.
- Discrete-time_Fourier_transform comment "In mathematics, the discrete-time Fourier transform (DTFT) is a form of Fourier analysis that is applicable to the uniformly-spaced samples of a continuous function. The term discrete-time refers to the fact that the transform operates on discrete data (samples) whose interval often has units of time. From only the samples, it produces a function of frequency that is a periodic summation of the continuous Fourier transform of the original continuous function.".
- Discrete-time_Fourier_transform label "Discrete-time Fourier transform".
- Discrete-time_Fourier_transform sameAs Q1440048.
- Discrete-time_Fourier_transform sameAs Fouriertransformation_für_zeitdiskrete_Signale.
- Discrete-time_Fourier_transform sameAs تبدیل_فوریه_گسستهزمان.
- Discrete-time_Fourier_transform sameAs डिस्क्रीट_टाइम_फुरिअर_ट्रान्सफार्म.
- Discrete-time_Fourier_transform sameAs Trasformata_di_Fourier_a_tempo_discreto.
- Discrete-time_Fourier_transform sameAs 離散時間フーリエ変換.
- Discrete-time_Fourier_transform sameAs Discrete-time_Fourier_transform.
- Discrete-time_Fourier_transform sameAs Transformada_de_Fourier_de_tempo_discreto.
- Discrete-time_Fourier_transform sameAs m.04j4cw.
- Discrete-time_Fourier_transform sameAs Transformimi_i_Furierit_në_kohë_diskrete.
- Discrete-time_Fourier_transform sameAs Q1440048.
- Discrete-time_Fourier_transform sameAs 离散时间傅里叶变换.
- Discrete-time_Fourier_transform wasDerivedFrom Discrete-time_Fourier_transform?oldid=706609056.
- Discrete-time_Fourier_transform depiction Fourier_transform,_Fourier_series,_DTFT,_DFT.gif.
- Discrete-time_Fourier_transform isPrimaryTopicOf Discrete-time_Fourier_transform.
