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discrete Hilbert transform

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  • Hilbert transform — In mathematics and in signal processing, the Hilbert transform is a linear operator which takes a function, u ( t ), and produces a function, H ( u )( t ), with the same domain. The Hilbert transform is named after David Hilbert, who first… …   Wikipedia

  • Hilbert spectral analysis — is a signal analysis method applying the Hilbert transform to compute the instantaneous frequency of signals according to :omega=frac{d heta(t)}{dt}.,After performing the Hilbert transform on each signal, we can express the data in the following… …   Wikipedia

  • Discrete-time Fourier transform — In mathematics, the discrete time Fourier transform (DTFT) is one of the specific forms of Fourier analysis. As such, it transforms one function into another, which is called the frequency domain representation, or simply the DTFT , of the… …   Wikipedia

  • Hilbert-Transformation — Die Hilbert Transformation ist in der Funktionalanalysis, einem Teilgebiet der Mathematik, eine lineare Integraltransformation. Sie ist nach David Hilbert benannt, welcher sie Anfang des 20. Jahrhunderts bei Arbeiten am Riemann–Hilbert Problem… …   Deutsch Wikipedia

  • Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

  • Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …   Wikipedia

  • Wavelet transform — An example of the 2D discrete wavelet transform that is used in JPEG2000. In mathematics, a wavelet series is a representation of a square integrable (real or complex valued) function by a certain orthonormal series generated by a wavelet …   Wikipedia

  • Quantum Fourier transform — The quantum Fourier transform is the discrete Fourier transform with a particular decomposition into a product of simpler unitary matrices. Using this decomposition, the discrete Fourier transform can be implemented as a quantum circuit… …   Wikipedia

  • Circular convolution — The circular convolution, also known as cyclic convolution, of two aperiodic functions occurs when one of them is convolved in the normal way with a periodic summation of the other function.  That situation arises in the context of the… …   Wikipedia

  • Fourier series — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms …   Wikipedia

  • Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …   Wikipedia

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