two-dimensional fourier transform

  • 1Two-dimensional nuclear magnetic resonance spectroscopy — (2D NMR) is a set of nuclear magnetic resonance spectroscopy (NMR) methods which give data plotted in a space defined by two frequency axes rather than one. Types of 2D NMR include correlation spectroscopy (COSY), J spectroscopy, exchange… …

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  • 2Two-dimensional infrared spectroscopy — Nonlinear two dimensional infrared spectroscopy (2DIR) is a technique that has the ability to correlate vibrational modes in condensed phase systems. This technique provides information beyond linear infrared spectra, by spreading the vibrational …

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  • 3Fourier 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… …

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  • 4Short-time Fourier transform — The short time Fourier transform (STFT), or alternatively short term Fourier transform, is a Fourier related transform used to determine the sinusoidal frequency and phase content of local sections of a signal as it changes over time. STFT… …

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  • 5Discrete Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms In mathematics, the discrete Fourier transform (DFT) is a specific kind of discrete transform, used in… …

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  • 6Fast Fourier transform — A fast Fourier transform (FFT) is an efficient algorithm to compute the discrete Fourier transform (DFT) and its inverse. There are many distinct FFT algorithms involving a wide range of mathematics, from simple complex number arithmetic to group …

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  • 7Quantum 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… …

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  • 8Fourier series — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms …

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  • 9Fourier operator — The Fourier operator is the kernel of the Fredholm integral of the first kind that defines the continuous Fourier transform.It may be thought of as a limiting case for when the size of the discrete Fourier transform increases without bound while… …

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  • 10Radon transform — In mathematics, the Radon transform in two dimensions, named after the Austrian mathmematician Johann Radon, is the integral transform consisting of the integral of a function over straight lines. The inverse of the Radon transform is used to… …

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