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  2. Multidimensional transform - Wikipedia

    en.wikipedia.org/wiki/Multidimensional_transform

    The multidimensional Laplace transform is useful for the solution of boundary value problems. Boundary value problems in two or more variables characterized by partial differential equations can be solved by a direct use of the Laplace transform. [3] The Laplace transform for an M-dimensional case is defined [3] as.

  3. Indirect Fourier transformation - Wikipedia

    en.wikipedia.org/wiki/Indirect_Fourier...

    Indirect Fourier transformation. In a Fourier transformation (FT), the Fourier transformed function is obtained from by: where is defined as . can be obtained from by inverse FT: and are inverse variables, e.g. frequency and time. Obtaining directly requires that is well known from to , vice versa. In real experimental data this is rarely the ...

  4. Fourier transform - Wikipedia

    en.wikipedia.org/wiki/Fourier_transform

    In physics, engineering and mathematics, the Fourier transform (FT) is an integral transform that takes a function as input and outputs another function that describes the extent to which various frequencies are present in the original function. The output of the transform is a complex -valued function of frequency.

  5. Fast Fourier transform - Wikipedia

    en.wikipedia.org/wiki/Fast_Fourier_transform

    A discrete Fourier analysis of a sum of cosine waves at 10, 20, 30, 40, and 50 Hz. A fast Fourier transform (FFT) is an algorithm that computes the Discrete Fourier Transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis converts a signal from its original domain (often time or space) to a representation in the frequency domain ...

  6. Mu Ko Ang Thong National Park - Wikipedia

    en.wikipedia.org/wiki/Mu_Ko_Ang_Thong_National_Park

    Mu Ko Ang Thong is a marine national park in the Gulf of Thailand in Surat Thani Province. [2] It covers 42 islands in a total area of 63,750 rai ~ 102 square kilometres (39 sq mi), [3] of which about 50 square kilometres (19 sq mi) are land and the rest is water. The park was established on 12 November 1980. [4]

  7. Hartley transform - Wikipedia

    en.wikipedia.org/wiki/Hartley_transform

    Hartley transform. In mathematics, the Hartley transform (HT) is an integral transform closely related to the Fourier transform (FT), but which transforms real-valued functions to real-valued functions. It was proposed as an alternative to the Fourier transform by Ralph V. L. Hartley in 1942, [1] and is one of many known Fourier-related transforms.

  8. Multidimensional modulation - Wikipedia

    en.wikipedia.org/wiki/Multidimensional_modulation

    Multidimensional modulation (MD modulation) is modifying or multiplying an MD signal (typically sinusoidal and referred to as the carrier signal) with another signal that carries some information or message. In the frequency domain, the signal is moved from one frequency to another. if. then.

  9. Bailey's FFT algorithm - Wikipedia

    en.wikipedia.org/wiki/Bailey's_FFT_algorithm

    Bailey algorithm (4-step version) for a 16-point FFT. The Bailey's FFT (also known as a 4-step FFT) is a high-performance algorithm for computing the fast Fourier transform (FFT). This variation of the Cooley–Tukey FFT algorithm was originally designed for systems with hierarchical memory common in modern computers (and was the first FFT ...