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linear transform

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  • Linear transform model — The linear transform model refers to a fundamental assumption guiding the analysis of functional Magnetic Resonance Imaging (fMRI) studies. Specifically, the model holds that the fMRI signal is approximately proportional to a measure of local… …   Wikipedia

  • Linear complex structure — In mathematics, a complex structure on a real vector space V is an automorphism of V that squares to the minus identity, −I. Such a structure on V allows one to define multiplication by complex scalars in a canonical fashion so as to regard V as… …   Wikipedia

  • Linear circuit — A linear circuit is an electric circuit in which, for a sinusoidal input voltage of frequency f , any output of the circuit (current through any component, voltage across any component, etc.) is also sinusoidal with frequency f . Note that the… …   Wikipedia

  • Linear canonical transformation — Paraxial optical systems implemented entirely with thin lenses and propagation through free space and/or graded index (GRIN) media, are Quadratic Phase Systems (QPS). The effect of any arbitrary QPS on an input wavefield can be described using… …   Wikipedia

  • Linear filter — A linear filter applies a linear operator to a time varying input signal. Linear filters are very common in electronics and digital signal processing (see the article on electronic filters), but they can also be found in mechanical engineering… …   Wikipedia

  • Linear response function — A linear response function describes the input output relationshipof a signal transducer such as a radio turning electromagnetic waves into musicor a neuron turning synaptic input into a response.Because of its many applications in information… …   Wikipedia

  • Linear differential equation — In mathematics, a linear differential equation is a differential equation of the form: Ly = f ,where the differential operator L is a linear operator, y is the unknown function, and the right hand side fnof; is a given function (called the source …   Wikipedia

  • Linear system — A linear system is a mathematical model of a system based on the use of a linear operator.Linear systems typically exhibit features and properties that are much simpler than the general, nonlinear case.As a mathematical abstraction or… …   Wikipedia

  • Hough transform — The Hough transform (pronEng|ˈhʌf, rhymes with tough ) is a feature extraction technique used in image analysis, computer vision, and digital image processing. [Shapiro, Linda and Stockman, George. “Computer Vision,” Prentice Hall, Inc. 2001] The …   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

  • Discrete 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… …   Wikipedia

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