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  • Spectrum continuation analysis — (SCA) is a generalization of the concept of Fourier series to non periodic functions of which only a fragment has been sampled in the time domain.Recall that a Fourier series is only suitable to the analysis of periodic (or finite domain)… …   Wikipedia

  • spectrum — [spek′trəm] n. pl. spectra [spek′trə] or spectrums [ModL, special use (by NEWTON2 Sir Isaac, 1671) of L spectrum: see SPECTER] 1. the series of colored bands dispersed and arranged in the order of their respective wavelengths by the passage of… …   English World dictionary

  • Spectrum (functional analysis) — In functional analysis, the concept of the spectrum of a bounded operator is a generalisation of the concept of eigenvalues for matrices. Specifically, a complex number λ is said to be in the spectrum of a bounded linear operator T if… …   Wikipedia

  • Spectrum — A spectrum (plural spectra or spectrums [ [http://dictionary.reference.com/browse/spectrum Dictionary.com] . The American Heritage Dictionary of the English Language , Fourth Edition. Houghton Mifflin Company, 2004. (accessed: January 25, 2008).] …   Wikipedia

  • spectrum — /ˈspɛktrəm / (say spektruhm) noun (plural spectra or spectrums) Physics 1. the band of colours (red, orange, yellow, green, blue, indigo, violet) produced when white light passes through a prism. 2. a continuous range of frequencies within which… …  

  • Spectrum analyzer — A spectrum analyzer Spectrum analyzer display A spectrum analyzer measures the magnitude of an input signal versus frequency with …   Wikipedia

  • Spectrum of a theory — In model theory, a branch of mathematical logic, the spectrum of a theory is given by the number of isomorphism classes of models in various cardinalities. More precisely, for any complete theory T in a language we write I(T, α) for the number of …   Wikipedia

  • Spectrum of a ring — In abstract algebra and algebraic geometry, the spectrum of a commutative ring R , denoted by Spec( R ), is defined to be the set of all proper prime ideals of R . It is commonly augmented with the Zariski topology and with a structure sheaf,… …   Wikipedia

  • Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …   Wikipedia

  • Decomposition of spectrum (functional analysis) — In mathematics, especially functional analysis, the spectrum of an operator generalizes the notion of eigenvalues. Given an operator, it is sometimes useful to break up the spectrum into various parts. This article discusses a few examples of… …   Wikipedia

  • Window function — For the term used in SQL statements, see Window function (SQL) In signal processing, a window function (also known as an apodization function or tapering function[1]) is a mathematical function that is zero valued outside of some chosen interval …   Wikipedia

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