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linear convolution

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  • Convolution theorem — In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution is the pointwise product of Fourier transforms. In other words, convolution in one domain (e.g., time domain) equals point wise… …   Wikipedia

  • Convolution of probability distributions — The convolution of probability distributions arises in probability theory and statistics as the operation in terms of probability distributions that corresponds to the addition of independent random variables and, by extension, to forming linear… …   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

  • 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

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  • Titchmarsh convolution theorem — The Titchmarsh convolution theoremis named after Edward Charles Titchmarsh.The theorem describes the properties of the support of the convolutionof two functions. Titchmarsh convolution theorem E.C. Titchmarshproved the following theorem in 1926 …   Wikipedia

  • Code-excited linear prediction — (CELP) is a speech coding algorithm originally proposed by M.R. Schroeder and B.S. Atal in 1985. At the time, it provided significantly better quality than existing low bit rate algorithms, such as residual excited linear prediction and linear… …   Wikipedia

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