Titlebook: Walsh Series and Transforms; Theory and Applicati B. Golubov,A. Efimov,V. Skvortsov Book 1991 Springer Science+Business Media Dordrecht 199

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Applications of Multiplicative Series and Transforms to Digital Information Processing,l information processing. This interest stems from a peculiarity of the Walsh functions, namely, that each one of them takes on only two values +1 and -1. A consequence of this peculiarity is that multiplication can be avoided when utilizing high speed computers for certain problems. In such cases a

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addition

Other Applications of Multiplicative Functions and Transformations, of numbers {.(.)}, called the ., in another sequence {.(.)}, which is called the ., or the .. In general, the relationship between the input sequence and the filter response can be written in the form

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Other Applications of Multiplicative Functions and Transformations, of numbers {.(.)}, called the ., in another sequence {.(.)}, which is called the ., or the .. In general, the relationship between the input sequence and the filter response can be written in the form

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Applications of Multiplicative Series and Transforms to Digital Information Processing,of simultaneous calculations on single instruction processors better than can be done using of the discrete Fourier transform (DFT). This allows one to carry out basic calculations using only addition thereby avoiding the more costly operation of multiplication.

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Applications of Multiplicative Series and Transforms to Digital Information Processing,of simultaneous calculations on single instruction processors better than can be done using of the discrete Fourier transform (DFT). This allows one to carry out basic calculations using only addition thereby avoiding the more costly operation of multiplication.

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Summability of Walsh Series by the Method of Arithmetic Means,ier series through the sequence of partial sums of order 2.. Here we shall examine another widely used method of summability which is called the method of arithmetic means, the first order method of Cesàro, or more briefly, the (., 1) method.

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Summability of Walsh Series by the Method of Arithmetic Means,ier series through the sequence of partial sums of order 2.. Here we shall examine another widely used method of summability which is called the method of arithmetic means, the first order method of Cesàro, or more briefly, the (., 1) method.

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ENACT

Walsh Functions and Their Generalizations,Consider the function defined on the half open unit interval [0, 1) by.Extend it to the real line by priodicity of period 1 and set .(.) = .(2.)for . = 0,1, … and real .. the functions .(.)are called the ..