منابع مشابه
Sampling with Walsh Transforms
With the advent of massive data outputs at a regular rate, admittedly, signal processing technology plays an increasingly important role. Nowadays, signals are not merely restricted to the physical domain, they have been extended to cover a much wider range of statistical sources (including financial signals, graph signals). Under the general assumption of discrete statistical signal sources, w...
متن کاملWalsh Summing and Differencing Transforms
Analogous to Fourier frequency transforms of the integration and differentiation of a continuous-time function, Walsh sequency transforms of the summing and differencing of an arbitrary discrete-time function have been derived. These transforms can be represented numerically in the form of matrices of simple recursive structure. The matrices are not orthogonal, but they are the inverse of each ...
متن کاملArbitrary-Length Walsh-Jacket Transforms
Due to the efficiency in implementation, the Walsh (Hadamard) transform plays an important role in signal analysis and communication. Recently, Lee generalized the Walsh transform into the Jacket transform. Since the entries of the Jacket transform can be ±2, it is more flexible than the Walsh transform. Both the Walsh transform and the Jacket transform are defined for the case where the length...
متن کاملOn Walsh-fourier Series^)
Every function f(x) which is of period 1 and Lebesgue integrable on [0, 1 ] may be expanded in a Walsh-Fourier series(3), f(x)~ ?.?=n ak\pk(x), where ak=fof(x)ypk(x)dx, k=0, 1, 2, • • • . Fine exhibited some of the basic similarities and differences between the trigonometric orthonormal system and the Walsh system. He identified the Walsh functions with the full set of characters of the dyadic ...
متن کاملReciprocal Walsh Series
Abstract-Any basis function of a generalized Fourier series takes on many values in an interval. In contrast, the binary nature of the basis functions of Walsh-Fourier series (WFS) allows them to be considered self-reciprocall except for a finite number of discontinuities. Hence, quotients of linear combinations of Walsh functions may be used to generate series representations of reciprocals of...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1992
ISSN: 0021-9045
DOI: 10.1016/0021-9045(92)90071-u