منابع مشابه
On the computability of Walsh functions
The Haar and the Walsh functions are proved to be computable with respect to the Fine-metric dF which is induced from the in-nite product = {0; 1}{1;2; :::} with the weighted product metric dC of the discrete metric on {0; 1}. Although they are discontinuous functions on [0; 1] with respect to the Euclidean metric, they are continuous functions on ( ; dC) and on ([0; 1]; dF). On ( ; dC), comput...
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Introduction PACT Abstract A new method for the approximation of a special class of functions that are repre-sentable by absolute convergent Walsh series by means of Walsh polynomials in a base b is introduced. In contrast to the classical case of the Discrete Walsh Transform which soon becomes intractable when the dimension increases, this approach uses number theoretic integration methods for...
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In this paper we show how the Walsh fun ctions can be used to com pute schema var iance and rela te schema vari an ce to deception . We also calcula te op erator-adj usted fitness for Walsh funct ions.
متن کاملExperimental Electronic Music Devices Employing Walsh Functions
The complete orthonormal sel of Walsh functions is used to generate periodic \ forms and envelope shapes for an additive synthesis electronic music device. Walsh functions, cus i ly produced In JiuiUil circuitry, can be used to generate \ of harmonic and nonhannonJC waveforms. A second Walsh function generator f the basis of a digital envelope controller which can produce a wide variety of si t...
متن کاملNONSEPARABLE WALSH - TYPE FUNCTIONS ON R d
We study wavelet packets in the setting of a multiresolution analysis of L2(Rd) generated by an arbitrary dilation matrix A satisfying |det A| = 2. In particular, we consider the wavelet packets associated with a multiresolution analysis with a scaling function given by the characteristic function of some set (called a tile) in Rd. The functions in this class of wavelet packets are called gener...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1950
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1950-0042535-2