Results 281 to 290 of about 512,361 (324)

On Arithmetical Shift for Walsh Functions

IEEE Transactions on Computers, 1972
A general expression for oo such that cal (k,θ+θ0)= sal (k,θ) is obtained and a proof is given. This new form of θ0 is more direct and thus easier to use than other existing formulas.
Le Dinh Chon Tam, Goulet, Roger Y.
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On an Ordering of Walsh Functions

IEEE Transactions on Computers, 1978
Summary: In addition to the automorphism between the sequency and the Gray-code-of-sequency ordering for Walsh functions there is also one for Kacsmarz ordering. This is shown by using a matrix definition suggested by \textit{K. W. Henderson} some years ago [IEEE Trans. Electron. Comput. 13, 50--52 (1964; Zbl 0137.25203)].
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A pseudospectral Walsh function method

Journal of the Franklin Institute, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sloss, B. G., Blyth, W. F.
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A Compact Definition of Walsh Functions

IEEE Transactions on Computers, 1972
A polynomial definition of the Walsh functions (very similar to that used by Titsworth [9] or Pearl [7]) is shown to be equivalent to Pichler-Harmuth's formulas [3]. It gives an easy way to derive some properties of Walsh functions, such as their relationship with the Gray code or the shifting theorem.
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New Capabilities of Walsh Functions and Walsh Transforms

1977
Abstract : Research progress has been in four areas: solution of difference equations; sequency ordering of Hadamard functions; generalized orthogonal transformation matrix; and analysis of nonlinear systems.
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An Implementation Technique for Walsh Functions

IEEE Transactions on Computers, 1971
A technique is presented for the generation of any finite set of Walsh functions in both serial and parallel form. It uses a straightforward constructive definition of these functions. In order to simultaneously generate the first 2nfunctions, [(22n-1)/3] storage devices and (2n+2-5) logic gates are required.
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Methods using Walsh functions

1991
Analytical expressions for integral functions of linear system output signals and their Walsh function coefficients are derived. Personal computer signal processing algorithms are then developed. Methods for Walsh coefficient evaluation of integral functions are discussed.
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A Note on the Walsh Functions

IEEE Transactions on Electronic Computers, 1964
Beweis einer Vermutung von \textit{W. K. Henderson} [ IEEE Trans. Electron. Comput. 13, 50--52 (1964; Zbl 0137.25203)], nach der alle Walsh-Matrizen symmetrisch sind.
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Some Notes on the Walsh Functions

IEEE Transactions on Electronic Computers, 1964
The complete set of orthogonal functions of binary variables called Walsh functions can be obtained as direct products of the subclass of these functions known as Rademacher functions. The complete set of Walsh functions can be conveniently represented by a square matrix of l's and ?1's, which, when normalized, is an orthogonal matrix.
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Instant Walsh Functions

SIAM Review, 1970
Byrnes, J. S., Swick, D. A.
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