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Walsh function

In mathematics, more specifically in harmonic analysis, Walsh functions form a complete orthogonal set of functions that can be used to represent any discrete function—just like trigonometric functions can be used to represent any continuous function in Fourier analysis. They can thus be viewed as a discrete, digital counterpart of the continuous, analog…

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Overview

Definition

Comparison between Walsh functions and trigonometric functions

Properties

Generalizations

Applications

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Map overview Semantic statistics

Walsh function

Nodes79
Edges78
Triples80
Avg. degree1.97
Density0.025316
Components1

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Walsh function

Top relations

related to References · 48
Walsh function → Akadémiai Kiadó, Amer, An, Applications, Banach Spaces, Bibcode, Cambridge Philosophical Society, Cotype, Course IHP, December, Ferenc, Ferleger, Fine, Fyodor, Gilles, Harmonic, JSTOR, Lock-gray-alt-2, Lock-green, Lock-red-alt-2
has application · 9
Walsh function → Applications, For, FWHT, Hadamard, In, LCD, Monte Carlo, They, Walsh
related to Comparison between Walsh functions and trigonometric functions · 8
Walsh function → Both, Fourier, Franklin, Furthermore, Haar, Hadamard, Hilbert, Walsh
related to Walsh-Ferleger systems · 7
Walsh function → Cantor, Elements, Haar, Let, Of, Then, Walsh
related to External links · 4
Walsh function → Encyclopedia, Mathematics, MathWorld, Walsh
related to Definition · 3
Walsh function → For, Walsh, We
is a · 1
Walsh function → product of Rademacher functions

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Important terminology

walsh functions displaystyle system mathbb basis rademacher trigonometric hat interval discrete fermion series space infty analysis unit used digital continuous

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Walsh functionis aproduct of Rademacher functions0.90text
Walsh functionhas applicationApplications0.60section
Walsh functionhas applicationWalsh0.60section
Walsh functionhas applicationFor0.60section
Walsh functionhas applicationHadamard0.60section
Walsh functionhas applicationFWHT0.60section
Walsh functionhas applicationMonte Carlo0.60section
Walsh functionhas applicationIn0.60section
Walsh functionhas applicationThey0.60section
Walsh functionhas applicationLCD0.60section
Walsh functionrelated to Comparison between Walsh functions and trigonometric functionsWalsh0.60section
Walsh functionrelated to Comparison between Walsh functions and trigonometric functionsHilbert0.60section

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