Eigenspaces of the discrete Walsh transform

DOI10.1134/S0032946010030051zbMath1241.94018MaRDI QIDQ764071

M. S. Bespalov

Publication date: 13 March 2012

Published in: Problems of Information Transmission (Search for Journal in Brave)

zbMATH Keywords

eigenspacesspectral decompositionerror detectionerror correctiondiscrete Walsh transformPaley enumerationParseval framesdirect product of matricesdiscrete Walsh function

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Sampling theory in information and communication theory (94A20)

Related Items (8)

Derivation of fast algorithms via binary filtering of signals ⋮ Finite Parseval frames in Walsh analysis ⋮ Extraction of Walsh harmonics by linear combinations of dyadic shifts ⋮ Parseval frames and the discrete Walsh transform ⋮ Cyclic operators for columns of the matrices of discrete transforms ⋮ New Good's type Kronecker power expansions ⋮ Discrete Chrestenson transform ⋮ Generating operator for discrete Chrestenson functions

Cites Work

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• Operators of the multiplicative Fourier transform
• A note on the description of frames of general form
• Equal-norm tight frames with erasures
• Hadamard matrices of order 764 exist
• A Remarkable Series of Orthogonal Functions (I)
• On Orthogonal Matrices
• Sums of projections

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