Families of multi-level Legendre-like arrays

DOI10.1007/s10472-023-09903-9MaRDI QIDQ6150965

David M. Paganin, Benjamin Cavy, Imants Svalbe, Timothy Petersen

Publication date: 9 February 2024

Published in: Annals of Mathematics and Artificial Intelligence (Search for Journal in Brave)

zbMATH Keywords

discrete Radon transformLegendre sequencesconjugate symmetryfamilies of low cross-correlation and perfect autocorrelation arrays

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Radon transform (44A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Application of orthogonal and other special functions (94A11) Boolean and Hadamard matrices (15B34)

Cites Work

• Unnamed Item
• On some applications of Hadamard matrices
• Sequences with small correlation
• On the existence of Hadamard matrices
• Generalized nonbinary sequences with perfect autocorrelation, flexible alphabets and new periods
• A Construction for Perfect Periodic Autocorrelation Sequences
• The merit factor of Legendre sequences (Corresp.)
• Binary Sequences With Merit Factor Greater Than<tex>$6.34$</tex>
• There Are No Further Counterexamples to S. Piccard's Theorem
• Determination of the merit factor of Legendre sequences
• On Orthogonal Matrices
• The generation of impulse-equivalent pulse trains
• Optimal binary sequences for spread spectrum multiplexing (Corresp.)
• Polyphase codes with good periodic correlation properties (Corresp.)
• A Hadamard matrix of order 428
• Hadamard matrices and their applications
• Large families of ``grey arrays with perfect auto-correlation and optimal cross-correlation
• A curious invariance property of certain perfect Legendre arrays: stirring without mixing