On the Construction of Finite Oscillator Dictionary

DOI10.1080/00927872.2013.785294zbMath1288.94018arXiv1010.2831OpenAlexW1558588949MaRDI QIDQ5417987

Zhenhua Gu, Zilong Wang, Hongfeng Wu, Kai Zhou, Rong Quan Feng

Publication date: 23 May 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2831

zbMATH Keywords

torusDFTWeil representationfinite harmonic oscillator

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Theta series; Weil representation; theta correspondences (11F27)

Cites Work

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• On some deterministic dictionaries supporting sparsity
• Nice error bases, mutually unbiased bases, induced representations, the Heisenberg group and finite geometries
• On the diagonalization of the discrete Fourier transform
• A note on the diagonalization of the discrete Fourier transform
• Sur certains groupes d'opérateurs unitaires
• The Finite Harmonic Oscillator and Its Applications to Sequences, Communication, and Radar
• Complex Representations of 𝐺𝐿(2,𝐾) for Finite Fields 𝐾
• New Sequences Design From Weil Representation With Low Two-Dimensional Correlation in Both Time and Phase Shifts
• Sequence Families With Low Correlation Derived From Multiplicative and Additive Characters

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