Optimal ambiguity functions and Weil's exponential sum bound

DOI10.1007/s00041-011-9204-3zbMath1250.42022arXiv1107.1887OpenAlexW2020106716MaRDI QIDQ438654

Joseph T. Woodworth, Robert L. Benedetto, John J. Benedetto

Publication date: 31 July 2012

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1887

zbMATH Keywords

Kloosterman sumsconstant amplitude zero autocorrelation sequencesdiscrete narrow-band ambiguity functionWeil's Riemann hypothesis

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Exponential sums (11T23)

Related Items (8)

Towards a classification of incomplete Gabor POVMs in ℂ ^d ⋮ A note on the HRT conjecture and a new uncertainty principle for the short-time Fourier transform ⋮ CAZAC Sequences and Haagerup’s Characterization of Cyclic N-roots ⋮ On biunimodular vectors for unitary matrices ⋮ Frame multiplication theory and a vector-valued DFT and ambiguity function ⋮ Fourier Operators in Applied Harmonic Analysis ⋮ Constructing Tight Gabor Frames Using CAZAC Sequences ⋮ On the existence of optimizers for time-frequency concentration problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Construction of infinite unimodular sequences with zero autocorrelation
• Communication codes and Bernoulli transformations.
• Grassmannian frames with applications to coding and communication
• Fourier Duals of Björck Sequences
• The Finite Harmonic Oscillator and Its Applications to Sequences, Communication, and Radar
• Complex sequences with low periodic correlations (Corresp.)
• Generalized chirp-like polyphase sequences with optimum correlation properties
• On finite pseudorandom binary sequences I: Measure of pseudorandomness, the Legendre symbol
• High-Resolution Radar via Compressed Sensing
• Polyphase codes with good periodic correlation properties (Corresp.)
• Theory of radar information
• On Some Exponential Sums

This page was built for publication: Optimal ambiguity functions and Weil's exponential sum bound