On the Hilbert transform of bounded bandlimited signals

DOI10.1134/S0032946012030027zbMath1270.94034OpenAlexW1980613545MaRDI QIDQ1928224

Holger Boche, Ullrich J. Mönich

Publication date: 2 January 2013

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

Full work available at URL: https://doi.org/10.1134/s0032946012030027

zbMATH Keywords

Hilbert transformclosed-form expressionsignal spaceconstructive procedureanalytical signalbounded bandlimited signalscommon integral representation

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (1)

The structure of bandlimited BMO-functions and applications

Cites Work

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• The Bedrosian identity for \(\mathbf H^p\) functions
• Non-equidistant sampling for bounded bandlimited signals
• The sampling theorem and linear prediction in signal analysis
• A few remarks about the Hilbert transform
• The Hilbert Transform of Schwartz Distributions
• Classical Fourier Analysis
• Theory of Analytic Modulation Systems
• There Exists No Globally Uniformly Convergent Reconstruction for the Paley–Wiener Space ${{\cal PW}}_{\pi}^{1}$ of Bandlimited Functions Sampled at Nyquist Rate
• Some properties of functions of exponential type
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• A note on Hilbert’s operator

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