Approximating linear functionals on unitary spaces in the presence of bounded data errors with applications to signal recovery

DOI10.1002/acs.4480090104zbMath0836.94004OpenAlexW2130141845MaRDI QIDQ4834417

Marek A. Kowalski, Bolesław Kacewicz

Publication date: 5 July 1995

Published in: International Journal of Adaptive Control and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/acs.4480090104

zbMATH Keywords

estimationHilbert spaceapproximationband-limited signalsestimation error

Mathematics Subject Classification ID

Control/observation systems with incomplete information (93C41) Estimation and detection in stochastic control theory (93E10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (4)

Recovering signals from inner products involving prolate spheroidals in the presence of jitter ⋮ Relation of Average Error in Prolate Spheroidal Wave Functions Algorithm for Bandlimited Functions Approximation to Radius of Information ⋮ Approximating band- and energy-limited signals in the presence of jitter ⋮ Spatial shape-preserving interpolation using \(\nu\)-splines

Cites Work

• Optimal complexity recovery of band- and energy-limited signals
• Best approximation of functions specified with an error at a finite number of points
• Some Asymptotic Expansions for Prolate Spheroidal Wave Functions
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty-III: The Dimension of the Space of Essentially Time- and Band-Limited Signals

This page was built for publication: Approximating linear functionals on unitary spaces in the presence of bounded data errors with applications to signal recovery