Signal approximations based on nonlinear and optimal piecewise affine functions

DOI10.1007/s00034-022-02224-yzbMath1510.94042OpenAlexW4308648706MaRDI QIDQ6044429

El Hadji S. Diop, Ata Ngom, V. B. Surya Prasath

Publication date: 19 May 2023

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00034-022-02224-y

zbMATH Keywords

optimizationnonlinearityapproximationspiecewise affine functions

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Application of orthogonal and other special functions (94A11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Greedy function approximation: A gradient boosting machine.
• An integer approximation method for discrete sinusoidal transforms
• A novel decimal logarithmic converter based on first-order polynomial approximation
• Improved digital rational approximation of the operator \(S^\alpha\) using second-order s-to-z transform and signal modeling
• Lebesgue piecewise affine approximation of nonlinear systems
• A practical guide to splines
• Control of systems integrating logic, dynamics, and constraints
• An event-triggered approach to distributed \(H_\infty\) state estimation for state-saturated systems with randomly occurring mixed delays
• A new Chebyshev-like low-pass filter approximation
• Nonlinear sequence transformation-based continuous-time wavelet filter approximation
• Optimal nonlinear signal approximations based on piecewise constant functions
• A sampled-data approach to distributed \(H_\infty\) resilient state estimation for a class of nonlinear time-delay systems over sensor networks
• Piecewise affine approximations for functions of bounded variation
• Quantitative Fourier analysis of approximation techniques. I. Interpolators and projectors
• Optimal approximations by piecewise smooth functions and associated variational problems
• Nonlinear approximation and its applications
• B-spline signal processing. I. Theory
• B-spline signal processing. II. Efficiency design and applications
• Sparse Reconstruction by Separable Approximation
• Double Sparsity: Learning Sparse Dictionaries for Sparse Signal Approximation
• Stochastic Models for Sparse and Piecewise-Smooth Signals
• Matching pursuits with time-frequency dictionaries
• Topology-induced dynamics in a network of synthetic oscillators with piecewise affine approximation
• Ultra-Fast Stabilizing Model Predictive Control via Canonical Piecewise Affine Approximations
• Compressed sensing
• Approximation by superpositions of a sigmoidal function

This page was built for publication: Signal approximations based on nonlinear and optimal piecewise affine functions