Mathematical Methods and Algorithms for Real-Time Applications

Abstract

The notion of super splines and vertex splines is introduced and studied. Quasi-interpolation formulas for real-time applications are constructed. The method of noncommutative blending of quasi-interpolation and vertex spline interpolation is introduced to yield interpolation schemes which are local, flexible, and of optimal approximation orders. These formulas can be applied to real-time interpolation by means of table-look-up or FIR implementation. Applications to engineering problems such as parallel implementation of the extended Kalman filter and Hankel-norm frequency domain methods are studied. Wavelets are constructed by applying cardinal splines, and hence, they are readily available for real-time interpolation and orthogonal wavelet decompositions and reconstructions.

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Document Details

Document Type
Technical Report
Publication Date
Sep 25, 1990
Accession Number
ADA228889

Entities

People

  • Charles K. Chui

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Electrical Engineering
  • Engineering
  • Filters
  • Filtration
  • Frequency Domain
  • Functional Analysis
  • Information Science
  • Interpolation
  • Kalman Filtering
  • Kalman Filters
  • Mathematical Analysis
  • Mathematical Filters
  • Mathematics
  • Numerical Analysis
  • Signal Processing

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.
  • Graph Algorithms and Convex Optimization.