Studies in Statistical Signal Processing

Abstract

The primary objective of our research is to develop efficient and numerically stable algorithms for nonstationary signal processing problems by understanding and exploiting special structures, both deterministic and stochastic, in the problems. We also strive to establish and broaden links with related disciplines, such as cascades filter synthesis, scattering theory, numerical linear algebra, and mathematical operatory theory for the purpose of cross fertilization of ideas and techniques. These explorations have led to new results both in estimation theory and in these other fields, e.g., to new algorithms for triangular and QR factorization of structured matrices, new techniques for root location and stability testing, and new recursions for orthogonal polynomials on the unit circle and the real line as well as on other curves.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1989
Accession Number
ADA214490

Entities

People

  • Thomas Kailath

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Complex Variables
  • Electrical Engineering
  • Information Processing
  • Information Systems
  • Linear Algebra
  • Mathematics
  • Network Science
  • Polynomials
  • Power Series
  • Scientific Research
  • Sequences
  • Signal Processing
  • Square Roots
  • Transmission Lines
  • Universities

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Linear Algebra
  • Systems Analysis and Design