Signal Processing in the Linear Statistical Model

Abstract

This research program has produced the following results: (1) a method of estimating power spectra using multiple orthogonal time-division windows; (2) an exact likelihood procedure for estimating frequencies and arrival angles for propagating plane waves that are detected by multisensor arrays; (3) a theory of oblique projections for solving estimation problems; (4) a method for designing matched subspace detectors for detecting subspace signals in subspace interference; (5) a method for designing data-adaptive and reduced- rank estimators for solving least squares problems; and (6) a method for bounding the probability of a subspace swap in SVD methods. Work is continuing on (1) general quadratic performance bounds for estimation; (2) complex exponential frames for modeling discrete-time sequences; (3) discrete wavelet frames and fitter banks; (4) projection operator decomposition of L2; and (5) representation and synthesis of periodically correlated time series using subband decompositions.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 20, 1993
Accession Number
ADA272114

Entities

People

  • Clifford T. Mullis
  • Louis L. Scharf

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Colorado
  • Computers
  • Contracts
  • Decomposition
  • Detectors
  • Engineering
  • Frequency
  • Linear Algebra
  • Mathematics
  • Military Research
  • Minority Groups
  • Power Spectra
  • Probability
  • Professional Associations
  • Sequences
  • Signal Processing
  • Spectra

Fields of Study

  • Engineering

Readers

  • Computer Vision.
  • Linear Algebra
  • Statistical inference.