RECONSTRUCTION AND ENHANCEMENT OF SIGNALS USING NON-OSCILLATORY SHOCK/TURBULENCE CAPTURING ALGORITHMS

Award Information
Agency: Department of Defense
Branch: Defense Advanced Research Projects Agency
Contract: N/A
Agency Tracking Number: 9553
Amount: $250,000.00
Phase: Phase II
Program: SBIR
Awards Year: 1990
Solicitation Year: N/A
Solicitation Topic Code: N/A
Solicitation Number: N/A
Small Business Information
Cognitech Inc.
2020 Broadway Ste 201, Santa Monica, CA, 90404
DUNS: N/A
HUBZone Owned: N
Woman Owned: N
Socially and Economically Disadvantaged: N
Principal Investigator
 Dr Leonid Rudin
 (213) 451-9959
Business Contact
Phone: () -
Research Institution
N/A
Abstract
THE CONCEPTS AND TECHNIQUES DEVELOPED IN THE NUMERICAL SOLUTION OF HYPERBOLIC CONSERVATION LAWS E.G. IN COMPRESSIBLE GAS DYNAMICS HAVE RECENTLY BEEN FOUND BY THIS COMPANY TO BE EXTREMELY RELEVANT TO THE PROBLEM OF RECONSTRUCTION AND ENHANCEMENT OF SIGNALS (INCLUDING IMAGES AND ACOUSTIC SIGNALS). BOTH SUBJECTS DEAL WITH THE DISCRETE REPRESENTATION OF DISCONTINUOUS FUNCTIONS. THE RELEVANT CONCEPTS INCLUDE VARIATION DIMINISHING OR ESSENTIALLY NON-OSCILLATORY (ENO) APPROXIMATIONS, THE NEED FOR NONLINEAR APPROXIMATIONS TO LINEAR PROBLEMS, AND COMPRESSIVE METHODS. A BREAKTHROUGH METHOD FOR PROBLEMS INVOLVING SHOCK-TURBULENCE INTERACTION, WHERE BOTH DISCONTINUITIES AND DETAILED FINE STRUCTURES ARE FOUND, INVOLVES USING HIGH ORDER ENO SCHEMES (1). THESE TECHNIQUES SHALL BE SUITABLY MODIFIED AND APPLIED TO THE COMPUTER RECONSTRUCTION AND ENHANCEMENT OF SIGNALS. THESE METHODS ARE LOCAL, NONLINEAR, AND INVOLVE THE DISCRETIZATION OF NEW, NONLINEAR, TIME DEPENDENT, PARTIAL DIFFERENTIAL EQUATIONS. THEY ARE "RINGING" FREE -SUPPRESSING SPUROUS "GHOSTS" (OSCILLATIONS) AND ARE CAPABLE OF REMOVING LARGE NOISE TO SIGNAL TO RATIOS, BLURRING TO SIGNAL RATIOS, AND CAN RESOLVE MULTIPLE SCALES. THEY ARE ALSO PERFECTLY SUITED FOR PARALLEL COMPUTERS.

* information listed above is at the time of submission.

Agency Micro-sites

SBA logo
Department of Agriculture logo
Department of Commerce logo
Department of Defense logo
Department of Education logo
Department of Energy logo
Department of Health and Human Services logo
Department of Homeland Security logo
Department of Transportation logo
Environmental Protection Agency logo
National Aeronautics and Space Administration logo
National Science Foundation logo
US Flag An Official Website of the United States Government