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

Award Information
Agency:
Department of Defense
Branch
Defense Advanced Research Projects Agency
Amount:
$250,000.00
Award Year:
1990
Program:
SBIR
Phase:
Phase II
Contract:
n/a
Award Id:
9553
Agency Tracking Number:
9553
Solicitation Year:
n/a
Solicitation Topic Code:
n/a
Solicitation Number:
n/a
Small Business Information
2020 Broadway Ste 201, Santa Monica, CA, 90404
Hubzone Owned:
N
Minority Owned:
N
Woman Owned:
N
Duns:
n/a
Principal Investigator:
Dr Leonid Rudin
(213) 451-9959
Business Contact:
() -
Research Institute:
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

Enviromental Protection Agency logo

National Aeronautics and Space Administration logo

National Science Foundation logo
US Flag An Official Website of the United States Government