INVESTIGATION OF HYPERDISTRIBUTIONS FOR SIGNAL COMPRESSION

Award Information
Agency:
Department of Defense
Branch
Air Force
Amount:
$422,000.00
Award Year:
1991
Program:
SBIR
Phase:
Phase II
Contract:
n/a
Agency Tracking Number:
12676
Solicitation Year:
n/a
Solicitation Topic Code:
n/a
Solicitation Number:
n/a
Small Business Information
Massachusetts Technology Labor
312 Austin St, West Newton, MA, 02165
Hubzone Owned:
N
Socially and Economically Disadvantaged:
N
Woman Owned:
N
Duns:
n/a
Principal Investigator:
Ta-ming Fang
(617) 965-3992
Business Contact:
() -
Research Institution:
n/a
Abstract
WE DEVELOP HERE A TECHNIQUE FOR SIGNAL COMPRESSION/DECOMPRESSION BASED ON NEW ADVANCES IN THE THEORY OF GENERALIZED FUNCTIONS. WE TERM THESE NEW MATHEMATICAL OBJECTS "GENERALIZED DISTRIBUTIONS" OR "HYPERDISTRIBUTION"/ WE PROPOSE TO DETERMINE THE COMPRESSION RATIOS WHICH MAY BE OBTAINED BY REPRESENTING IMAGE DATA IN TERMS OF A TRUNCATED HYPERDISTRIBUTION SERIES, RATHER THAN THE ORIGINAL COLLECTION OF PIXEL INTENSITIES. HYPERDISTRIBUTIONS EXHIBIT INTERESTING MATHEMATICAL PROPERTIES UNDER CONVOLUTION OPERATIONS, AND SO THE POSSIBILITY EXISTS THAT IMAGE PROCESSING OPERATIONS CAN BE COMBINED WITH SIGNAL COMPRESSION/DECOMPRESSSION, AND IN PARTICULARLY THAT PARTICULAR CLASSES OF IMAGE PROCESSING OPERATIONS MAY BE CARRIED OUT ON COMPRESSED DATA SETS, WITH CORRESPONDING GAINS IN PROCESSING TIME.

* information listed above is at the time of submission.

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