ALL EVENTS IN NATURE FEATURE UNSTEADY CHARACTERISTICS WHEN CONSIDERED OVER SUFFICIENTLY LARGE TEMPORAL OR SPATIAL SCALES. THUS NASA COMMITS SIGNIFICANT EFFORT AND RESOURCES TO COPE WITH NON-STATIONARY AND NON-LINEAR EFFECTS IN EARTH AND SPACE MISSIONS. THE ENSEMBLE DETECTION THEORY IS A TRANSFORMATIVE CROSS-CUTTING INFORMATION TECHNOLOGY THAT ADDRESSES MEASUREMENT AND DATA PROCESSING CHALLENGES FOR THESE NATURALLY OCCURRING RANDOM EVENTS. IT IS A NOISE ASSISTED DATA ANALYSIS TECHNIQUE WHEREBY ENSEMBLE SETS FOR RANDOM PROCESSES ARE PRODUCED BY MIXING THEIR REALIZATIONS WITH NOISE; AND THESE SETS ARE ADMISSIBLE TO STATISTICAL ANALYSES THAT ARE OTHERWISE NOT POSSIBLE TO IMPLEMENT WITH SINGLE REALIZATIONS. THIS STUDY PROPOSES THE MATHEMATICAL DEVELOPMENT OF THE ENSEMBLE DETECTION THEORY BUILDING A MATLAB BASED SOFTWARE TOOL CALLED "ENSEMBLE DETECTOR" TO IMPLEMENT IT UTILIZATION OF THE TOOL TO ANALYZE ATMOSPHERIC TEMPERATURE AND SPACE-BORNE DOPPLER MEASUREMENTS AND COMPARISON OF THIS NOVEL APPROACH WITH OTHER NON-STATIONARY SIGNAL ANALYSIS ALGORITHMS AVAILABLE IN LITERATURE. A ONE-YEAR PROGRAM IS PLANNED. IN THE FIRST FOUR (4) MONTHS THE MATHEMATICAL DESCRIPTION OF THE ENSEMBLE DETECTION THEORY WILL BE COMPLETED. THE NEXT TWO (2) MONTHS WILL WITNESS THE CREATION OF THE ENSEMBLE DETECTOR TOOL. ANALYSES OF ATMOSPHERIC TEMPERATURE AND DOPPLER MEASUREMENTS USING THE ENSEMBLE DETECTOR AND THE COMPARISON OF THE ENSEMBLE DETECTION WITH OTHER TECHNIQUES USED TO ANALYZE NON-STATIONARY SIGNALS WILL BE PERFORMED IN THE 2ND HALF OF THE YEAR.
$55,398FY2020National Aeronautics and Space AdministrationNASA
Research Foundation For The State University Of New York, The