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THE APPLICATION OF FRACTIONAL CALCULUS TO NOISE SIMULATION

Award Information

Agency:
National Aeronautics and Space Administration
Branch:
N/A
Award ID:
11974
Program Year/Program:
1990 / SBIR
Agency Tracking Number:
11974
Solicitation Year:
N/A
Solicitation Topic Code:
N/A
Solicitation Number:
N/A
Small Business Information
Engineering Analysis Inc
3214 Greenwood Cir Ames, IA 50014
View profile »
Woman-Owned: No
Minority-Owned: No
HUBZone-Owned: No
 
Phase 1
Fiscal Year: 1990
Title: THE APPLICATION OF FRACTIONAL CALCULUS TO NOISE SIMULATION
Agency: NASA
Contract: N/A
Award Amount: $49,774.00
 

Abstract:

THE REALISTIC STOCHASTIC SIMULATION OF NOISE PROCESSES IS IMPORTANT IN A NUMBER OF AREAS INCLUDING (1) AIRCRAFT AND HELICOPTER NOISE, (2) ELECTRO-OPTICAL SENSOR (1/F) NOISE, (3) ATMOSPHERIC BACKGROUND NOISE FOR SCANNING SYSTEMS, (4) ATMOSPHERIC TURBULENCE FOR FLIGHT TRAINING SIMULATION, (5) OCEAN BACKGROUND NOISE FOR SONAR SYSTEMS, AND (6) SEISMIC NOISE FOR THE DETECTION OF UNDERGROUND EXPLOSIONS. UNFORTUNATELY, THE MOST RIGOROUS STOCHASTIC MODELS ARE OFTENCHARACTERIZED BY SPECTRA WITH CERTAIN IRRATIONAL PROPERTIES. PREVIOUSLY SUCH SPECTRA COULD ONLY BE APPROXIMATED IN THE STOCHASTIC GENERATION PROCESS. BY THE APPLICATION OF FRACTIONAL (NONINTEGER) DERIVATIVES IN THE TIME DOMAIN, IMPROVED DIFFERENCE EQUATIONS MAY BE OBTAINED WHICH WILL PERMIT NEW NOISE GENERATION TECHNIQUES WHICH ARE MORE EFFICIENT, MORE FLEXIBLE AND MORE RIGOROUS THAN THEIR PREDECESSORS. SUCH TECHNIQUES HAVE THE POTENTIAL FOR SIMULATING NOISE SERIES WITH TIME-VARYING SPECTRAL PROPERTIES.

Principal Investigator:

Frank B. Tatom
Chief Engineer
2055339391

Business Contact:

Frank b. tatom
PRESIDENT
2055339391
Small Business Information at Submission:

Engineering Analysis, Inc.
715 Arcadia Circle Huntsville, AL 35801

EIN/Tax ID:
DUNS: N/A
Number of Employees: N/A
Woman-Owned: No
Minority-Owned: No
HUBZone-Owned: No