THE APPLICATION OF FRACTIONAL CALCULUS TO NOISE SIMULATION

Award Information
Agency:
National Aeronautics and Space Administration
Branch
n/a
Amount:
$49,774.00
Award Year:
1990
Program:
SBIR
Phase:
Phase I
Contract:
n/a
Award Id:
11974
Agency Tracking Number:
11974
Solicitation Year:
n/a
Solicitation Topic Code:
n/a
Solicitation Number:
n/a
Small Business Information
715 Arcadia Circle, Huntsville, AL, 35801
Hubzone Owned:
N
Minority Owned:
N
Woman Owned:
N
Duns:
n/a
Principal Investigator:
Frank B. Tatom
Chief Engineer
(205) 533-9391
Business Contact:
FRANK B. TATOM
PRESIDENT
(205) 533-9391
Research Institute:
n/a
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.

* information listed above is at the time of submission.

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