The realistic stochastic simulation of noise processes is important in a number of areas. These include aircraft and helicopter noise, electro-optical sensor (1/f) noise, atmospheric background noise for scanning systems, atmospheric turbulence for flight training simulation, ocean background noise for sonar systems, and seismic noise for the detection of underground explosions. Unfortunately, the most rigorous stochastic models are often characterized by spectra with certain irrational properties. Previously such spectra could only be approximated in the stochastic generation process. By the application of fractional (non-integer) derivatives in the time domain, improved difference equations may be obtained which will permit new noise generation techniques that are more efficient, flexible, and rigorous than their predecessors. Such techniques have the potential for simulating noise series with time-varying spectral properties.
Potential Commercial Applications: Realistic simulations of stochastic noise processes would be valuable design tools during product development and also useful aids for training operating personnel. Such simulations may also lead to advanced techniques for detecting target signals under low signal-to-noise conditions.STATUS: Phase I Only
