Title: Nonstationary Extensions to Spectral Separation Coefficients
Project ID: Nc0Bz13
Domain(s): Aerospace, Multidisciplinary
The spectral separation coefficient is widely used in the Satnav performance analysis in the presence of interference such as jamming. Analytical results generally assume stationary or cyclostationary signals so that Fourier analysis is meaningful. However, in practice, such disturbance may be nonstationary and time varying. We will develop analytical techniques, analogous to short-time Fourier transforms, spectrograms, and wavelet analysis that will allow us to define a time-varying spectral separation coefficient, and to produce tractable analytical results on jamming system performance when the disturbance varies over time. Finally, we would compare the theory to lab tests of our own.
Deep understanding of probability and linear algebra, and can grasp functional analysis, the continuous time abstraction of linear algebra, where the vectors in a vector space are functions. Understanding of Fourier analysis and the trade-off between time resolution and frequency resolution along with stochastic processes would also be helpful.
US Citizenship Required: Yes
Active Clearance or Background Investigation Required: No
Level Needed: N/A
Targeted Students: Graduate, Undergraduate
Team Size: 1
Focus on Particular University: No
Focus Timeline: No
Potential Funding: No
Note: Availability of funds not guaranteed