A geometric approach to a non stationary process
Benabdellah Yagoubi · 2011
In this work, we consider a non stationary random process as a geometric space with a variable curvature. The latter can be, obviously, locally constant leading to a constant local metric tensor or equivalently, a constant auto-correlation for the same interval and hence a local stationary behaviour. As an application to clarify this point view, we have, therefore, used this local curvature approximation for modeling or compressing the image of V2O5/TeO2 amorphous thin film structure with a Gaussian stationary ergodic random process.