Stationary random processes forming frames and basis: Some applications
Juan Miguel Medina, Bruno Cernuschi-Frías · 2009 IEEE/SP 15th Workshop on Statistical Signal Processing · 2009
We will give necessary and sufficient conditions for {Xkn}kisinZopfn=1...Nthe samples taken at uniform rate from a w.s.s. processes (or of an ldquoobservedrdquo process) to form a frame or a Riesz basis of its span. In some way this is an analogue problem to that of finding conditions for frames of a shift invariant subspace of L2(Ropf) with a finite number of generators. We will give also related results and applications.