Rank-deficient spectral factorization and wavelets completion problem
Lasha Ephremidze, Ilya M. Spitkovsky, Edem Lagvilava · International Journal of Wavelets Multiresolution and Information Processing · 2015
A simple constructive proof of polynomial matrix spectral factorization theorem is presented in the rank-deficient case. It is then used to provide an elementary solution to the wavelets completion problem.