Filtering approach based on generalized oblique projection operators under different contaminating noises

Conventional oblique projection (COP) filter concentrates on white background noise, whereas the colored noise often shows in real circumstances. Through extending the concept of COP, a generalized oblique projection (GOP) operator is defined and a minimized interference constrained generalized oblique projection (MIGOP) filter technique which can be used in both white and colored noise scenarios is proposed. The filtering operator under different contaminating noises is unified and the relationship between the proposed MIGOP filter and some other kind of oblique projection filtering approaches is also researched. The theoretical analysis is verified by numerical simulations and the effectiveness of the proposed GOP filters is proved in both white and colored noise backgrounds.