The ASPECT group is engaged in research on adaptive signal processing and parameter estimation for emerging wireless communication applications which include, among others, cellular, personal communication services (PCS) and wireless local loop. Significant increase in capacity, quality and coverage are possible via the use of high performance adaptive signal processing techniques for the mitigation of various types of interference present in most wireless systems. The focus of our research is to develop novel specialized adaptive signal processing algorithms that are powerful and yet computationally efficient for these applications. One signal processing framework that the group has focused on is the paradigm of set-membership filtering (SMF) which lends itself naturally to adaptive implementations with numerous desirable properties such as faster convergence, superior tracking capability and low complexity. These features make them attractive alternatives for interference suppression in wireless communication systems.