MALVAR WAVELETS WITH ASYMMETRICALLY OVERLAPPED WINDOWS

Malvar wavelets (or lapped orthogonal transforms) with symmetric overl aps have been recently studied extensively. In this correspondence, we consider Malvar wavelets with asymmetric overlaps in both continuous- time and discrete-time cases. We present conditions on window function s in continuous-time case so that Malvar wavelets can be constructed f rom different local bases. However, in discrete-time cases, we show th at Malvar wavelets are impossible unless the overlaps are symmetric. N umerical examples are presented to illustrate the theory.