Lapped transforms

Abstract

In this chapter, an effort will be made to cover the basic aspects of lapped transforms. It is a subject that has been extensively studied, making available a large number of papers and books. This is mostly true because of the direct correspondence among lapped transforms, filter banks, wavelets, and time-frequency transformations. Some of those topics are well covered in other chapters in this handbook. In any case it will be certainly impractical to reference all the contributions in the field. Therefore, the presentation will be more focused rather than general. We refer the reader to chapters on wavelet and time-frequency transforms in this handbook, as well as Refs. [20,44,50,53] for a more detailed treatment of filter banks.