Design of Filter Banks/Wavelets Using TROV: A Survey

The design problem of multirate filter banks can be divided into two parts. The first part involves the issue of reconstruction error of the signal which consists of three components - aliasing, magnitude, and phase. The second part of the design problem involves the issue of designing good-quality subband filters. There has been a lot of research addressing the first part but there are relatively few good and simple design techniques for the second part. There is a class of techniques which we will refer to as TROV (TRansformation Of Variables) which satisfactorily addresses the two parts of the design problem. Techniques which fall under this class include the McClellan Transformation, Generalized Transformation of Variables, and Frequency Rotation. A survey of the design techniques proposed by different authors in the literature which falls under this class is presented here. First, the similarity and differences of the approaches adopted by different authors is studied. Second, it is shown that the different approaches can be unified. An extension to the design technique is presented which will enhance its flexibility and effectiveness. © 1997 Academic Press.