  The lifting scheme of discrete wavelet transform (DWT) is now quite well
established as an efficient technique for image compression, and has been
incorporated into the JPEG2000 standards. However, the potential of the lifting
scheme has not been exploited in the context of correlationbased processing,
such as encountered in radar applications. This paper presents a complete and
consistent framework for the application of DWT for correlation of complex
signals. In particular, lifting scheme factorization of biorthogonal
filterbanks is carried out in dual analysis basis spaces for multiresolution
correlation of complex radar signals in the DWT domain only. A causal
formulation of lifting for orthogonal filterbank is also developed. The
resulting parallel algorithms and consequent saving of computational effort are
briefly dealt with.
