2006/07/01 by Chinmoy Bhattacharya, Bhattacharya, Chinmoy, P.R. Mahapatra +1
Computer Science · Engineering · #Computational Complexity (cs.CC) #Digital Filter Design and Implementation #Distributed #FOS: Computer and information sciences #Image and Signal Denoising Methods #Parallel #Radar Systems and Signal Processing #and Cluster Computing (cs.DC)
paper · pdf · doi:10.48550/arxiv.cs/0607001
openalex publication_date 2006/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.