Application Specific Efficient VLSI Architectures for Orthogonal Single- and Multiwavelet Transforms

Authors:
Peter Rieder;Sven Simon;Christian V. Schimpfle
Affiliations:
Institute for Network Theory and Circuit Design, Munich University of Technology, Arcisstr. 21, D-80290 Munich, Germany;Siemens AG, Balanstr. 73, 81541 Munich, Germany;Institute for Network Theory and Circuit Design, Munich University of Technology, Arcisstr. 21, D-80290 Munich, Germany
Venue:
Journal of VLSI Signal Processing Systems
Year:
1999

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Abstract

In this paper, efficient VLSI architectures for orthogonalwavelet transforms with respect to common applications arepresented. One class of orthogonal wavelet transforms is thesinglewavelet transform which is based on one scaling and one waveletfunction. An important application of this transform is signaldenoising for which an efficient VLSI implementation and layout isderived in this paper. Contrary to singlewavelets, orthogonalmultiwavelets are based on several scaling and wavelet functions.Since they allow properties like compact support, regularity,orthogonality and symmetry, simultaneously, being impossible in thesinglewavelet case, multiwavelets are well suited bases for imagecompression applications. With respect to an efficientimplementation of these orthogonal wavelet transforms, approximationsof the exact rotation angles of the corresponding wavelet latticefilters are used. The approximations are realized by elementaryCORDIC rotations. This method reduces the number of shift and addoperations significantly with no influence on the good performance ofthe transforms. VLSI architectures for the computationally cheaptransforms and related implementation aspects are discussed anddesign examples from architectural level down to layout are given.