M -Channel Paraunitary Multirate Filter Bank Factorisation over Fields of Characteristic Two
نویسندگان
چکیده
It has been proposed that all M -channel paraunitary (PU) multirate filter banks over GF(2) can be described using the product of basic lattice blocks. In this paper this conjecture is proven by considering a redefinition of degree-0 lattice blocks. A factorisation algorithm that factors all degree-J PU filter banks over GF(2) is presented. In the course of this work M -channel type-I matrices are studied in detail. Index Terms Multirate Filter Banks, Paraunitary, Finite Field, M -Channel, Paraunitary Factorisation This work was supported by IRCSET through the Embark Initiative under grant number RS/2002/240-4. M. Sala has been partially supported by STMicroelectronics contract “Complexity issues in algebraic Coding Theory and Crytography”. C. Lucey and C. Murphy are with the Department of Electrical and Electronic Engineering, University College Cork, Ireland (email: [email protected] and [email protected].). M. Sala is with the Boole Centre for Research in Informatics, University College Cork, Ireland. December 19, 2006 DRAFT
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