Filter banks on discrete Abelian Groups Articles uri icon

publication date

  • July 2018

issue

  • 4 (1850029)

volume

  • 16

International Standard Serial Number (ISSN)

  • 0219-6913

abstract

  • In this work, we provide polyphase, modulation, and frame theoretical analyses of a filter bank on a discrete abelian group. Thus, multi-dimensional or cyclic filter banks as well as filter banks for signals in l(2 )(Z(d) x Z(s)) or l(2) (Z(r) x Z(s)) spaces are studied in a unified way. We obtain perfect reconstruction conditions and the corresponding frame bounds in this particular context.

keywords

  • Discrete abelian groups; locally compact abelian (LCA) groups; frames; multi-dimensional filter banks; cyclic filter banks