Power-efficient and cost-effective 2-D symmetry filter architectures

Pei Yu Chen*, Lan-Da Van, I. Hung Khoo, Hari C. Reddy, Chin Teng Lin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


This paper presents two-dimensional (2-D) VLSI digital filter structures possessing various symmetries in the filter magnitude response. For this purpose, four Type-1 and four Type-2 power-efficient and cost-effective 2-D magnitude symmetry filter architectures possessing diagonal, fourfold rotational, quadrantal, and octagonal symmetries with reduced number of multipliers and one power-efficient and cost-effective multimode 2-D symmetry filter are given. By combining the identities of the four Type-1 symmetry filter structures, the proposed multimode 2-D symmetry filter is capable of providing four different operation modes: diagonal symmetry mode (DSM), fourfold rotational symmetry mode (FRSM), quadrantal symmetry mode (QSM), and octagonal symmetry mode (OSM). The proposed diagonal, fourfold rotational, quadrantal, and octagonal symmetry filter structures can attain power savings of 16.77%, 36.30%, 22.90%, and 37.73% with respect to that of the conventional 2-D filter design without symmetry. On the other hand, the proposed DSM, FRSM, QSM, and OSM modes can reduce power consumption by 11.01%, 31.42%, 17.53%, and 35.26% compared with that of the conventional 2-D filter design. The proposed multimode filter can result in a 63.25% area reduction compared with the sum of the areas of the four individual Type-1 symmetry filter structures.

Original languageEnglish
Article number5549959
Pages (from-to)112-125
Number of pages14
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Issue number1
StatePublished - 2011


  • 2-D filter
  • Cost effective
  • multimode
  • power efficient
  • symmetry filter


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