Efficient implementations of pipelined CORDIC based IIR digital filters using fast orthonormal μ-rotations

Jun Ma, Keshab K Parhi, Gerben J. Hekstra, Ed F. Deprettere

Research output: Contribution to journalArticle

7 Scopus citations


In this correspondence, an efficient implementation of pipelined coordinate rotation digital computer (CORDIC)-based IIR digital filters based on fast orthonormal μ-rotations is proposed. Using this method, the Givens rotations are approximated by angles corresponding to orthonormal μ rotations, which are based on the idea of CORDIC and can perform rotation with minimal number of shift-add operations. We present various methods of construction for such orthonormal μ rotations. A significant reduction (over 70%) of the number of required shift-add operations is achieved. All types of fast rotations can be implemented as a cascade of only four basic types of shift-add stages. These stages can be executed on a modified floating-point CORDIC architecture, making the pipelined filter highly suitable for VLSI implementations.

Original languageEnglish (US)
Pages (from-to)2712-2716
Number of pages5
JournalIEEE Transactions on Signal Processing
Issue number9
StatePublished - Sep 1 2000



  • IIR digital filters
  • Jacobian matrices
  • Orthogonal transforms
  • Pipelining processing

Cite this