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

Author

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

Author_Institution

Dept. of Electr. & Comput. Eng., Minnesota Univ., Minneapolis, MN, USA

Volume

48

Issue

9

fYear

2000

fDate

9/1/2000 12:00:00 AM

Firstpage

2712

Lastpage

2716

Abstract

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

Keywords

IIR filters; VLSI; cascade networks; digital filters; floating point arithmetic; pipeline processing; signal processing; CORDIC; Givens rotations; IIR digital filters; VLSI implementation; efficient implementation; fast orthonormal μ-rotations; floating-point CORDIC architecture; pipelined coordinate rotation digital computer; pipelined filter; shift-add operations; Band pass filters; Computer architecture; Digital filters; IIR filters; Jacobian matrices; Laboratories; Nonlinear filters; Pipeline processing; Transfer functions; Very large scale integration;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.863093

Filename

863093