Error analysis of FIR filters implemented with 1-digit 2-dimensional logarithmic number systems

Author

Zhang, Wenjing ; Jullien, Graham ; Dimitrov, Vassil

Author_Institution

Dept. of Electr. & Comput. Eng., Calgary Univ., Alta.

fYear

2005

fDate

7-10 Aug. 2005

Firstpage

1326

Abstract

Multi-dimensional logarithmic number system (MDLNS) is a recently developed number representation that is very efficient for implementing the inner product step processor (IPSP). The effects of data mapping and conversion in finite-impulse response (FIR) digital filters implemented with 1 digit 2-dimensional logarithmic number (2-DLNS) are examined. Expressions for the ratio of output variance with errors to output variance without errors are derived. The simulation results indicate that the experimental results are in good agreement with the theoretical results. It is shown that the FIR filters implemented using 2-DLNS result in lower error-to-signal variance than that implemented using LNS and FPNS as well as potential hardware reduction of the entire filter

Keywords

FIR filters; digital arithmetic; microprocessor chips; 1-digit 2D logarithmic number system; FIR filter; data conversion; data mapping; inner product step processor; multidimensional logarithmic number system; Arithmetic; Digital filters; Digital signal processing; Error analysis; Finite impulse response filter; Hardware; Laboratories; Potential well; Roentgenium; Table lookup;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2005. 48th Midwest Symposium on

Conference_Location

Covington, KY

Print_ISBN

0-7803-9197-7

Type

conf

DOI

10.1109/MWSCAS.2005.1594354

Filename

1594354