Error analysis of FIR filters implemented using logarithmic arithmetic

Author

Chandra, D. V Satish

Author_Institution

Dept. of Electr. & Comput. Eng., Kansas State Univ., Manhattan, KS, USA

Volume

45

Issue

6

fYear

1998

fDate

6/1/1998 12:00:00 AM

Firstpage

744

Lastpage

747

Abstract

The principal factors influencing the design and implementation of most real-time digital filters are accuracy, speed, and ease of implementation. In this work, the effects of roundoff noise in finite-impulse response (FIR) digital filters implemented using a logarithmic number system are examined. Expressions for the ratio of output variance with roundoff errors to output variance without roundoff errors are derived. The noise performance of logarithmic FIR filters is compared to that of floating-point FIR filters. Simulation results are provided which confirm the theoretical results of error analysis

Keywords

FIR filters; digital arithmetic; digital filters; error analysis; roundoff errors; FIR filters; digital filters; error analysis; finite-impulse response; logarithmic arithmetic; logarithmic number system; noise performance; output variance; roundoff errors; roundoff noise; Computational modeling; Digital arithmetic; Digital filters; Digital signal processing; Dynamic range; Error analysis; Finite impulse response filter; Floating-point arithmetic; Roundoff errors; Signal processing algorithms;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.686694

Filename

686694