Title
Determining appropriate precisions for signals in fixed-point IIR filters
Abstract
This paper presents an analytical framework for the implementation of digital infinite impulse response filters in fixed-point hardware on field programmable gate arrays. This analysis is necessary because FPGAs, unlike fixed register size digital signal processors, allow custom bit widths. Within the framework, the designer determines the number of bits necessary for representing the constant coefficients and the internal signals in the filter. The coefficient bit widths are determined by accounting for the sensitivity of the filter's pole and zero locations with respect to the coefficient perturbations. The internal signal bit widths are determined by calculating theoretical bounds on the ranges of the signals, and on the errors introduced by truncation in the fixed-point hardware. The bounds tell how many bits are required at any point in the computation in order to avoid overflow and guarantee a prescribed degree of accuracy in the filter output. The bounds form the basis for a methodology for the fixed-point digital filter implementation. The methodology is applied to the implementation of a second-order filter used as a compensator in a magnetic bearing control system.
Year
DOI
Venue
2003
10.1145/775832.775998
DAC
Keywords
Field
DocType
filter output,analytical framework,fixed-point iir filter,digital infinite impulse response,appropriate precision,coefficient bit width,internal signal bit width,custom bit width,fixed-point hardware,coefficient perturbation,digital signal processor,fixed-point digital filter implementation,digital signal processors,iir filter,design methodology,poles and zeros,digital filters,second order,infinite impulse response,field programmable gate array,digital filter,hardware,signal analysis,control system,infinite impulse response filter,registers,field programmable gate arrays,fixed point,filter design,constant coefficient
Signal processing,Digital filter,Root-raised-cosine filter,Pole–zero plot,Control theory,Digital signal processor,Computer science,Infinite impulse response,Electronic engineering,Adaptive filter,Fixed point
Conference
ISSN
ISBN
Citations 
0738-100X
1-58113-688-9
18
PageRank 
References 
Authors
1.03
3
4
Name
Order
Citations
PageRank
Joan Carletta17311.85
R. J. Veillette2468.40
Frederick Krach3181.03
Zhengwei Fang4262.72