DocumentCode :
933978
Title :
Improved Interval-Based Characterization of Fixed-Point LTI Systems With Feedback Loops
Author :
López, Juan A. ; Carreras, Carlos ; Nieto-Taladriz, Octavio
Author_Institution :
Univ. Polytech. de Madrid, Madrid
Volume :
26
Issue :
11
fYear :
2007
Firstpage :
1923
Lastpage :
1933
Abstract :
Traditional approaches for fixed-point characterization are based on long simulations or additive noise models that do not show the nonlinear behavior of the quantization operations in reasonable time. In this paper, a novel interval-based approach that provides both tighter and faster results than the existing approaches is presented. It is based on a nonlinear adaptation of the quantization operations of affine arithmetic (AA). The results obtained with this method are compared to other published interval-based approaches, and the problem of interval oversizing is discussed in detail. Simulations show that: 1) the propagation techniques are not well suited to characterize the quantized linear systems with feedback loops; 2) the AA provides oversized bounds in this type of systems; and 3) the proposed adaptation does not provide guaranteed bounds as in the traditional interval-based computations, but it provides tighter estimates of the evolution in time of the ranges of the fixed-point signals and better runtime than the existing interval-based characterization techniques.
Keywords :
feedback; noise; quantisation (signal); additive noise models; affine arithmetic; feedback loops; fixed-point signals; interval-based characterization; linear time-invariant systems; propagation techniques; quantization operations; Additive noise; Computational modeling; Design automation; Digital arithmetic; Digital filters; Digital signal processing; Feedback loop; Linear systems; Quantization; Runtime; Affine arithmetic (AA); design automation; digital filter word-length effects; interval arithmetic (IA); linear systems;
fLanguage :
English
Journal_Title :
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0278-0070
Type :
jour
DOI :
10.1109/TCAD.2007.896306
Filename :
4352008
Link To Document :
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