Title :
Asymptotic responses of floating point realizations of linear discrete systems
Author :
Bauer, P.H. ; Wang, Jie
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
Abstract :
The asymptotic behavior of nth-order difference equations implemented in floating-point format is analyzed. Sufficient conditions for two response types are derived and compared with the second-order case. Tight bounds on the asymptotic response are also presented. All conditions derived are simple functions of difference equation coefficients, the margin of stability of the linear system, and the chosen floating-point format
Keywords :
convergence of numerical methods; difference equations; digital arithmetic; digital filters; stability; asymptotic behavior; asymptotic responses; difference equation coefficients; error bounds; finite wordlength effects; floating point realizations; floating-point format; linear discrete systems; margin of stability; nth-order difference equations; Difference equations; Finite wordlength effects; Image analysis; Laboratories; Linear systems; Quantization; Signal analysis; Stability; Sufficient conditions; Time domain analysis;
Conference_Titel :
Circuits and Systems, 1992. ISCAS '92. Proceedings., 1992 IEEE International Symposium on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0593-0
DOI :
10.1109/ISCAS.1992.229970
