Title :
Avoiding nonzero equilibria in delta operator implemented systems
Author :
Ralev, Kamen ; Bayer, P.
Author_Institution :
Lab. of Image & Signal Anal., Notre Dame Univ., IN, USA
Abstract :
The finite wordlength effects in delta-operator formulated systems are analyzed and conditions for absence of nonzero equilibria in zero-input systems are provided. Also discussed are the options for their elimination. Considered are fixed, floating point as well as block floating point arithmetic with different quantization formats. It is shown that the problem is most likely to occur in fixed point systems. Although the problem is solvable within the fixed point arithmetic, block-floating point is a good alternative
Keywords :
digital arithmetic; floating point arithmetic; mathematical operators; block floating point arithmetic; delta operator; finite wordlength effects; fixed point arithmetic; floating point arithmetic; nonzero equilibria; quantization; zero-input system; Continuous time systems; Finite wordlength effects; Fixed-point arithmetic; Image analysis; Laboratories; Linear systems; Quantization; Sampling methods; Signal analysis; Vectors;
Conference_Titel :
Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
Print_ISBN :
0-7803-3583-X
DOI :
10.1109/ISCAS.1997.612799
