Title :
Two-dimensional delta-operator formulated discrete-time systems: analysis and synthesis of minimum roundoff noise realizations
Author :
Ekanayake, Mahes M. ; Premaratne, Kamal
Author_Institution :
Dept. of Electr. & Comput. Eng., Miami Univ., FL, USA
Abstract :
The roundoff noise performance of a δ-operator formulated 2-D state space digital filter is investigated. Synthesis procedures are developed and it is shown that unlike in the q-operator case, the optimum realizations are different for single-length accumulator and double-length accumulator based filters. A method is presented to find the sampling times so that the probability of overflow of the state derivatives is less than that of the state variables. A numerical example is presented to compare different schemes
Keywords :
discrete time filters; mathematical operators; roundoff errors; state-space methods; two-dimensional digital filters; 2D state space digital filter; discrete-time system; double-length accumulator; overflow probability; roundoff noise; sampling time; single-length accumulator; two-dimensional delta-operator; Digital filters; Discrete time systems; Eigenvalues and eigenfunctions; Fixed-point arithmetic; Performance analysis; Quantization; Sampling methods; State-space methods; Two dimensional displays; Vectors;
Conference_Titel :
Circuits and Systems, 1996. ISCAS '96., Connecting the World., 1996 IEEE International Symposium on
Conference_Location :
Atlanta, GA
Print_ISBN :
0-7803-3073-0
DOI :
10.1109/ISCAS.1996.540390
