Title :
A circuit theory of computations
Author_Institution :
Delft Univ. of Technol., Netherlands
Abstract :
An attempt is made to develop a stable and numerically robust calculus for matrices and operators, with reduced or minimal complexity. The author starts by developing a time-varying calculus, where instantaneous operations are characterized and a generalization of the z-transform to express divisibility and rational calculus is found. Next, the author defines scattering operators and orthogonal filters, and develops a method of approximations leading to optimal filter synthesis and linking the two previous items
Keywords :
calculus; circuit theory; filtering and prediction theory; matrix algebra; approximations; circuit theory; matrices; minimal complexity; numerically robust calculus; operators; optimal filter synthesis; orthogonal filters; scattering operators; time-varying calculus; z-transform; Calculus; Circuit theory; Computational modeling; Embedded computing; Filtering theory; Filters; Propagation losses; Robustness; Scattering; Transfer functions;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176291
