Title :
A generalized on the study synthesis of 2-D state-space digital filters with minimum roundoff noise
Author :
Hinamoto, Takao ; Hamanaka, Takashi ; Maekawa, Sadao
Author_Institution :
Dept. of Syst. Eng., Kobe Univ., Japan
fDate :
8/1/1988 12:00:00 AM
Abstract :
The Fornasini-Marchesini local state-space (LSS) model is used as the basis for a novel expression for the output-noise variance due to roundoff together with an I2 scaling on the state variables. An optimal Fornasini-Marchesii LSS model structure is then synthesized that minimizes the output noise due to roundoff, subject to an l2 scaling constraint. The synthesis utilizes a 2-D similarity transformation matrix that is not block-diagonal, but general. This requires solving only one optimization problem. Some constraints imposed on the Fornasini-Marchesini LSS model and the 2-D similarity transformation yield the results obtained with the Roesser LSS model. The proposed synthesis theory is therefore quite general and simple. An example is given to illustrate its utility
Keywords :
filtering and prediction theory; network synthesis; optimisation; roundoff errors; state-space methods; two-dimensional digital filters; Fornasini-Marchesii LSS model; l2 scaling constraint; local state space model; minimum roundoff noise; optimal structure synthesis; optimization problem; output-noise variance; similarity transformation matrix; state variables; state-space digital filters; synthesis theory; two dimensional filters; Band pass filters; Circuit noise; Circuit synthesis; Circuits and systems; Digital filters; Lakes; Signal synthesis; Switched capacitor circuits; Switching circuits; Transfer functions;
Journal_Title :
Circuits and Systems, IEEE Transactions on
