Title :
Two-dimensional system optimal realizations with L2-sensitivity minimization
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore
fDate :
3/1/1998 12:00:00 AM
Abstract :
An expression is derived for the error variance of transfer function of a two-dimensional (2-D) system. The optimal realization problem is then formulated by minimizing this variance with respect to all possible realizations of the system. This problem is shown to be equivalent to the minimization of a pure L2 norm based sensitivity measure. It is shown that the problem can be solved using any standard minimization algorithm
Keywords :
minimisation; multidimensional systems; roundoff errors; sensitivity analysis; signal processing; transfer functions; 2D system; L2 norm based sensitivity measure; L2-sensitivity minimization; error variance; finite wordlength effects; optimal realizations; standard minimization algorithm; transfer function; two-dimensional system; Computational complexity; Digital systems; Equations; Minimization methods; Transfer functions; Two dimensional displays;
Journal_Title :
Signal Processing, IEEE Transactions on