Title :
On the frequency dependent Lyapunov equation
Author :
Sendaula, Musoke
fDate :
4/1/1986 12:00:00 AM
Abstract :
A frequency dependent Lyapunov equation was recently used in the stability analysis of two-dimensional (2-D) digital systems, but no general solution was developed. In this paper a general form of the frequency dependent Lyapunov matrix is proposed and a set of equations which completely characterize the solution are derived. Applications of the results to the evaluation of quantization error in 2-D filters is also outlined.
Keywords :
Digital filter wordlength effects; Lyapunov matrix equations; Multidimensional digital filters; Digital systems; Filters; Frequency dependence; Integral equations; Nonlinear equations; Polynomials; Quantization; Stability analysis; Stability criteria; Two dimensional displays;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1986.1085929
