This paper addresses the issue of optimal design of transform and multirate coders, when the compressed data are to be used for classiication purposes. We propose to use Chernoo bounds on the probability of misclassiication as the criterion for designing the coder. The performance of optimized transform and multirate coders is compared. The theory is illustrated with a texture classiication exa...

Direct digital design of general multirate sampled-data systems is considered. To tackle causality constraints, a new and natural framework is proposed using nest operators and nest algebras. Based on this framework explicit solutions to the H1 and H2 multirate control problems are developed in the frequency domain.

For a general multirate sampled-data (SD) system, the authors characterize explicitly the set of all causal, stabilizing controllers that achieve a certain H1 norm bound; moreover, they give explicitly a particular controller that further minimizes an entropy function for the SD system. The characterization lays the groundwork for synthesizing multirate control systems with multiple/mixed contr...

Linear periodically time-varying (LPTV) systems are abundant in control and signal processing; examples include multirate sampled-data control systems and multirate lter-bank systems. In this paper, several ways are proposed to quantify aliasing eeect in discrete-time LPTV systems; these are associated with optimal time-invariant approximations of LPTV systems using operator norms.

Abstract: Transient analysis is an important circuit simulation technique. The circuit model, which is a system of differential-algebraic equations, is solved for a given initial condition using numerical time integration techniques. Multirate methods are efficient if the dynamical behaviour of the circuit model is not uniform. This paper deals with the analysis and control of the discretizatio...

A procedure is developed to design IIR synthesis lters in a multirate lter bank. The lters minimize thè 2-induced norm of the error system between the multirate lter bank and a desired pure time-delay system. This criterion is reduced to one of H 1 optimization, for which there is ready-made software.

For a general multirate SD (sampled-data) system, we characterize explicitly the set of all causal, stabilizing controllers that achieve a certain H 1 norm bound; moreover, we give explicitly a particular controller that further minimizes an entropy function for the SD system. The characterization lays the groundwork for synthesizing multirate control systems with multiple/mixed control speciic...

Direct digital design of general multirate sampled-data systems is considered. To tackle causality constraints, a new and natural framework is proposed using nest operators and nest algebras. Based on this framework explicit solutions to the H 1 and H 2 multirate control problems are developed in the frequency domain.

Remarkable improvements in the stability properties of discrete system zeros may be achieved by using a new design of the fractional-order hold (FROH) circuit. This paper first analyzes asymptotic behaviors of the limiting zeros, as the sampling period T tends to zero, of the sampled-data models on the basis of the normal form representation for continuous-time systems with a new hold proposed....