Multivariable controller design for the regulation of mean arterial pressure (MAP) and cardiac output (CO) in congestive heart failure patients is restricted by the limited frequency of CO sampling. Performance criteria for the controller specify maximum allowable transient settling times for both variables, and the design should account for the inherent multirate nature of the process in order...

Multidimensional Synchronous Dataflow (MDSDF) [15][7] is a model of computation that has been proposed for specifying multidimensional multirate signal processing systems such as image and video processing algorithms. The model is an extension of synchronous dataflow (SDF) [14] and has all of the desirable properties of the SDF model such as static schedulability, exposition of data and functio...

Abstract: It is well-known that the existence of unstable zero dynamics is recognized as a major barrier in many control problems. This paper investigates an approximate sampled-data model for nonlinear systems by the use of multirate input and hold such as a generalized sample hold function (GSHF), and further analyzes the sampling zero dynamics of the sampled-data model to show a condition wh...

Commutativity rules play an essential role when building multirate signal processing systems. In this letter, we focus on the interchangeability of block decimators and expanders. We, formally, prove that commutativity between these two operators is possible if and only if the data blocks are of an equal length corresponding to the greatest common divisor of the integer decimation and expansion...

In this paper, we present the application of the Elliptic Minimal Q-Factors (EMQF) subfilters in constructing IIR multirate filters. We show that using EMQF subfilters, efficient implementations are reached for the sampling rate conversion systems, multistage filtering, and tree structured IIR filter banks. It is demonstrated through examples that the proper use of EMQF subfilters provides effi...

In this study, a synthesis tool using a novel multirate folding technique, which handles each FIR filter in a multirate DSP system as a single node, is developed. A new architecture is presented for the multiplierless realization of a fold of multirate FIR filters. This synthesizer fully exploits the redundancies (i.e. "idle" and "missing" cycles) and common terms in multirate systems without s...

Stability analysis of the BDF slowest first multirate methods This paper deals with the stability analysis of the BDF Slowest first multirate time-integration methods which are applied to the transient analysis of circuit models. From an asymptotic analysis it appears that these methods are indeed stable if the subsystems are stable and weakly coupled. Index 1. Introduction 1.1. Partition of th...