The design of constrained multirate systems using a relative ` error criterion is considered. A general algorithm is proposed to solve the problem. One application of the algorithm is the design of a new class of multirate lters for signal decomposition{projection lters. These multirate systems are projection operators that optimally approximate linear time-invariant lters in the ` norm. A seco...

A new class of FIR ltering algorithms and VLSI architectures based on the multirate approach were recently proposed. They not only reduce the computational complexity in FIR ltering, but also retain attractive implementationrelated properties such as regularity and multiply-and-accumulate (MAC) structure. In addition, the multirate feature can be applied to low-power/high-speed VLSI implementat...

This paper presents the digital redesign of continuous time controller when the measurement sampling period is relatively large and standard discretization methods are most likely not able to provide a suitable digital controller from either stability or performance point of view. An analysis tool is provided to improve the performance of digital control systems by the following two measures: 1...

Decimator is an important sampling device used for multi-rate signal processing in wireless communication systems. Multirate systems have traditionally played the important role in compression for contemporary communication application.In this paper it demonstrated that a multistage implementation of sampling rate conversion often provides for a more efficient realization, especially when filte...

The conventional signal reconstruction problem of multirate systems with channel noises can be cast as a robust multirate deconvolution design problem. We investigate a unified minimax approach for the robust deconvolution design of multirate systems. We discuss two typical multirate systems: the multirate filter bank system and the transmultiplexer system. We consider transmission noises resul...

In this paper, optimal digital redesign is studied within the framework of sampled-data control theory. In particular, multirate discretization of analog controllers is considered using an H 2 or H 1 optimality criterion. Solutions are obtained via multirate H 2 or H 1 optimization with a causality constraint due to the multirate structure. In two design examples studied , comparison of the pro...

After its original formulation in [1], the H ∞-optimization problem has drawn great attention (see e.g. [2]-[12] and the references cited therein). Several approaches have been reported in order to solve this important design problem for a variety of systems types. In particular, the H ∞-control problem for discrete-time and sampled-data singlerate and multirate systems has successfully been tr...

• Formally defines the Multirate PALS synchronizer for distributed multirate systems. • Proves the correctness of Multirate PALS. • Uses Multirate PALS on a distributed control algorithm for turning an airplane. a r t i c l e i n f o a b s t r a c t Distributed real-time systems (DRTSs), such as avionics and automotive systems, are very hard to design and verify. Besides the difficulties of asy...