A multiestimation adaptive control scheme for linear time-invariant (LTI) continuous-time plant with unknown parameters is presented. The set of discrete adaptive models is calculated from a different combination of the correcting gain β in a fractional order hold (FROH) and the set of gains to reconstruct the plant input under multirate sampling with fast input sampling. The reference output i...

A new class of FIR filtering algorithms and VLSI architectures based on the multirate approach were recently proposed. They reduce the computational complexity in FIR filtering, and also retain attractive implementation related properties such as regularity and multiply-and-accumulate (MAC) structure. In addition, the multirate feature can be applied to low-power/high-speed VLSI implementation....

In this correspondence, we present some novel multirate architectures based on multirate subsystems in feedback configuration for the realization of recursive (AR) filters with reduced multiplicative complexity. Included in this are composite architectures in which there are multiple multirate subsystems with different multirate factors. This can be extended to ARMA transfer functions in which ...

In complicated mechanical systems, fault diagnosis, especially regarding feature extraction from multiple sensors, remains a challenge. Most existing methods for tend to assume that all sensors have uniform sampling rates. However, complex systems use multirate sensors. These upsampling data preprocessing ensure signals at the same scale can cause certain time-frequency features vanish. To addr...

This paper considers identification problems of multirate multi-input sampled-data systems. Using the continuous-time system discretization technique with zero-order holds, the mapping relationship (state–space model) between available multirate input and output data is set up. The multi-innovation identification theory is applied to estimate the parameters of the obtained multirate models and ...

Multidimensional Synchronous Dataflow (MDSDF) [5][2] is a model of computation that has been proposed and implemented for specifying multidimensional multirate signal processing systems such as image and video processing algorithms. The model is an extension of synchronous dataflow (SDF) [4] and has all of the desirable properties of the SDF model such as static schedulability, exposure of data...

In this contribution the impact of finite signal wordlengths on the performance of digital systems for arbitrary sampling rate conversion (ASRC), where input and output sampling rates are derived from independent clock generators, is investigated. For two different approaches to ASRC the noise power due to both, input/output quantisation and multiplication roundoff errors, is determined as a fu...

This paper presents a fault detection and isolation scheme for multirate systems with a fast input sampling rate and slower output sampling rates. We design a separate observer for each set of simultaneous measurements with the observer operating at their sampling rate. We use an unknown input observer design to allow state estimation in the presence of disturbances and modelling errors. The ob...

In this paper, we have presented the effect of varying time-delays on performance and stability in the single-channel multirate sampled-data system in hard real-time (RT-Linux) environment. The sampling task require response time that might exceed the capacity of RT-Linux. So a straight implementation with RT-Linux is not feasible, because of the latency of the systems and hence, sampling perio...