Abstract

The differential component of the feedback is used to enhance dynamics of controlled mechanisms in control systems. However, the use of the differential component increases the noise interference, resulting in the need to use different filtering methods. This paper describes the research of a differentiated signal input in a differential Lanczos filter. The influence of the filter order on the integrated square error of the filtered signal is defined. The impact of signal dispersion and a sampling interval on the integrated square error of the filtered signal is identified. Moreover, the most convenient parameter values for the Lanczos filter are determined. The paper also includes the comparison of the exponential moving average filter and the Lanczos filter with selected values of noise dispersion and a sampling interval. The research shows the possibility to apply the Lanczos filter for processing of the differentiated signals.

Highlights

  • Control systems are used in many different fields of mechanical engineering such as space, aviation, shipbuilding and other industries

  • It forces specialists to find a compromise between the quality of the filter and the amount of processing time

  • Combining good noise suppression and differentiation, the Lanczos filter is widely used in filtering radio signals

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Summary

Introduction

Control systems are used in many different fields of mechanical engineering such as space, aviation, shipbuilding and other industries. For enhancing dynamics of controlled mechanisms, a differential component is used to implement real-time control systems with high control quality; the use of the differential component increases the noise interference, resulting in the need to use filtering methods [1,2,3,4,5]. Algorithmic implementation of these methods requires high computational power and increases signal processing time, which limits their usage in real-time systems. The paper [7] describes a study of a standard filter based on the method of an exponential moving average. This filter does not differentiate the signal; it is rarely used for such. Combining good noise suppression and differentiation, the Lanczos filter is widely used in filtering radio signals

Methods
Noise dispersion a b
Signal values
Conclusion

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