scholarly journals Fast Second Order Original Prony’s Method for Embedded Measuring Systems

2017 ◽  
Vol 24 (4) ◽  
pp. 721-728
Author(s):  
Jarosław Zygarlicki
Keyword(s):  
Initial Phase ◽  
Second Order ◽  
Digital Measurement ◽  
Embedded Devices ◽  
Measuring Systems ◽  
Measurement Systems ◽  
Prony's Method ◽  
Computing Performance ◽  
Prony’S Method ◽  
Mathematical Operations

AbstractThe paper presents a method of adaptation of the original second order Prony’s method for applications in lowcost digital measurement systems with low computing performance. The presented method can be used in measuring systems where it is important to obtain in real time the values of amplitude, frequency, initial phase and damping coefficient of a single sinusoidal component of an analysed signal. The paper presents optimized, in terms of the number of mathematical operations, implementation of the method in selected embedded devices as well as the calculation times of the method for each platform.

scholarly journals Prony’s Method with Reduced Sampling - Numerical Aspects

2014 ◽  
Vol 21 (3) ◽  
pp. 521-534 ◽  
Author(s):  
Jarosław Zygarlicki ◽  
Janusz Mroczka
Keyword(s):  
Electric Power ◽  
Average Frequency ◽  
Estimation Accuracy ◽  
Actual Measurement ◽  
Measurement Systems ◽  
Measuring Devices ◽  
Prony's Method ◽  
Analysis Window ◽  
Prony’S Method ◽  
Signal Processors

Abstract This paper presents a new modification of the least-squares Prony’s method with reduced sampling, which allows for a significant reduction in the number of the analysed signal samples collected per unit time. The specific combination of non-uniform sampling with Prony’s method enables sampling of the analysed signals at virtually any average frequency, regardless of the Nyquist frequency, maintaining high accuracy in parameter estimation of sinusoidal signal components. This property allows using the method in measuring devices, such as for electric power quality testing equipped with low power signal processors, which in turn contributes to reducing complexity of these devices. This paper presents research on a method for selecting a sampling frequency and an analysis window length for the presented method, which provide maximum estimation accuracy for Prony’s model component parameters. This paper presents simulation tests performed in terms of the proposed method application for analysis of harmonics and interharmonics in electric power signals. Furthermore, the paper provides sensitivity analysis of the method, in terms of common interferences occurring in the actual measurement systems.

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