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Author: search.filters.author.Kamoldilok, SurachartSubject: search.filters.subject.RMS calculation

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    Accurate RMS calculations for periodic signals by Trapezoidal rule with the least data amount
    (2013-11-12)
    Poomjan, Sompop
    ;
    Taengtang, Thammarat
    ;
    Srinuanjan, Keerayoot
    ;
    Kamoldilok, Surachart
    ;
    Buranasiri, Prathan
    The purpose of this research is to present a simple method using the least data amount to calculate root mean square (RMS) values of periodic signals (constructed from Fourier series) which the highest harmonic order is known or able to be estimated. In the research, trapezoidal rule with the least data amount was proved and tried to calculate definite integral values of sinusoidal signals from a lot of trial runs until a significant property was found. Then the property would be deployed to calculate RMS values. Results of the research can provide not only more convenient processes of simple trapezoidal rule but also more accurate results than the patented Simpson's rule in the same least data amount. © 2013 Sompop Poomjan et al.
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    Proof of using fourier coefficients for root mean square calculations on periodic signals
    (2013-01-01)
    Poomjan, Sompop
    ;
    Taengtang, Thammarat
    ;
    Srinuanjan, Keerayoot
    ;
    Kamoldilok, Surachart
    ;
    Ruttanapun, Chesta
    The purpose of this work is to academically prove using Fourier coefficients of periodic signals for root mean square (RMS) calculations. In the detail, properties of Fourier series are brought to calculate RMS values of periodic signals obviously. Results from this work can confirm that this method is more convenient, efficient and simple for RMS calculations than Calculus integration technique (if Fourier coefficients are given) and can be cited for further researches. © 2014 Sompop Poomjan et al.