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Simulation and experimental results of multiharmonic least-squares fitting algorithms applied to periodic signals

A new generation of multipurpose measurement equipment is transforming the role of computers in instrumentation. The new features involve mixed devices, such as analog-to-digital and digital-to-analog converters and digital signal processing techniques, that are able to substitute typical discrete i...

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Bibliographic Details
Published in:IEEE transactions on instrumentation and measurement 2006-04, Vol.55 (2), p.646-651
Main Authors: Ramos, P.M., Fonseca da Silva, M., Martins, R.C., Serra, A.M.C.
Format: Article
Language:English
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Summary:A new generation of multipurpose measurement equipment is transforming the role of computers in instrumentation. The new features involve mixed devices, such as analog-to-digital and digital-to-analog converters and digital signal processing techniques, that are able to substitute typical discrete instruments like multimeters and analyzers. Signal-processing applications frequently use least-squares (LS) sine-fitting algorithms. Periodic signals may be interpreted as a sum of sine waves with multiple frequencies: the Fourier series. This paper describes an algorithm that is able to fit a multiharmonic acquired signal, determining the amplitude and phase of all harmonics. Simulation and experimental results are presented.
ISSN:0018-9456
1557-9662
DOI:10.1109/TIM.2006.864260