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

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4 Author(s)
Ramos, P.M. ; Dept. of Electr. & Comput. Eng., Tech. Univ. of Lisbon, Portugal ; Fonseca da Silva, M. ; Martins, R.C. ; Serra, A.M.C.

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.

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Instrumentation and Measurement, IEEE Transactions on  (Volume:55 ,  Issue: 2 )