Assessment of influence of systematic errors on the precision with which the normalized frequency of a sinusoidal signal is determined by means of a discrete fourier transformation with interpolation

Belega, Daniel; Zaporojan, Sergiu

doi:10.1007/s11018-009-9239-x

Cited by 10 publications

(1 citation statement)

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“…It should be noticed that, for sine wave signals, the estimator δˆis affected by the spectral interference from the image component of the spectrum [9]. When using coherent sampling the effect of spectral interference is null.…”

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confidence: 99%

Performance comparison of the three-parameter and the four-parameter sine-fit algorithms

Belega

Dallet

Petri

2011

2011 IEEE International Instrumentation and Measurement Technology Conference

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The aim of this paper is to compare the performances of the three-parameter sine-fit (3PSF) and the four-parameter sine-fit (4PSF) algorithm when a sine wave corrupted by a Gaussian noise is analyzed. Algorithm accuracy is evaluated by means of the expected sum-squared fit error and the normalized frequency required by the 3PSF algorithm is estimated by the Interpolated Discrete Fourier Transform (IpDFT) method. It is shown that the 4PSF algorithm produces a somewhat better fit than the 3PSF algorithm, but the achieved accuracies are almost equal when the number of acquired samples is greater than 512. The theoretical expressions derived in the paper are confirmed by means of both computer simulations and experimental results.

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confidence: 99%