A Fast, Simplified Frequency-Domain Interpolation Method for the Evaluation of the Frequency and Amplitude of Spectral Components

The evaluation of the spectral components of a signal by means of discrete Fourier transform or fast Fourier transform algorithms is subject to leakage errors whenever the sampling frequency is not coherent with the signal frequency. Smoothing windows are used to mitigate these errors, and interpola...

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Vydáno v:IEEE transactions on instrumentation and measurement Ročník 60; číslo 5; s. 1579 - 1587
Hlavní autoři: Ferrero, A, Salicone, S, Toscani, S
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.05.2011
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
Accuracy
Algorithms
Computation
Cosine windows
Errors
Exact solutions
Fast Fourier Transform (FFT)
Fourier transforms
Frequency domain analysis
frequency-domain interpolation
Interpolation
Sampling
Smoothing methods
Spectra
spectral analysis
Table lookup
Uncertainty
ISSN:0018-9456, 1557-9662
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Shrnutí:The evaluation of the spectral components of a signal by means of discrete Fourier transform or fast Fourier transform algorithms is subject to leakage errors whenever the sampling frequency is not coherent with the signal frequency. Smoothing windows are used to mitigate these errors, and interpolation methods are applied in the frequency domain to reduce them further on. However, if cosine windows are employed, closed-form formulas for the evaluation of harmonic frequencies can be used only with the Rife-Vincent class I windows, while approximated formulas have to be used in other cases. In both cases, a high computation burden is required. This paper proposes a fast interpolation method, independent of the window type and order, based on suitable lookup tables. Experimental results are reported, and the accuracy is discussed, proving that the method provides results as good as those obtained with other methods, without requiring the same high computation burden.
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ISSN:0018-9456
1557-9662
DOI:10.1109/TIM.2010.2090051