Multi-Resolution Fourier Analysis Part II: Missing Signal Recovery and Observation Results

Nourédine Yahya Bey

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DOI: 10.4236/ijcns.2012.51004                

Abstract

In this paper, we report application procedures and observed results of multi-resolution Fourier analysis proposed in the first part of this series. Missing signal recovery derived from multi-resolution theory is developed. It is shown that multi-resolution Fourier analysis enhances dramatically performances of Fourier spectra suffering limitations traced to implicit time windowing. Observed frequency resolutions, improvement of frequency estimations, contraction of spectral leakage and recovery of missing parts of finite duration signals are in accordance with theoretical predictions.

Keywords

Fourier Multi-Resolution; Spectral Analysis; Frequency Estimation; Frequency Resolution; Spectral Leakage; Missing Parts; Signal Recovery

Conflicts of Interest

The authors declare no conflicts of interest.

References

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