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

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DOI: 10.4236/ijcns.2012.51004    3,763 Downloads   6,558 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

N. Yahya Bey, "Multi-Resolution Fourier Analysis Part II: Missing Signal Recovery and Observation Results," International Journal of Communications, Network and System Sciences, Vol. 5 No. 1, 2012, pp. 28-36. doi: 10.4236/ijcns.2012.51004.

References

[1] N. Yahya Bey, “Multi-Resolution Fourier Analysis Part I: Fundamentals”, International Journal of Communications, Network and System Sciences, Vol. 4, No. 6, 2011, pp. 364-371. doi:10.4236/ijcns.2011.46042
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[3] E. Terhardt, “Fourier Transformation of Time Signals: Conceptual Revision,” Acustica, Vol. 57, 1985, pp. 242-256.
[4] D. L. Donoho and P. H. Stark, “Uncertainty Principles and Signal Recovery,” SIAM Journal on Applied Mathematics, Vol. 49, No. 3, 1989, pp. 906-931. doi:10.1137/0149053

  
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