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 IJCNS  Vol.5 No.1 , January 2012
Multi-Resolution Fourier Analysis Part II: Missing Signal Recovery and Observation Results
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.
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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[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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