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njit-etd2003-081 - New Jersey Institute of Technology

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238<br />

both the normal and COPD subjects were evaluated. Each distribution: the short time<br />

Fourier transform (STFT), the smoothed pseudo Wigner-Ville (SPWVD), the Choi-<br />

Williams (CWD) and the Born-Jordan-Cohen (BJCD), has unique characteristics which<br />

was shown to affect the amount <strong>of</strong> smoothing and the generation <strong>of</strong> cross-terms<br />

differently. The same biological signals were also analyzed using five different types <strong>of</strong><br />

wavelets: the Morlet, Meyer, Daubechies 4, Mexican Hat and Haar wavelets. The<br />

resulting 3D and contour plots were compared: first, visually and second, by using the<br />

proposed correlation indices <strong>of</strong> the Wigner distribution, which was cited in the literature<br />

[38] as the best distribution <strong>of</strong> the Cohen's class, and five presented wavelets. Although<br />

four Cohen's class distributions and five wavelets were used to analyze the physiological<br />

data, it was found that the Morlet wavelet was consistently proven to be the best timefrequency<br />

technique for HRV, BPV and respiration analysis.<br />

In all, the difficulty with TF analysis was the ability to extract the relevant<br />

information. The resulting time-dependent spectra contained a lot <strong>of</strong> information and<br />

knowing how to extract the information was crucial to the interpretation <strong>of</strong> the physiology.<br />

By expanding the concept <strong>of</strong> spectral analysis <strong>of</strong> heart rate variability (HRV) into timefrequency<br />

analysis, one was able to quantitatively assess the parasympathetic (HF) and<br />

sympatho-vagal balance (LF:HF) changes as a function <strong>of</strong> time. As a result, the reassessment<br />

<strong>of</strong> the autonomic nervous system during rapid changes was made. The results<br />

also demonstrated that TF analysis provided temporal and spectral localization that could<br />

not be revealed by the use <strong>of</strong> standard spectral methods. The five wavelets were chosen<br />

for further application because <strong>of</strong> overcoming the drawbacks <strong>of</strong> the other distributions by

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