2003
DOI: 10.1117/1.1608002
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Hyperbolic wavelet power spectra of nonstationary signals

Abstract: The hyperbolic kernel and hyperbolic wavelet were shown to be useful and effective in time-frequency signal processing (Le et al., 2001 and 2003). We introduce the time-frequency wavelet power spectrum as a useful technique to study signal characteristics in which the hyperbolic and sym3 wavelets are employed. The hyperbolic wavelet power spectrum technique is employed for signals including electrocardiogram (ECG), sinusoidal, transient exponential, music, and speech. Comparisons between the Fourier power spe… Show more

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Cited by 22 publications
(7 citation statements)
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“…EEG recordings were divided into sub-band frequencies such as delta (δ), theta (θ), alpha (α) and beta (β) by using DWT. Then a set of power features in time-domain was extracted from the wavelet sub-band frequencies δ (0-4 Hz), θ (4-8 Hz), α (8-16 Hz) and β (16)(17)(18)(19)(20)(21)(22)(23)(24)(25)(26)(27)(28)(29)(30)(31)(32). Statistical features are indicative factors in determining qualities of signs.…”
Section: Resultsmentioning
confidence: 99%
“…EEG recordings were divided into sub-band frequencies such as delta (δ), theta (θ), alpha (α) and beta (β) by using DWT. Then a set of power features in time-domain was extracted from the wavelet sub-band frequencies δ (0-4 Hz), θ (4-8 Hz), α (8-16 Hz) and β (16)(17)(18)(19)(20)(21)(22)(23)(24)(25)(26)(27)(28)(29)(30)(31)(32). Statistical features are indicative factors in determining qualities of signs.…”
Section: Resultsmentioning
confidence: 99%
“…Engineering degrees require much use of numerical calculation and logical thinking (Le et al 2003). If students do not have a high degree of knowledge, it may affect the continuity of their study.…”
Section: Degree Of Difficultymentioning
confidence: 99%
“…For ease of understanding, the Fourier transform can be viewed as a mapping the energy distribution in the signal in the frequency domain at which harmonic peaks or dominant peaks represent the peak energy concentration in the waveform. For example, the Fourier transform of a constant signal, which is continuous from −∞ to +∞, is an impulse whose energy concentration is theoretically perfect (Le 2003).…”
Section: The Fourier Transformmentioning
confidence: 99%
“…The nth-order hyperbolic kernel was briefly discussed in [1], and it appears that its performance in cross-term suppression, auto-term support and noise robustness improves as the kernel order n increases. Fundamental background on the hyperbolic kernel and Cohen's time-frequency distributions can be found in [1,6] and references therein.…”
Section: Motivationmentioning
confidence: 99%