Tanaka Kunihiko, Hargens Alan R
Department of Orthopaedic Surgery, 350 Dickinson Street, University of California, 8894 San Diego, CA 92103, USA.
Med Eng Phys. 2004 May;26(4):313-9. doi: 10.1016/j.medengphy.2004.01.007.
Wavelet transform is used for time-frequency analysis. Recently, discrete wavelet transform (DWT) has been used to analyze R-R interval or heart rate variability. However, we hypothesized that wavelet packet transform (WPT) is a better way to analyze such variability. In the present study, we compared resolution of frequency band and amplitude, which are used for analysis of the variability, with DWT and WPT, followed by Hilbert transform.
A chirp signal which covers all frequency bands used for R-R interval variability was employed as a simulated signal. Levels 1-6 of DWT and level 3 of WPT were used for signal analysis. Amplitudes of the gained signal were evaluated with Hilbert transform. Differences in error of the gained amplitude from expected amplitude between CWT and DWT for low-frequency (LF) and high-frequency (HF) components were compared. To evaluate time-dependent changes in R-R interval variability, head-up tilt (HUT) was employed as an orthostatic challenge.
Errors for both HF and LF, derived from the simulated signal with WPT, were significantly smaller than those of DWT. With HUT, time dependent changes in LF, HF, and LF/HF were observed.
Although DWT is a valuable method for time-frequency analysis, WPT is a more appropriate method to utilize wavelet transform due to the equivalent resolution of the gained frequency band. WPT for time-frequency analysis improves analysis of time-dependent changes in R-R interval variability.
小波变换用于时频分析。最近,离散小波变换(DWT)已被用于分析R-R间期或心率变异性。然而,我们假设小波包变换(WPT)是分析此类变异性的更好方法。在本研究中,我们将用于变异性分析的频带分辨率和幅度分辨率与DWT和WPT进行了比较,随后进行希尔伯特变换。
采用覆盖R-R间期变异性所用所有频带的啁啾信号作为模拟信号。DWT的1-6级和WPT的3级用于信号分析。通过希尔伯特变换评估所得信号的幅度。比较了连续小波变换(CWT)和DWT在低频(LF)和高频(HF)分量上所得幅度与预期幅度的误差差异。为了评估R-R间期变异性随时间的变化,采用头高位倾斜(HUT)作为直立性应激试验。
WPT对模拟信号所得的HF和LF误差均显著小于DWT。在HUT试验中,观察到LF、HF和LF/HF随时间的变化。
虽然DWT是时频分析的一种有价值的方法,但由于所得频带分辨率相当,WPT是一种更适合利用小波变换的方法。用于时频分析的WPT改善了对R-R间期变异性随时间变化的分析。