Weidenhagen R, Wichmann A, Koebe H G, Lauterjung L, Fürst H, Messmer K
Department of Surgery, University of Munich, Germany.
Int J Microcirc Clin Exp. 1996 Mar-Apr;16(2):64-73. doi: 10.1159/000179152.
In order to investigate laser Doppler (LD) flux motion in healthy subjects and patients with peripheral arterial occlusive disease (PAOD), spectrum analysis of LD signals is needed. Autoregressive analysis (AR) is presented as an alternative method of power spectrum estimation. This procedure is compared to the commonly used fast Fourier transform algorithm (FFT) by describing the analytical power of both spectra in the analysis of flux motion waves. LD signals were recorded from the forefoot of 8 healthy volunteers and 11 patients with different degrees of PAOD. The flux, concentration of moving blood cells and velocity signal was digitized and stored for off-line analysis. Special software was designed to calculate AR and FFT spectra of the LD signals and to compare the suitability of both methods for the spectral analysis of LD recordings. Additionally, three-dimensional spectrum diagrams were calculated to demonstrate time-dependent flux changes during standardized provocation maneuvers. AR facilitates the determination of frequency and amplitude of flux motion waves as compared to the FFT. Low frequency-large amplitude waves (LF waves) were detected in both groups. High frequency-small amplitude waves (HF waves), which predominantly appear in severe ischemia, were observed in 7 of the 11 patients and in 2 of the 8 controls. The spectra revealed pulsatile waves in all healthy controls, but only in 1 of the 11 patients. AR modelling allows a reliable description of important flux motion components and has considerable advantages in spectral estimation of LD signals as compared to the FFT.
为了研究健康受试者和外周动脉闭塞性疾病(PAOD)患者的激光多普勒(LD)通量运动,需要对LD信号进行频谱分析。自回归分析(AR)作为功率谱估计的一种替代方法被提出。通过描述两种频谱在通量运动波分析中的解析能力,将该方法与常用的快速傅里叶变换算法(FFT)进行比较。从8名健康志愿者和11名不同程度PAOD患者的前足记录LD信号。通量、移动血细胞浓度和速度信号被数字化并存储以供离线分析。设计了专门的软件来计算LD信号的AR和FFT频谱,并比较两种方法对LD记录进行频谱分析的适用性。此外,还计算了三维频谱图,以展示标准化激发操作期间随时间变化的通量变化。与FFT相比,AR有助于确定通量运动波的频率和幅度。两组均检测到低频-大幅度波(LF波)。高频-小幅度波(HF波)主要出现在严重缺血中,在11名患者中的7名和8名对照组中的2名中观察到。频谱显示所有健康对照组中均有脉动波,但11名患者中只有1名有。与FFT相比,AR建模能够可靠地描述重要的通量运动成分,并且在LD信号的频谱估计方面具有相当大的优势。