Gavriely N, Herzberg M
Department of Physiology and Biophysics, Faculty of Medicine, Haifa, Israel.
J Appl Physiol (1985). 1992 Nov;73(5):1776-84. doi: 10.1152/jappl.1992.73.5.1776.
The spectral content of normal tracheal and chest wall breath sounds has been calculated using the fast Fourier transform (FFT) (J. Appl. Physiol. 50: 307-314, 1981). Parameter estimation methods, in particular autoregressive (AR) modeling, are alternative techniques for measuring lung sounds. The outcome of AR modeling of 38 complete breaths picked up simultaneously over the chest walls and tracheae of five normal males was evaluated. The sounds were treated as noise, bounded by a quasi-periodic envelope generated by the cyclic action of breathing, thus causing the sounds to become inherently nonstationary. Normalization of the sounds to their corresponding variance envelopes eliminated the nonstationarity, an important requirement for most signal-processing methods. Subsequently, the AR model order was sought using formal criteria. Orders 6-8 were found to be suitable for normal chest wall sounds, whereas tracheal sounds required at least orders 12-16. Using orders 6 and 12, we compared the prominent spectral features of chest wall and tracheal sounds calculated by AR with those found in the spectra calculated by FFT. The polar representation of the AR roots, calculated from the AR coefficients, showed that normal lung sounds from a group of individuals are characterized by a low variability, suggesting that this method may provide an alternative representation of the sounds. The data presented here show that normal lung sounds, when measured in the frequency domain by either FFT or AR modeling, have a characteristic pattern that is independent of the analysis method.
正常气管呼吸音和胸壁呼吸音的频谱内容已通过快速傅里叶变换(FFT)计算得出(《应用生理学杂志》50: 307 - 314, 1981)。参数估计方法,特别是自回归(AR)建模,是测量肺音的替代技术。对从五名正常男性的胸壁和气管同时采集的38次完整呼吸音进行AR建模的结果进行了评估。这些声音被视为噪声,由呼吸的周期性作用产生的准周期性包络界定,因此这些声音本质上是非平稳的。将声音归一化到其相应的方差包络消除了非平稳性,这是大多数信号处理方法的重要要求。随后,使用形式准则寻找AR模型阶数。发现6 - 8阶适用于正常胸壁声音,而气管声音至少需要12 - 16阶。使用6阶和12阶,我们将通过AR计算的胸壁和气管声音的突出频谱特征与通过FFT计算的频谱中的特征进行了比较。从AR系数计算出的AR根的极坐标表示表明,一组个体的正常肺音具有低变异性的特征,这表明该方法可能提供声音的另一种表示形式。此处呈现的数据表明,当通过FFT或AR建模在频域中测量时,正常肺音具有独立于分析方法的特征模式。