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      International Journal of Bioelectromagnetism Vol. 4, No. 2, pp. 247-248, 2002.  | 
	
	    www.ijbem.org  | 
    
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         spectrotemporal Mapping of signal averaged ecg in  
Chun-Cheng Lin1, Ten-Fang 
  Yang2,3, Chih-Ming Chen1, Ing-Fang Yang3 Abstract: The purpose of the present study is to develop the spectrotemporal mapping (STM) for signal averaged electrocardiograms (SAECGs) of normal Taiwanese and CRF patients before and after hemodialysis (HD) therapy in order to evaluate the ventricular arrhythmias of chronic renal failure (CRF) patients, and the effects of HD therapy on STM analysis of SAECGs. The quantitative analysis of spectrotemporal domain 
  SAECG was performed based on a cross-correlation function to define a normality 
  factor (NF) in evaluating the variations on high frequency components of SAECG. 
  The CRF patients before HD therapy have a higher NF (  IntroductionThe detection of ventricular late potentials (VLPs) using SAECG has been an important and noninvasive technique to evaluate patients with high risk ventricular arrhythmia [1]. In recent years, there have been several researches using SAECG for the evaluation of high risk ventricular arrhythmias in CRF patients under HD [2-3]. Vector magnitude analysis developed by Simson at 1981 has been widely used in time domain analysis of SAECG. However, several reports revealed that the residual noises would still affect the final analysis results; even the noise level has been reduced below the standard value [4-6]. In 1989, Haberl et al [7] introduced STM, which analyses the frequency content of VLPs based on moving window techniques and is independent of the noise interference. Although the STM has been adopted by several research groups in the analysis of frequency domain SAECG, the standard analysis procedure has not yet been established [6]. The purpose of the present study is to develop the STM for normal Taiwanese and CRF patients before and after HD therapy in order to evaluate the ventricular arrhythmias of CRF patients, and the effects of HD. MATERIALS AND METHODSMaterialsThere were 52 normal Taiwanese (N) (51 men and 1 woman, 
  aged   
   The high resolution ECGs were recorded using a commercially 
    available Simens-Elema Megacart® machine. The high-resolution measurements 
    of CRF patiens were separately performed 30 minutes before and after HD. A 
    bipolar, orthogonal X, Y and Z lead system was used [5]. A sample of 10 minutes 
    raw ECG data with 12-bit resolution at 2 kHz was stored on computer hard disk 
    for subsequent analysis.
	  According to the 1991 ESC, AHA and ACC Task Force [5], SAECGs 
      were performed at the root mean square value (RMS) noise level set below 
      0.7 microV by a 40-250 Hz bi-directional, high pass Butterworth filter. 
      In time domain analysis, onset and offset were determined from the vector 
      magnitude (VM). 
	  
	   
	  The moving windows were applied in STM to 
        observe the variations of high frequency components of late QRS complex. 
        In this study, the offset was obtained from VM analysis as a reference 
        point. The Blackman Harris window with 80 ms length was adopted. The first 
        segment started 28 ms after the end of QRS complex; the subsequent segments 
        were shifted by increments of 2 ms retrogradely into the QRS complex. 
        The last segment therefore began 20 ms before the QRS offset. After windowing, 
        each segment passed through a high pass Butterworth filter with 10Hz cutoff 
        frequency for reducing the interference effect on high frequency component 
        from the higher amplitude low frequency component. For each windowed and high pass 
        filtered segments, the spectral estimation based on fast Fourier Transform 
        (FFT) was performed by the following definition of periodogram spectral 
        estimator to calculate the power spectral density (PSD):   where N is the segment length, 0  In order to quantify the variations of high 
        frequency components in STM, a reference spectrum was defined as the average 
        spectrum of segment 1 to 5 and the spectrum of segments 1-25 were compare 
        with this reference spectrum by corss correlation in the frequency range 
          All statistical analysis was done with the commercial 
        Microsoft Excel® software. Data were presented as mean  The NF results 
            obtained from STM for normals, CRF patients before and after HD are 
            shown in table 1. Comparing the NF results of Y and Z lead SAECGs 
            and the mean NFs of three leads, the CRF patients before HD have higher 
            NFs than normals, and the NF reduced to the range of normals after 
            HD. These differences are statistically significant. The fixed frequency range of 40 to 150 Hz used in calculating correlation 
            coefficients of STM of SAECG by Haberl et al [7] was modified by using 
             In conclusion, the differences of frequency 
            domain SAECG parameters between CRF and normals were well illustrated 
            by adopting the newly locally developed spectrotemporal analytic techniques. 
            The greater variations of NF in frequency domain SAECG before HD and 
            normals were significantly reduced after the HD. This result was observed 
            from the present study. There were also lower high frequency component 
            variations of late QRS complex in CRF patients before HD. This phenomenon 
            cannot be interpreted with the clinical electrophysiological changes 
            and needs further investigation.    (a)   (b) Figure 1. STM of a CRF patient in lead X: (a) before 
            HD with 91 % NF, (b) after HD with 71 % NF. 
           Normals PreHD p value PostHD X lead 85  87  NS 83  NS Y lead 75  79  < 0.04 72  NS Z lead 75  83  < 0.02 73  NS Mean of XYZ leads 78  83  < 0.004 76  NS  [1]      T.F. 
              Yang, P.W. Macfarlane, “New sex dependent normal limits of the signal 
              averaged electrocardiogram,” Br Heart J, vol. 72, pp. 197-200, 1994.  [2]      C.C. 
              Lin, T.F. Yang, C.M. Chen, et al., “A novel approach toward Better 
              Signal Averaged ECG frequency Domain Analysis,” Proceedings of Medical 
              Informatics Symposium in Taiwan, 2001, pp. 245-248.  [3]     
               C.C. Lin, T.F. Yang, C.M. Chen, et al., “The Effect 
              of Noise Levels on the Time Domain High Resolution ECG Analysis,” 
              Proceedings of Medical Informatics Symposium in Taiwan, 2001, pp. 
              249-252.  [4]     
               P. Lander, E.J. Berbari, R. Lazzara, “Optimal filtering 
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              recordings,” Circulation, vol. 91, pp. 1495-1505, 1995.  [5]     
               G. Breithardt, M.E. Cain, N. El-Sherif, et al., “Standards 
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              or signal-averaged electrocardiography,” J Am Coll Cardiol,    vol. 
              17, pp. 999-1006, 1991.  [6]     
               M.E. Cain, J.L. Anderson, M.F. Arnsdorf, “Signal-Averaged 
              lectrocardiography,” J Am Coll Cardiol, vol. 27, pp. 238-249, 1996.  [7]     
               R. Haberl, G. Jilge, R. Pulter, et al., “Spectral 
              mapping of the electrocardiogram with Fourier transform for identification 
              of patients with sustained ventricular tachycardia and coronary 
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