MRS analysis of the squared time series (eq. 33) was done for one Columbia 

 Light record. The spectrum from the FFT analysis (Fig. 15) shows substantial 

 energy at very low frequencies. The MRS analysis, covering only the very low 

 frequencies, returned the amplitudes and frequencies plotted in Figure 37. 

 The constituents accounted for 29.0 percent of the variance in the squared 

 time series. Phase versus frequency for the squared time series is plotted 

 in Figure 38. The synthesized time series, created by recombining the square 

 roots of the MRS constituents (Fig. 39, a and b), shows clear peaks for times 

 at which the original time series contains groups of high waves. 



Frequency ( Hz ) 

 Figure 37. Amplitude versus frequency from MRS analysis of low frequencies 

 in squared time series at Columbia Light, 1300 to 1317 P.d.t., 

 17 October 1979; 1,024-second record used. Range of frequen- 

 cies in initial MRS run was 0.0006 to 0.0528 hertz. 



Frequency (Hi) 



Figure 38. Phase versus frequency from MRS analysis of low frequen- 

 cies in squared time series at Columbia Light, 1300 to 

 1317 P.d.t., 17 October 1979; 1,024-second record used. 



57 



