Table 1 

 Parameters* of Unimodal Test Data 



























Group 



1 : 



Af/f. = 0. 



05 



Group 2: 



Af/f. = 0. 



10 



Group 3 : 



Af/f. =0.20 



Case 



# 



# 



of Lines 



Case # 



# 



of Lines 



Case # 



# 



of Lines 



38 







164 





1 





328 





11 





655 



39 







82 





2 





164 





12 





328 



40 







41 





3 





82 





13 





164 



41 







20 





4 





41 





14 





82 



42 







10 





5 





20 





15 





41 



43 







5 





6 





11 





16 





20 



44 







3 





7 



8 



9 



10 





10 

 5 

 3 

 2 





17 

 18 

 19 





10 

 5 

 3 



Group 



4: 



Af/f„ = 



.40 



Group 5 : 



Af/f. = 0, 



.80 



Group 6 : 



Af/f„ =1.60 



Case 



# 



, _#. 



of Lines 



Case # 



. _#_ 



of Lines 



Case # 



. _#_ 



of Lines 



20 







1311 





29 





2621 





45 





5243 



21 







655 





30 





1311 





46 





2621 



22 







328 





31 





655 





47 





1311 



23 







164 





32 





328 





48 





655 



24 







82 





33 





164 





49 





328 



25 







41 





34 





82 





50 





164 



26 







20 





35 





41 





51 





82 



27 







10 





36 





20 





52 





41 



28 







5 





37 





10 





53 





20 



* For all cases: f^ = 0.1 Hz , H^^ = 2.0 m , 20 runs averaged for each case 



inset in the upper part of Figure 3 shows the correspondence between Af/f^ 

 and the spectral width parameter £ of Cartwright and Longuet-Higgins (1956) , 

 defined in Equation 18. Figure 4 shows the same pattern of comparison but for 

 the Modified Rayleigh model vice the Rayleigh model. 



58. Figure 3 reveals some interesting characteristics of synthetic 

 data. Perhaps the most obvious is that the smaller the fraction r in the 

 average H'^' , the more wave components are required to approximate a 

 Rayleigh distribution. For the average heights H*^'^' , the curves are 

 relatively flat for all numbers of component lines. The same is true for 

 H'^''^' . For H^^'^°' , it appears that about 20 component waves are necessary 

 to differ from a Rayleigh H<^/^°' by less than 10 percent. For h'^'^°°' , it 



30 



