eile 
Soll. 
Ss, 
hess 
3.4. 
Sb 
3:0: 
Sohn 
3.8. 
5.9; 
3.10. 
Zollil 
SulZ: 
S513" 
3.14. 
3.15. 
SoG; 
Salle 
3.18. 
Bye). 
3220! 
See 
Si22: 
3223. 
3.24. 
FIGURES (Continued) 
Page 
Mulupleinputsisingleoutputisystemineer eee eee eee acre 63 
Shift of cross correlation in applying the lag window.................. 68 
Auto and cross correlations of wave, roll, roll—wave for a model 
ship sntaitanks (run S34) cee ree erga cree eens Nee eC vse 69 
Auto and cross spectra of wave, roll, roll-wave (run 834) 
(max. lag no. m=60 with shift and m=40 without shift) ................ 70 
Frequency responses of roll—wave (run 834) (m=60 with shift 
and)m—=40>withoutsshift) saan eee eee eee 71 
Auto and cross correlation of wave, roll, roll—wave of a 
model shrpy(muUMiS32) oscars eet reper pe aera yt ae er era Oe eee ia ee 72 
Auto and cross spectra of wave, roll, roll-wave (run 832) 
(m=60 with shift, and m=40 and 120 without shift) ................... 73 
Frequency responses of roll—waves (run 832) ...................0000 74 
Auto correlation of waves, roll, and cross correlation of wave—roll 
of-a-modellshipi(‘Shift:'r,;=19) cy gee ecole id ea ee are eee ee 75 
Impulse response of roll to wave height (without advance speed) ........ 75 
Frequency response of roll to wave height .....................--0-- 76 
Comparison of synthesized and observed output of roll................ 76 
Multiplemnputsinterpretaionger meee eee ee nee WY 
Examples of record on visi-corder (test no. 220) ...........00cceeeeee 78 
Example of autocorrelations (normalized) and the spectra (run 207) ...... 81 
Example of autocorrelations (normalized) and the spectra (run 214) ...... 81 
Averaged correlograms and spectra (normalized) ................0.00. 82 
Roll, (roll)?, 1/2{ (roll),?— (roll)g412} processes .............0.-.0000. 82 
Spectra‘ofsroll(roll)24(roll)-=tilterede ee ee 83 
Coherencies for single input-output relations ....................000. 84 
Coherency of squared rolling process and filtered squared 
rolling: processito/the!stress\". <a aac ie eee 85 
Example of four—inputs analysis — (I); correlations and spectra .......... 86 
Example of four—inputs analysis — (1); partial amplitude 
gains'and: phase shifts Sie sears eee ee Ee a a 87 
Example of three—inputs analysis; correlations and spectra ............. 88 
Example of three—inputs analysis; amplitude gain and phase shift........ 89 
