Sole 
Shek 
539: 
5.40. 
5.41. 
5.42. 
5.43. 
5.44. 
5.45. 
5.46. 
6.1. 
6.2. 
6:3" 
6.4. 
6.5 
Weil 
Tees 
Ue 
7A. 
ed. 
7.6. 
FIGURES (Continued) 
Page 
Spectrum of MA(1) process (1) X,=€;—0.7€,;, €,: N[O,1] ........ 169 
Simulated MA(1) process (2) X,=€;+0.7€,1;, €,: N[O,1] .......... 171 
Autocorrelation coefficient for MA(1) process (2) 
Xesep Ores. “eNO CORRE Sek Ane eae ere 172 
Spectrum for MA(1) process (2) X,=€;+0.7€.1, €,: N[O,1] ........ 173 
Simulated ARMA(2.2) process 
X,—0.5X,_) + 0.8X,_2 = €,+ 0.2€,;+0.8€,2, €,: N[O,1] ............ 176 
Autocorrelation coefficient for ARMA(2.2) process 
X,—0.5X;_1 + 0.8X,-2 = €,+ 0.2€,1+0.8€,2, €:: N[O,1] ............ 177 
Spectrum for ARMA(2.2) process 
X,—0.5X;_1 + 0.8X,_2 = €,+0.2€,1+0.8€,2, €,: N[O,1] ............ 178 
Residualierror is 2)) seis ec eee Nilo oie aauia cuisonaiey suet uie  enairer es elpeteu ales ouetsneasr cian 194 
] eh & Sh AST 7 Ee en Cet 9, Ne Sect AA Vain alae Malaita cad oraiy 6H 196 
ATE (GQ) V8iig vale, cose eco sheraleaterstosanersherne rebene tlc uayetep Mamet te hens of iereMc ene atta 197 
Linear system without feedback .......... 0... cece ee ee ec eee ees 202 
inear/system with feedback syne oc syn oii elo aonnic 202 
Two-dimensional feedback system ..............2 eee eee eee eee 206 
GLP TOE ee ese Se ates aa alind eee a od ua Gis This ST aI otra 216 
G)fOr; KS AK SO: aielerciacintete hoe a es evan eto oe Ree eee ae 217 
Comparison between the predicted values of seakeeping data 
andithevobservedivalues! tric acre cte eevee teen ror iets here vente eiey ara 227 
Examples of spectra of model seakeeping data....................--. 229 
Behavior of AIC for seakeeping data in getting the 
Spectra.(b) amy Pao nha cy cla anetenate empemetensve yore ate Veurstawetatersceys acres 230 
Simulated AR(2) process X; = 0.5 X,) — 0.7 X-2 +€;, 
Ep isa white noise N (Oi) teanmccus eect reales fe oaceered ten 230 
Comparison of AR—model fitting method and B—T method 
and the effect of changing orders of AR—model fitted to 
the simulatedVAR=2 process sy sve iecrs evens loneietonelnoneletet heer Mel eeheieN tonto 231 
Effect of changing orders in AR—model fitting to the simulated 
AR(2) process (Fig. 7.4) [MAIC shows order is AR—2] and the 
comparison with spectrum obtained by B—T method .................. 233 
