Hin = 11.6m 
To = 16.1 sec 
— MAXIMA 
——— MINIMA 
—— LINEAR 
1 © 5 10 15 20 
Fig. 12.16. Expected 1/n highest values of wave amplitude. 
(From Hineno.®’) 
Y(t) = [ een X(t—T) dt, 
+ | | ex 1,72) X(t—T1) X(t—T2) dt\dr2 
+ | | | exer.) x(t—T1) x(t—T2) x(t—73) dtydt2dt3. (12.124) 
(Limits of integrals — © — + o are omitted throughout this section.) 
As was assumed in Section 11.5, here the kernels or the nth degree impulse 
response functions g,(Ti,T2 . . . T,) are real, time invariant, completely symmetrical in 
the variables g,(t),T2 . . . Tr) = p(T273 . . . Tr, T1) = . . . for any rearrangement of the 
variables t;, and sufficiently smooth and integrable so that there exist n—fold Fourier 
transforms, 
&n(T1,T2 Sion maa | | coe | Gx(o1,07 0 0-0 On) 
a 
n 
n 
exp |S nao, ... dW, (12.125) 
j=l 
364 
