CORRELOGRAM 
4 
x10~4 (FEET! | RUN NO. 832 tS 
15 WAVE Qy(T) (SPECTRUM 1) ss ie 
10 
At = 0.5 SEC. 
mf P 
Fig. 3.5. Auto and cross correlation of wave, roll, rol--wave of a 
model ship (run 832). 
(From Yamanouchi.3") 
Ryx(—n) Ryy(0)  Ryx(l)..... Rxyx(n) . . . . Ryy(2n) igus 
Ryx(—n+1)| |Rxx) —- Rxx(0)... . Rxx(n—1) . . Ryx(2n—-1)| | g-ne1 
; le : eas 
Ryx(0) Rxx(n) —s- Rxx(n—-1) . . . RxxX(0) . . . .. Rxx(n) 80 
Ryx(n— 1) Ryx(2n—- 1) Ryy(2n—2) . . Ryx(n—1) . . Rxx(1) 8n-1 
Ryx(n) Ryx(2n) — Ryy(2n—1) . . Rxx(n).. . . xx) n 
using the relation R(—r) = R(r). Here for the cross correlations, we use the shifted version 
of Ryx(r), as Ryx(0) is to be the maxima over the range r =—n to n, and for the auto cor- 
relation, the range 0 to 2n. The matrix on the right hand side of Eq. 3.9 is large on the 
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