The determination of [A. ( “,0)1°3 solution 
ny 
For convenience in notation let ae be defined by equation 
(10.60) and vy, by equation (10.61). These are the cutoff values 
of the spectral wave frequencies and the spectral wave number. 
If there is no aliasing for mw greater than Ho then the largest 
spectral wave number which can be observed is v 
@ 
Then for m lags of 7)(t), m+ 1 values of Ke can be 
found as given by equation (10.62). These values will be desig- 
nated by A(h) as h runs from 0 to m for simplicity of notation 
as given by equation (10.63). (ACH, hy 3° is given by equation 
(10.35) after the use of equations (10.30), (10.31), and (10.32). 
It is possible to pick 2q + 1 directions for 6* as given by 
equation (10.64), and 9* can be designated by rj*/2q as j* is 
sumied from minus q to plus q as shown by equation (10.65). The 
6* are equally spaced angular values above and below © equal to 
zero. 
For each value of ©*, the stationary series which is observed 
can be analyzed by numerical methods exactly like eauations (10.30), 
(10.31), and (10.32). The space separation of points in the series 
is given by A X, equals (2 At)°2/2r. For each value of ©0*, that 
is for j* fixed, the power in m+ 1 bands of the ue axis can be 
estimated. Values of the form [A( Ve a, Ti*/2q) 1°, can be obtained. 
These values will be designated by A(h',j*) as h' runs from zero 
to m for simplicity as given by equation (10.67). 
From equation (10.63), m+ 1 numbers are the result. From 
equation (10.67),(2q + 1)(m + 1) numbers are the result since j* 
ranges from minus q to plus q, but for j* equal to plus and minus 
=E2Q7m= 
