348 Lecture 18 
Fig. 18.4. Space processor for Gauss—Markov perturbed signal wavefront inGauss— 
Markov noise. 
case corresponds to the conditions p,=0=p, and of >oy,. As an intermediate 
example, for p,=1, py =0, and o2 = oy, the amplification factors become: 
In Table 18.1, values of the amplification factors for the processor of Fig. 4 
are given, where 
Ps = normalized correlation of signal perturbations between adjacent hy- 
drophones 
py = normalized noise correlation between hydrophones 
a= power of signal perturbations 
oy = Noise power at one hydrophone 
oy = of + on 
_ Pss + won 
RiSNi- pasos sone 
Os + On 
In these examples, previously developed space and time processing, such as 
pattern formation and cross correlation, have been related to novel space proc- 
essing through inclusion in the general framework of space—time decision 
theory. The purpose of these few examples is to suggest the utility of this 
framework as a logically developed and heuristic guide to processor design and 
efficiency—that is, to space—time processor research. 
