P. L. Stocklin 349 
Table 18.1. List of Values of Amplification Factors for Spatial 
Likelihood-Ratio Processor of Fig. 18.4 
Process amplified 
Squaring of individual hydrophone 
outputs, followed by summation— 
essentially, spatial incoherent 
processing 
(1 + pew) », Os pn) 
208n(1— psy) 20 (1 - py) 
Classic pattern formation—essen- 
2 
pee SNe 
tially, spatial coherent processing 
oSn (1 — psy) 
Pair-wide multiplication of hydro- 
phone outputs—related to un-nor- 
malized interhydrophone correla - 
tion of signal perturbations 
aE ea ee ee 
os (1—psn) on (1 - pp) 
Offset pattern formation—related 
to both noise and signal interele- 
ment hydrophone correlations 
2 Psn. 
2 
oSn (1 — psy) 
REFERENCES 
1, W.W. Peterson, T.G. Birdsall, and W.C. Fox, "The Theory of Signal Detectability,"” Trans. IRE, PGIT- 
4, 171 (September, 1954). 
2. P.L. Stocklin, "Limits of Measurement of Acoustic Wave Fields," manuscript submitted for publication, 
J. Acoust. Soc. Am. 
3. D. Van Meter and D. Middleton, "Detection and Extraction of Signals in Noise from the Point of View of 
Statistical Decision Theory. Part I," J. Soc. Ind. Appl. Math., Vol. 3, No. 4, 241 (December, 1955). 
