
420
LP. Kirsteins and D. W. Tufts
(0"2) 2 []d[[~
0"k
where a- VmE~ "1UTy, c = UTs and d = Ufs.
(19)
3.2.2 Signal Plus Noise Case
Here we assume that the data vector
~rK+ 1
is of the form
YK+~ = y + s + n (20)
The moments are:
C[z] - Ildll~
c [(z- IId,, ) ]
(21)
__ ~2 (lldll~ll-II~ +
Ildll~
+ 411dll~-TvorTXe + 411dl12eTr72e)
)
+(0"2) 2
IIUrsll~, ~ + (n- r)llV~;;XclJ~. (22)
The formulas for the moments of the detection test statistic for cases (1) and (2) above
can be used to compare the differences in performance between the two cases.
4 COMPARISON OF THE PCI AND SMI METHODS
We now ...