o→o /936 -909 1 a122 学亚-9回9 Pick a peDlGiD largest 平口9g9 a1/2o2 婴-099 a DEOD/GiD UESTC Figure 7.4."Low-snr"square-law noncoherent detector with diversity 11
11 UESTC 2 2 zi i →
7.2.2 Linear Processing If a value x is very large (high SNR),then lnI(x)≈x (7.14) i=0,1,(=1,.,D And: D h以=n（倒-，-立4 7 (7.8) 0=1 D UESTC 12
12 UESTC 2 2 2 1 y , 0,1, 1, , k i j ij i j u i D = U − = = 7.2.2 Linear Processing If a value x is very large (high SNR), then 0 ln ( ) (7.14) I x x 1 0 1 1 0 0 1 1 ( ) ln ( ) ln ln (7.8) ( ) D D D B D p y L y U U p y = = = = − And:
7.3 Unknown phase and amplitude We start by rewriting Eq.(7.6)to explicitly show the dependence on the unknown amplitudes: p0例列a.0-iere脚2a-TL-uy） where a represents vector of D unknown amplitudes 空x小即经2小a则 (7.16) UESTC 13
13 7.3 Unknown phase and amplitude UESTC 2 2 1 1 1 ( | , ) exp [ ] [ ] (2 ) 2 D j j T i p i i k p y y u e y u e − = = − − − We start by rewriting Eq.(7.6) to explicitly show the dependence on the unknown amplitudes: where represents vector of unknown amplitudes. D 2 2 2 1 1 2 2 0 2 2 1 1 1 1 ( | ) exp | | (2 ) 2 exp | | , 0,1 (7.16) 2 D k i j k j k k j ij ij j j p y y I y u u i = = = = = − − =