Chapter 7 Multiple pulse detection with random parameters UESTC 1
1 UESTC Chapter 7 Multiple pulse detection with random parameters
Hypothesis Ho Hypothesis H Do Pulses D Pulses or channels or channels Each channel output Each channel output y(()=aoce/mo-ouo (-to)+z). ye(()=avehe-u (-t+), e=1,..,D0 €=1.，D1 Detector Figure 7.1.Conceptual depiction of multiple pulses arriving at detector Model the complex continuous measurements under hypothesis H,and during pulse number e as y,(0）=ae2+8'4,(t-te)+z(),i=0,l=l,,D,(7.1) UESTC 2
2 UESTC (2 ) ( ) ( ) ( ), 0,1, =1 (7.1) i i j t i i i i i t e u t t i D + = − + = f y t z ， ， Model the complex continuous measurements under hypothesis and during pulse number as Hi
7.1 Chapter highlights Pulse number is D Hypothesis Ho D=D1=Do Detector Pulses or channels Hypothesis H Figure 7.2.Conceptual depiction of multiple pulses arriving at detector(Do =D) Consider the situation in Figure 7.2,we have ye()=a,e2t+'4,(t-t)+z(),i=0,l,(=l,,D (7.2) Sampling ye0.1.j=1.. =1.,D(7.3) UESTC where uy (t)=u,(tit) 3
3 7.1 Chapter highlights Consider the situation in Figure 7.2, we have UESTC (2 ) ( ) ( ) ( ), 0,1, =1 (7.2) j t i t e u t t i D + = − + = f y t z ， ， (2 ) ( ) , 0,1, 1, , , =1 (7.3) j j t j ij j e u t i j k D + = + = = f y z ， ， ( ) ( ) ij i j where u t u t t = − Sampling Pulse number is D
In Radar Case:Multiple pulse accumulation In communication case: Different channel,Diversity Noncoherent accumulation: Each pulse contains a different and unknown phase. UESTC 4
4 • In Radar Case: Multiple pulse accumulation • In communication case: Different channel, Diversity • Noncoherent accumulation: Each pulse contains a different and unknown phase. 4 UESTC
·Unknown phase Unknown phase and amplitude Diversity approaches and performances UESTC 5
5 • Unknown phase • Unknown phase and amplitude • Diversity approaches and performances 5 UESTC