Bit Asynchronous example

  
Figure 2.2: A two user system with spreading gain L=6 and observation interval 2T at n=0. The users are bit asynchronous but chip synchronous. Notice how three bits from each user, , , and , affect the observation interval

In the system described by figure 2.2, there are two bit asynchronous users with spreading gain of L=6. So define,

From the figure, we can see that each user has three contributing bits over the observation period. We would like to demodulate user one, so . For user 1 we have,


and for user 2 we have,


So the received vector over interval n=0 is