I have a multiuser uplink signal $$ Y=h_1x_1+h_2x_2$$ where, $h_1$ and $h_2$ are channels for user 1 and user2 respectively. At the receiver how can I equalize the signal $Y$, assuming known $h_1$and $h_2$.

  • $\begingroup$ Is this a homework question? $\endgroup$
    – MBaz
    Commented Jan 12 at 14:57
  • $\begingroup$ No, it's not a homework question. I was working on a Power domain NOMA for two users in downlink. Now I want to do it for the uplink case. In downlink the equalization is simple, however, in uplink, I am confused about how to consider both h1 and h2 for equalization. $\endgroup$
    – Digi1
    Commented Jan 12 at 15:13
  • $\begingroup$ Could you add more details about what the difficulty is? $\endgroup$
    – MBaz
    Commented Jan 12 at 15:24
  • $\begingroup$ Like in downlink, we have y=(x1+x2)*h. So we equalize as y_eq=y./h=(x1+x2)h/h=x1+x2. Now in uplink we have y=(x1h1+x2h2). Should I divide by h1,h2 or h1+h2. In any case I can't get back x1+x2. $\endgroup$
    – Digi1
    Commented Jan 12 at 15:44
  • 1
    $\begingroup$ Do you know anything about x1 and x2? Otherwise, you may need to estimate x1 with h2x2 as noise, and then estimate h2. Not an expert on this topic, but I think the CM algorithm is used for blind equalization as well; it has been adapted to the multiuser case as well. $\endgroup$
    – MBaz
    Commented Jan 12 at 16:18


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