Is there any way to recover Channel Matrix from CSI report in 5G FR2?

5G NR
1

Hi Everyone.

I just wonder is there any way to recover Channel Matrix from CSI report in 5G FR2?

https://www.sharetechnote.com/html/5G/5G_CSI_Report.html#RRC_p0alpha

2

I think just PMI that is reported to gNodeB.

But in TDD gNodeB can get the exact channel matrix based on SRS measurements.

3

I thought so, but just wonder from these reports (RI, PMI, SINR, etc) can we some recover / estimate the matrix (even through manual calculation).

I found that we can actually do that for precoding matrix W:

https://www.sharetechnote.com/html/5G/5G_CSI_RS_Codebook.html#Ref_13

But have no luck for channel matrix H…

4

But if you know W, then new air interface matrix will be the diagonal matrix with 1.

SVD decomposition of H matrix.

5

Oh really?

Excuse my lack of knowledge in comm theory… Is there any tutorial on this?

So we can just assume HW = I if I did not misunderstand?

6

Any matrix can be decomposed in a product of 3 matrixes.

Search for “SVD matrix decomposition”.

7

I know what SVD is, but I think there may be some confusion, H can be decomposed into followed:

H

And W can be constructed using this
but the other way around with W, we cannot really find H, unless I am missing something

W

8

Yes indeed, from W we can not get H.

It is UE only that knows H.