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[STDS-802-16] subchannel is a 1 dimension or 2 dimension allocation unit?



Title: subchannel is a 1 dimension or 2 dimension allocation unit?

Dear all,
Based on discussion for AMC permutation and DL PUSC permutation these days, I'd like to speak out my doubts about the definition of subchannel in .16d/.16e Spec. here. Hope to get your opinion about this issue. Thanks~

I just want to confirm the Definition of Subchannel in spec. 
It is a 1 dimension allocation unit or 2 dimension allocation unit on earth? or it depends on different case?
 
For example: "Tile" in UL PUSC is a block with size of 4 subcarrier x 3 symbol, so we can regard it as a 2 dimension allocation unit. And totally there are 4*3=12 subcarrier per Tile in UL PUSC case. Actually "12" is some kind of logical number because only 4 physical subcarriers are allocated here. And also for subchannel in this case (6 Tiles make 1 subchannel), we say 48 data subcarriers per subchannel, which is also a kind of logical number, right?

 
But in DL FUSC case, seems subchannel is a 1 dimension allocation unit, because it has 48 physical subcarriers per subchannel (without consideration of time domain).

 
So totally, we can conclude the definition of subchannel of all cases as below:
DL FUSC/OFUSC: 1 dim. allocation unit with 48 subcarriers per subchannel
DL PUSC: 1 dim. concept if say 24 subcarriers or 2 dim. concept if say 48 subcarrier per subchannel
UL PUSC/OPUSC: 2 dim. allocation unit with totally 48 subcarriers per subchannel
AMC: 2 dim. allocation unit with 48 subcarriers per subchannel
 
I was perplexed by this problem for a long time, really hope you can help me to make this clear.
Thanks a lot in advance!
 
Hongmei SUN