## Question

“If only RS is transmitted (i.e., unloaded cell) the resulting sub-carrier activity factors would be x = 1/6 and x = 1/3 for one and two transmit antennas, respectively” is there any formula about it?

## Answer

The** Sub-Carrier Activity Factor** is a parameter to characterize the total amount of cell received power on the number of transmitted sub-carriers in the OFDM symbol carrying Reference Signal Power an on the other number of transmit antennas.

This impact can be expressed by:

*x* is defined as the **Sub-Carrier Activity Factor**

In the following figure, this *RE*s are denoted with *RE0*. *To improve the accuracy of the RSRP estimate, the UE may optionally also measure the RS transmitted from the second antenna port (RE1), if present. *In case of four BTS transmit antennas, Reference Signals of the third and fourth BTS antenna ports are not used in the RSRP measurement.

Since all LTE UEs have at least two receive antennas, it is also mandated by that the RSRP must be equal or higher than the stronger of the two receive antennas’ individual measured RSRP.

X is defined as

where RE indicates number of RE used and RB is equal to 12 RE.

So we have:

*x*= 1 indicates full load. It means that all sub-carriers of one transmit antenna are transmitted for the OFDM symbol carrying*RE0*.- If only RS (Reference Signal) is transmitted (i.e., unloaded cell) the resulting sub-carrier activity factors would be
*x*= 1/6 for one transmit antenna*x*= 1/3 for two transmit antennas

##### Figure 1: Reference Signals as seen by UE, shown for transmit antenna port 1 (RE0) and

##### transmit antenna port 2 (RE1) for one 1ms sub-frame and 12 sub-carriers.

When calculating *x *for two transmit antennas, one should take into account that REs overlapping with adjacent antenna RS transmission are muted, and therefore, for example, in a fully loaded 2Tx cell the scaling factor is *x *= 5/3, instead of two (It is assumed that all sub-carriers have the same power, i.e., there is no power boosting for any channel.)