## Uplink Power Control Calculation in LTE

**Transmit power of PUSCH**

in subframe i is defined by

PPUSCH (i) = min{PMAX,10 log10 (MPUSCH (i)) + PO_PUSCH ( j) +α ( j) ⋅ PL + ΔTF (i) + f (i)} [dBm]

Pmax: max. allowed power,

MPUSCH: number of scheduled RBs,

PL: pathless [dB].

ΔTF (i) = 10 log 10 (2MPR Ks– 1) for Ks = 1.25 else 0,

MPR = TBS/NRE, NRE : number of Res,

UE specific, Ks defined by **deltaMCS-Enabled,**

PO_PUSCH(j) = PO_NOMINAL_PUSCH(j) + PO_UE_PUSCH(j).

semi-persistant / dynamic grant; j=0 / j=1:

PO_NOMINAL_PUSCH(j): cell specific

PO_UE_PUSCH(j): UE specific

α (0,1) = 0.0, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0

**Random access grant; j=2:**

PO_UE_PUSCH(2) = 0

PO_NOMINAL_PUSCH(2) = PO_PRE + ΔPreamble_Msg3

α (2) = 1

**The closed loop part is given by:**

f(i) = f(i-1) + δPUSCH (i – KPUSCH)

or

f(i) = δPUSCH (i – KPUSCH)

where δPUSCH is the signaled TPC.

wheter the recursive or absolute method is to be applied -> given by the parameter

Accumulation-enabled

**Power headroom:**

( ) {10log ( ( )) ( ) ( ) ( )} MAX 10 PUSCH O_PUSCH TF PH i = P − M i + P j +α ⋅ PL + Δ i + f i [dB]

**Transmit power of PUCCH**

is determined in a similar manner. However the open loop part is always fully applied.