The phrase "at user k" is correct and usable in written English.
It can be used in contexts related to computing, programming, or user-specific instructions, typically to refer to a specific user identified by "k."
Example: "The system will log the actions taken at user k to ensure accountability."
Alternatives: "for user k" or "regarding user k".
Thus, the expected rate of information successfully decoded at user k on subcarrier n is.
The received signal at user k is y k = h k † ∑ k = 1 K p k w k s k + n k (6).
where H k,s and N k,s are the NR× NT channel frequency response matrix and noise-plus-interference power at user k and subchannel s, respectively.
Finally, the estimated result at user k is get, through the hard decision for the received symbol ( {overline{overline{boldsymbol{y}}}}_{mathtt{k}} ).
The received signal at user k is the superposition of the signals from all transmitted users, which is boldsymbol{r}_{k} = sum_{j=1}^{K} h_{k,j} boldsymbol{s}_{j} + boldsymbol{v}_{k}.
The baseband equivalent representation of the received signal at user k is expressed as: y_{k} = boldsymbol{h}_{k}^{H} boldsymbol{x} + n_{k}, forall k, (1) Fig. 1 The multiuser MISO downlink model.
The signal received at user-k is begin{aligned} y_{k}&=mathbf{{h}}_{k}^{H}mathbf{{x}}+n_{k}, forall k in mathcal{K} end{aligned} (1).
Denote (s_{pi _{2,k}{(i)}}) as the ith data stream to be decoded at user-k based on the decoding order π2.
The l-order stream vector to be decoded at user-k based on a certain decoding order π l is (mathbf {s}_{pi _{l,k}}=left [s_{pi _{l,k}{(1)}},cdots,s_{pi _{l,k}{(|mathcal {S}_{l,k}|)}}right ]^{H}), where (mathcal {S}_{l,k}={s_{mathcal {A}|mathcalal {A}'subseteq mathcal {K},|mathcal {A}'|=l,kin mathcal {A}'}) is the set of l-order streams to be decoded at user-k.
At each user k, each antenna j feeds the index F[k, j]of the ω vectors that is closest (in term of its angle) to its channel vector.
The signal-to-interference-plus-noise ratio (SINR) measured at the user k associated with BS j can be expressed for all j ∈ M and k ∈ K as follows: SINR j, k = h j, k · P s k σ 2 + ∑ l ≠ k h j ′, k · P s l · f s k, s l, (1).
