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NOMA Empowered Integrated Sensing and Communication.
文章目录
- Model
- Communication Model
- Sensing Model
- Problem Formulation
- Solution
Model
Dual-functional base station (BS) equipped with an N N N-antennas uniform linear array (ULA).
Communication Model
- K = { 1 , … , K } \mathcal{K}=\{1,\ldots,K\} K={1,…,K}: K K K single-antenna
usersindexed. - M = { 1 , … , M } \mathcal{M}=\{1,\ldots,M\} M={1,…,M}: M M M radar
targetsindexed. - w i s i for ∀ i ∈ K \mathbf{w}_is_i\text{ for }\forall i\in\mathcal{K} wisi for ∀i∈K: where w i ∈ C N × 1 \mathbf{w}_i\in\mathbb{C}^{N\times1} wi∈CN×1 are
beamformersfor delivering the information symbol s i s_i si to user i i i. BS transmits the superimposed signals to all users in downlink. - y k = h k H ∑ i ∈ K w i s i + n k = ∑ i ∈ K h k H w i s i + n k y_k=\mathrm{h}_k^H\sum_{i\in\mathcal{K}}\mathrm{w}_is_i+n_k=\sum_{i\in\mathcal{K}}\mathrm{h}_k^H\mathrm{w}_is_i+n_k yk=hkH∑i∈Kwisi+nk=∑i∈KhkHwisi+nk: the received signal y k y_k yk at user k k k. where h k = Λ k − 1 / 2 h ~ k , ∀ k ∈ K \mathrm{h}_k=\Lambda_k^{-1/2}\widetilde{\mathsf{h}}_k,\forall k\in\mathcal{K} hk=Λk−1/2h k,∀k∈K denotes the BS-user channel, Λ k − 1 / 2 \Lambda_k^{-1/2} Λk−1/2 and h ~ k ∈ C N × 1 \widetilde{\mathbf{h}}_k\in\mathbb{C}^{N\times1} h k∈CN×1 denote the large and small scale fading, respectively, and n k n_k nk denotes the circularly symmetric complex Gaussian noise with variance σ n 2 . \sigma_n^2. σn2.
- Λ 1 − 1 ≤ Λ 2 − 1 ≤ ⋯ ≤ \Lambda _1^{- 1}\leq \Lambda _2^{- 1}\leq \cdots \leq Λ1−1≤Λ2−1≤⋯≤ Λ K − 1 . \Lambda _K^{- 1}. ΛK−1. We assume that the users’ indexes are in an increasing order with respect to their large-scale channel strength.
- R k → k = log 2 ( 1 + ∣ h k H w k ∣ 2 ∑ i ∈ K , i > k ∣ h k H w i ∣ 2 + σ n 2 ) R_{k\to k}=\log_2\left(1+\frac{|\mathrm{h}_k^H\mathrm{w}_k|^2}{\sum_{i\in\mathcal{K},i>k}|\mathrm{h}_k^H\mathrm{w}_i|^2+\sigma_n^2}\right) R
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