Downlink Beamforming Design for Full Sample Clauses

Downlink Beamforming Design for Full. Cooperation Mul- tiuser C-RANs‌ Let consider a green C-RAN system that consists of a BBU pool, N RRHs, each is equipped with M antennas and installed with a renewable energy harvesting de- vice, and Ki single antenna information-receiving terminals (ITs). Furthermore, let Lb = {1,··· , N} and Li = {1,··· , Ki}, respectively, indicate the set of indexes of the RRHs and the ITs in the green C-RAN system. Let wni ∈ CM×1 be the beam- forming vector formed by the n-th RRH towards the i-th receiving terminal, i ∈ Li. We view all N RRHs of the C-RAN as a single virtual RRH and formulate the prob- lem from the perspective of sparse optimisation. The antennas of the virtual RRH can be partitioned into N groups, each corresponding to an individual RRH. Let 1i Ni wi = [wH,··· , wH ]H ∈ CMN×1 indicate the beamforming vector formed by the vir- n1 nKi tual RRH towards the i-th receiving terminal. Let wn = [wH , · · · , wH ]H ∈ CMN×1 denote the beamforming vector formed by the n-th RRH towards the all of the Ki receiving terminals in the C-RAN system. The requirement that some RRHs may not participate in a transmission towards the i-th receiving terminal, due to some en- ergy restrictions, translates to the group sparse structure of the virtual beamformer, i.e., wi. That is, if wni = 0, then the n-th RRH is not participating in serving the i-th receiving terminal. Similarly, inserting wni = 0 in wn means that the i-th receiving terminal is not served by the n-th RRH, due to shortage of energy budget at the n-th RRH. For a full cooperation system configuration, all the beamformers from the RRHs in a C-RAN are participating in serving all the receiving terminals, as il- lustrated in Figure 2.8. Mathematically, in this configuration, wni /= 0, ∀n ∈ Lb, ∀i ∈ Li. Let hn,i ∈ CM×1 denote the channel vector between the n-th RRH and the i-th receiving terminal. Then, the received signals at the i-th receiving terminal, i ∈ Li in a C-RAN downlink network, i.e., yi ∈ C can be expressed as i yi = hHwisi + ∑ j=Xx, x hHw js j + ni, (2.14) i 1i Ni where hi = [hH,··· , hH ]H ∈ CMN×1 denotes the overall channel vector from the i virtual RRH to the i-th receiving terminal, si ∼ CN(0, 1) is the intended symbol for the i-th receiving terminal and ni ∼ CN(0, σ 2) is the zero-mean circularly symmet- ric complex Gaussian (ZMCSCG) noise. The terms at the right hand side of (2.14), respectively, represent the intended information-carrying signal for the i-th IT, the inter-user interference cause...
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