Abstract:Hybrid precoders, consisting of an analog hardware-constrained part operating at radio frequency (RF) and a digital part operating at baseband, reduce the RF implementation complexity and power consumption of multi-antenna transceivers, at the expense of some rate loss compared to an all-digital precoder. The analog and digital parts of the hybrid precoder are commonly designed by performing a constrained matrix decomposition (MD) of the all-digital precoder, which aims to minimize the Euclidean distance betwe… Show more
“…Several approaches for designing hybrid beamformers have been considered in the literature (e.g., [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23]).…”
Section: B Literature Overviewmentioning
confidence: 99%
“…All papers discussed up to this point propose a heuristic optimization of the hybrid beamformer. In contrast, [9], [10], [20], [21], [22], [23] aim to directly maximize the performance metric of interest. In [20], the mutual information in a SU-MIMO-SC system is maximized under a UM constraint on the analog beamformer; however, this approach is suitable only for the SU scenario, in which case there is no interuser interference (IUI) to deal with.…”
Section: B Literature Overviewmentioning
confidence: 99%
“…In [20], the mutual information in a SU-MIMO-SC system is maximized under a UM constraint on the analog beamformer; however, this approach is suitable only for the SU scenario, in which case there is no interuser interference (IUI) to deal with. In [9] and [10], the SE and WSR in a downlink MU-MISO-OFDM system are maximized over the hybrid precoder for an analog precoder with a UM constraint and/or a connectivity constraint. To make the optimization more tractable, [10] considers zeroforcing (ZF) precoding, so that IUI is eliminated.…”
Section: B Literature Overviewmentioning
confidence: 99%
“…In [9] and [10], the SE and WSR in a downlink MU-MISO-OFDM system are maximized over the hybrid precoder for an analog precoder with a UM constraint and/or a connectivity constraint. To make the optimization more tractable, [10] considers zeroforcing (ZF) precoding, so that IUI is eliminated. In addition to the ZF condition, [9] also imposes the same signal-to-noise ratio (SNR) on all subcarriers for all users, in which case the optimization simplifies to the maximization of the common SNR.…”
Section: B Literature Overviewmentioning
confidence: 99%
“…Although variablegain amplifiers can also be avoided without imposing a UM constraint by adopting a double-phase-shifter implementation [5], [6], the UM constraint gives rise to a singlephase-shifter implementation, which requires only half the number of phase shifters compared to the double-phaseshifter implementation. The connectivity constraint further reduces the number of required RF components by limiting the number of connections between the antennas and RF chains, i.e., each antenna is connected to only a subset of RF chains [6], [7], [8], [9], [10].…”
In multi-antenna transceivers with all-digital beamforming, the number of radio frequency (RF) chains necessarily equals the number of antennas, which entails a large hardware complexity and power consumption when deploying large antenna arrays. Hybrid beamforming, which splits the beamforming into an analog part operating at RF and a digital part operating at baseband, allows using as few RF chains as the number of data streams. A further reduction in the RF hardware cost is achieved by imposing additional constraints on the analog beamformer, such as single-phase-shifter implementation and limited connectivity between the RF chains and antennas. In this contribution we consider a downlink multi-user MISO OFDM communication system and present a novel approach for obtaining the linear hybrid precoder that maximizes the weighted sumrate (WSR) under the above constraints on the analog part. Unlike the WSR maximizing hybrid precoders from the literature, our approach exploits the uplink-downlink duality and performs a gradient-based optimization over a suitable manifold which describes the search space as determined by the imposed constraints. The proposed approach gives rise to a WSR maximizing precoder with a better trade-off between performance and computational complexity compared with WSR maximizing precoders from the literature. From this WSR maximizing precoder, two reduced-complexity heuristic precoders are derived, which outperform state-of-the-art heuristic precoders from the literature, in terms of spectral efficiency and/or computational complexity. The performance of the WSR maximizing precoder provides a useful theoretical benchmark for any heuristic precoder with the same constraints on the analog part.
“…Several approaches for designing hybrid beamformers have been considered in the literature (e.g., [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23]).…”
Section: B Literature Overviewmentioning
confidence: 99%
“…All papers discussed up to this point propose a heuristic optimization of the hybrid beamformer. In contrast, [9], [10], [20], [21], [22], [23] aim to directly maximize the performance metric of interest. In [20], the mutual information in a SU-MIMO-SC system is maximized under a UM constraint on the analog beamformer; however, this approach is suitable only for the SU scenario, in which case there is no interuser interference (IUI) to deal with.…”
Section: B Literature Overviewmentioning
confidence: 99%
“…In [20], the mutual information in a SU-MIMO-SC system is maximized under a UM constraint on the analog beamformer; however, this approach is suitable only for the SU scenario, in which case there is no interuser interference (IUI) to deal with. In [9] and [10], the SE and WSR in a downlink MU-MISO-OFDM system are maximized over the hybrid precoder for an analog precoder with a UM constraint and/or a connectivity constraint. To make the optimization more tractable, [10] considers zeroforcing (ZF) precoding, so that IUI is eliminated.…”
Section: B Literature Overviewmentioning
confidence: 99%
“…In [9] and [10], the SE and WSR in a downlink MU-MISO-OFDM system are maximized over the hybrid precoder for an analog precoder with a UM constraint and/or a connectivity constraint. To make the optimization more tractable, [10] considers zeroforcing (ZF) precoding, so that IUI is eliminated. In addition to the ZF condition, [9] also imposes the same signal-to-noise ratio (SNR) on all subcarriers for all users, in which case the optimization simplifies to the maximization of the common SNR.…”
Section: B Literature Overviewmentioning
confidence: 99%
“…Although variablegain amplifiers can also be avoided without imposing a UM constraint by adopting a double-phase-shifter implementation [5], [6], the UM constraint gives rise to a singlephase-shifter implementation, which requires only half the number of phase shifters compared to the double-phaseshifter implementation. The connectivity constraint further reduces the number of required RF components by limiting the number of connections between the antennas and RF chains, i.e., each antenna is connected to only a subset of RF chains [6], [7], [8], [9], [10].…”
In multi-antenna transceivers with all-digital beamforming, the number of radio frequency (RF) chains necessarily equals the number of antennas, which entails a large hardware complexity and power consumption when deploying large antenna arrays. Hybrid beamforming, which splits the beamforming into an analog part operating at RF and a digital part operating at baseband, allows using as few RF chains as the number of data streams. A further reduction in the RF hardware cost is achieved by imposing additional constraints on the analog beamformer, such as single-phase-shifter implementation and limited connectivity between the RF chains and antennas. In this contribution we consider a downlink multi-user MISO OFDM communication system and present a novel approach for obtaining the linear hybrid precoder that maximizes the weighted sumrate (WSR) under the above constraints on the analog part. Unlike the WSR maximizing hybrid precoders from the literature, our approach exploits the uplink-downlink duality and performs a gradient-based optimization over a suitable manifold which describes the search space as determined by the imposed constraints. The proposed approach gives rise to a WSR maximizing precoder with a better trade-off between performance and computational complexity compared with WSR maximizing precoders from the literature. From this WSR maximizing precoder, two reduced-complexity heuristic precoders are derived, which outperform state-of-the-art heuristic precoders from the literature, in terms of spectral efficiency and/or computational complexity. The performance of the WSR maximizing precoder provides a useful theoretical benchmark for any heuristic precoder with the same constraints on the analog part.
To satisfy the capacity requirements of future mobile systems, under-utilized millimeter wave frequencies can be efficiently exploited by employing massive multiple input-multiple output (MIMO) technology with highly directive beamforming. Hybrid analog-digital beamforming has been recognised as a promising approach for large-scale MIMO implementations with a reduced number of costly and power-hungry radio frequency (RF) chains. In comparison to fully connected architecture, hybrid beamforming (HBF) with partially connected RF architecture is particularly appealing for the practical implementation due to less complex RF power division and combining networks. In this paper, we first formulate single- and multi-user rate maximization problems as weighted minimum mean square error (WMMSE) and derive solutions for hybrid beamformers using alternating optimization. The algorithms are designed for the full-array- and sub-array-based processing strategies of partially connected HBF architecture. In addition, we propose lower complexity sub-array-based zero-forcing algorithms. The performance of the proposed algorithms is evaluated in two different channel models, a simple geometric model and a realistic statistical model. The performance results of the WMMSE HBF algorithms are meant to reveal the potential of partially connected HBF and serve as upper bounds for lower complexity methods. Numerical results imply that properly designed partially connected HBF has the potential to provide an good compromise between hardware complexity and system performance in comparison to fully digital beamforming.
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