On the Asymptotic Sum Rate of Downlink Cellular Systems With Random User Locations

We consider a downlink cellular communication system with a multi-antenna base station (BS). A regularized zero forcing precoder is employed at the BS to manage the inter-user interference within the cell. Using methods from random matrix theory, we derive a deterministic approximation for the achie...

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Veröffentlicht in:IEEE wireless communications letters Jg. 4; H. 3; S. 333 - 336
Hauptverfasser: Girnyk, Maksym A., Muller, Axel, Vehkapera, Mikko, Rasmussen, Lars K., Debbah, Merouane
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Piscataway IEEE 01.06.2015
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
IEEE comsoc
Schlagworte:
Authentication
Availability
Cellular system
Data privacy
Deterministic approximation
Encryption
Engineering Sciences
Finite-sized systems
Indexes
Inter-user interference
Mathematics
Mobile security
Mobile telecommunication systems
Multi antennas
Precoder matrix
Protocols
Random matrix theory
Random users
Random variables
Statistics
Cellular networks
linear precoding
random matrix theory
downlink
broadcast channel
ISSN:2162-2337, 2162-2345, 2162-2345
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Abstract We consider a downlink cellular communication system with a multi-antenna base station (BS). A regularized zero forcing precoder is employed at the BS to manage the inter-user interference within the cell. Using methods from random matrix theory, we derive a deterministic approximation for the achievable ergodic sum rate, taking into account the randomness from both fading and random user locations. The obtained approximation describes well the behavior of finite-sized systems and enables efficient optimization of the precoder matrix.
AbstractList We consider a downlink cellular communication system with a multi-antenna base station (BS). A regularized zero forcing precoder is employed at the BS to manage the inter-user interference within the cell. Using methods from random matrix theory, we derive a deterministic approximation for the achievable ergodic sum rate, taking into account the randomness from both fading and random user locations. The obtained approximation describes well the behavior of finite-sized systems and enables efficient optimization of the precoder matrix.
We consider a downlink of a cellular communication system with a multi-antenna base station (BS). A regularized zero forcing (RZF) precoder is employed at the BS to manage the inter-user interference. Using methods from random matrix theory, we derive an asymptotic approximation for the achievable ergodic sum rate, taking into account the randomness from both fading and random user locations. The obtained deterministic approximation describes well the behavior of finite-sized systems and enables computationally efficient optimization of the RZF precoder matrix. I. PRELUDE Multiple-input multiple-output (MIMO) transmission can significantly increase the performance of a communication system [1] and is therefore seen as a potential building block for future mobile communications. Nowadays, multiple antennas are widely deployed at base stations (BSs) in current cellular systems, which makes MIMO a particularly attractive solution. Multiuser multiple-input single-output (MISO) broadcast setting, where a multi-antenna BS communicates to a set of single-antenna mobile terminals (MTs) through the downlink channel, provides an efficient means to deal with such limiting factors as correlation and line-of-sight components [2]. At the same time, such an approach suffers from inter-user interference. It is the mitigation of the latter that motivates the use of spatial precoding at the BS. It is known that the sum capacity of Gaussian broadcast vector channels can be achieved by the so-called dirty-paper coding (DPC) scheme [3], [4]. This precoding scheme is, however , computationally infeasible in current real-world systems. Regularized zero forcing (RZF) precoding serves as a more plausible alternative with close to optimal performance [5]. Due to the particular structure of the corresponding precoder matrix, this scheme turns out to be suitable for analysis using methods from large-dimensional random matrix theory [6]. The setup has been extensively studied in [7], [6, Ch. 14]. The analysis is further generalizable, e.g., to the multi-cell setting [8] and to broadcasting with confidential messages [9]. Usually, the analysis of MIMO channels is done based on the assumption of deterministic user placement. This is, however , rarely the case in practice. The MTs are typically freely moving, randomly changing the underlying network topology, which, in turn, influences the performance of the system. To account for random user locations in the uplink scenario, [10] proposes to combine the random-matrix analysis with the methods of stochastic geometry [11]. Namely, the positions of the MTs are assumed to be sampled from an independent spatial point process and the corresponding performance metric is BS MT 1 MT 2 MT K −1
Author Girnyk, Maksym A.
Vehkapera, Mikko
Rasmussen, Lars K.
Muller, Axel
Debbah, Merouane
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  organization: France Res. Centre, Huawei Technol. Co., Ltd., Paris, France
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Issue 3
Keywords Cellular networks
linear precoding
random matrix theory
downlink
broadcast channel
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Snippet We consider a downlink cellular communication system with a multi-antenna base station (BS). A regularized zero forcing precoder is employed at the BS to...
We consider a downlink of a cellular communication system with a multi-antenna base station (BS). A regularized zero forcing (RZF) precoder is employed at the...
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StartPage 333
SubjectTerms Authentication
Availability
Cellular system
Data privacy
Deterministic approximation
Encryption
Engineering Sciences
Finite-sized systems
Indexes
Inter-user interference
Mathematics
Mobile security
Mobile telecommunication systems
Multi antennas
Precoder matrix
Protocols
Random matrix theory
Random users
Random variables
Statistics
Title On the Asymptotic Sum Rate of Downlink Cellular Systems With Random User Locations
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