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Uplink Achievable Rate for Massive MIMO with Low-Resolution ADC (1512.00658v1)

Published 2 Dec 2015 in cs.IT and math.IT

Abstract: In this letter, we derive an approximate analytical expression for the uplink achievable rate of a massive multi-input multi-output (MIMO) antenna system when finite precision analog-digital converters (ADCs) and the common maximal ratio combining technique are used at the receivers. To obtain this expression, we treat quantization noise as an additive quantization noise model. Considering the obtained expression, we show that low-resolution ADCs lead to a decrease in the achievable rate but the performance loss can be compensated by increasing the number of receiving antennas. In addition, we investigate the relation between the number of antennas and the ADC resolution, as well as the power-scaling law. These discussions support the feasibility of equipping highly economical ADCs with low resolution in practical massive MIMO systems.

Citations (306)

Summary

  • The paper derives an approximate uplink rate model using an additive quantization noise approach for massive MIMO with low-resolution ADCs.
  • Simulations confirm that increasing the number of antennas can mitigate performance losses caused by ADC limitations.
  • The analysis identifies a saturation point in sum-rate improvements, indicating diminishing returns beyond a certain ADC resolution.

Uplink Achievable Rate for Massive MIMO Systems with Low-Resolution ADC

The paper "Uplink Achievable Rate for Massive MIMO Systems with Low-Resolution ADC" explores the performance implications of using low-resolution analog-to-digital converters (ADCs) in massive multi-input multi-output (MIMO) systems. Such systems are anticipated to be integral to the 5G mobile networks due to their potential to significantly enhance both spectral and energy efficiency. The central focus of this paper is the derivation of an approximate analytical expression for the uplink achievable rate under the constraints of finite precision ADCs using maximal-ratio combining (MRC) techniques.

Key Contributions and Methodology

The paper introduces an additive quantization noise model (AQNM) to characterize the quantization process inherent in low-resolution ADCs. Under this model, quantization noise is treated as additive noise, which permits a comprehensive analytical investigation into the rate performance of these systems. The work presents a tight approximation for the achievable uplink rate, taking into account imperfect quantization and demonstrating that performance loss due to low-resolution ADCs can be mitigated by increasing the number of antennas at the base station (BS).

The derivation involves a multi-user MIMO system configuration where a base station with an array of MM antennas serves NN single-antenna user terminals. The paper further explores the interaction between system parameters, such as ADC resolution and antenna configuration, and their collective impact on system performance. The approximation formula derived aligns closely with existing literature when the ADC resolution tends toward infinity, showcasing the robustness of the analytical model proposed.

Numerical Results and Analysis

The numerical simulations corroborate the theoretical findings, indicating a precise agreement between empirical results and the analytical model. The investigation into power-scaling laws reveals key insights: as the number of antennas increases, transmit power can be proportionally reduced without degradation of the system's ergodic capacity, assuming a perfect channel state information scenario. This is particularly relevant for scenarios characterized by power constraints, highlighting a path to maintaining high data rates via strategic antenna deployment rather than merely increasing transmit power.

An intriguing outcome of the paper is the identification of a saturation point for sum-rate improvement as a function of increased quantization bits. The results underscore the diminishing returns in sum-rate performance beyond certain ADC resolutions, which has favorable implications for system design in terms of energy efficiency.

Implications and Future Work

The insights from this paper suggest practical and theoretical ramifications for the implementation of economical low-resolution ADCs in massive MIMO systems. Importantly, it supports the feasibility of scaling such systems by leveraging the high spatial diversity inherent in massive MIMO configurations to overcome ADC resolution shortcomings.

For future work, the examination of more complex receiver architectures and the impact of channel estimation errors could provide further depth. Moreover, extending the analysis to include dynamic power allocation strategies across users and antennas may yield more optimal configurations under varying network conditions. These directions could solidify the foundational understanding of low-resolution ADC use in massive MIMO, contributing to its broader adoption in next-generation wireless networks.

Overall, the paper offers an insightful analysis with implications for the design and deployment of massive MIMO systems, particularly under cost and energy constraints, potentially paving the way for their large-scale implementation in forthcoming mobile communication paradigms.