On Minimizing Symbol Error Rate Over Fading Channels With Low-Resolution Quantization

Bernardo, Neil Irwin; Zhu, Jingge; Evans, Jamie

doi:10.1109/tcomm.2021.3102131

Cited by 11 publications

(9 citation statements)

References 37 publications

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Section: Fully Digital Wide-bandwidth Massive Mimo Systemsmentioning

confidence: 99%

“…Numerous studies have been devoted to study merging the low-resolution and 1-bit ADCs with the communication systems [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28]. The system performance analysis is considered in [7], [8], [9], and [10]. In their respective works [7] and [8], the authors take the extreme case (1-bit) into account and examine the mutual information and achievable rate of the MIMO system.…”

Section: Fully Digital Wide-bandwidth Massive Mimo Systemsmentioning

confidence: 99%

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Enhanced Signal Detection and Constellation Design for Massive SIMO Communications With 1-Bit ADCs

et al. 2023

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In this paper, we investigate a transmitter and receiver design for a single-user massive SIMO (single-input multiple-output) system with 1-bit analog-to-digital converters (ADCs) at the base station (BS), where the user adopts higher-order modulation, e.g., 16-quadrature amplitude modulation (16-QAM), for the data transmission. For the channel estimation and the signal detection, linear least-squares (LS) estimation and maximum ratio combining (MRC) are respectively employed. In this context, we first introduce closedform formulas for the mean of the estimated symbols and for the correlation matrix between their real and imaginary parts considering the effect of 1-bit quantization. The study of the distribution of the estimated symbols indicates that, in presence of 1-bit ADCs, the conventional 16-QAM detector and the typical square 16-QAM modulation are not adequate. In light of this, we propose three novel symbol detectors and re-design the 16-QAM modulation in order to improve the symbol error rate (SER). Furthermore, the upper bound on the SER is analyzed based on the pair-wise error probability and the boundary equation between two regions is also studied. Through numerical results, the proposed framework, i.e., the symbol detector and the transmit constellation design, shows a significant enhancement in the SER performance against the conventional detector and the typical square 16-QAM modulation.INDEX TERMS Massive MIMO, 1-bit ADCs, data detection, upper bound on the SER, transmit constellation design.

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Section: Fully Digital Wide-bandwidth Massive Mimo Systemsmentioning

confidence: 99%

Section: Fully Digital Wide-bandwidth Massive Mimo Systemsmentioning

confidence: 99%

Enhanced Signal Detection and Constellation Design for Massive SIMO Communications With 1-Bit ADCs

et al. 2023

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“…There is a rich body of work looking at the performance bounds for quantized channels [3]- [6] as well as the design of practical receiver architectures with low-resolution ADCs [7], [8].…”

Section: Arxiv:220505850v1 [Csit] 12 May 2022mentioning

confidence: 99%

“…• Constellation B: A union of L 2 b 1 -phase shift keying (PSK) constellations and a mass point at the origin (ρ 0 = 0) with probability β 0 , where L ≤ 2 b 2 − 1. The l-th PSK constellation is given by the PMF in (6) for some ρ l and β l . Moreover, {ρ l } l=L l=1 and {β l } l=L l=1 should satisfy L l=0 β l = 1 and the average power constraint L l=1 ρ l β l = P .…”

Section: Mathematically Wmentioning

confidence: 99%

On the Capacity-Achieving Input of Channels With Phase Quantization

Bernardo

Zhu

Evans

2022

IEEE Trans. Inform. Theory

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The polar receiver architecture is a receiver design that captures the envelope and phase information of the signal rather than its in-phase and quadrature components. Several studies have demonstrated the robustness of polar receivers to phase noise and other nonlinearities. Yet, the information-theoretic limits of polar receivers with finite-precision quantizers have not been investigated in the literature. The main contribution of this work is to identify the optimal signaling strategy for the additive white Gaussian noise (AWGN) channel with polar quantization at the output. More precisely, we show that the capacity-achieving modulation scheme has an amplitude phase shift keying (APSK) structure. Using this result, the capacity of the AWGN channel with polar quantization at the output is established by numerically optimizing the probability mass function of the amplitude. The capacity of the polar-quantized AWGN channel with b 1 -bit phase quantizer and optimized single-bit magnitude quantizer is also presented. Our numerical findings suggest the existence of signal-to-noise ratio (SNR) thresholds, above which the number of amplitude levels of the optimal APSK scheme and their respective probabilities change abruptly. Moreover, the manner in which the capacity-achieving input evolves with increasing SNR depends on the number of phase quantization bits.

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“…In fact, some early results suggest that the power savings and cost reduction obtained from using conventional 1-bit ADC MIMO systems may outweigh the rate loss caused by severe quantization; even with simple linear detection schemes [1], [7], [8]. Error rate analyses of single-input multiple-output (SIMO) fading channels with lowresolution output quantization have established that, under certain conditions, the diversity order of optimal detectors is nonzero and improves linearly with the number of receive antennas [9], [10]. Furthermore, other receiver functionalities (e.g.…”

mentioning

confidence: 99%

Capacity Bounds for One-Bit MIMO Gaussian Channels with Analog Combining

Bernardo¹,

Zhu²,

Eldar³

et al. 2022

Preprint

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The use of 1-bit analog-to-digital converters (ADCs) is seen as a promising approach to significantly reduce the power consumption and hardware cost of multiple-input multiple-output (MIMO) receivers.However, the nonlinear distortion due to 1-bit quantization fundamentally changes the optimal communication strategy and also imposes a capacity penalty to the system. In this paper, the capacity of a Gaussian MIMO channel in which the antenna outputs are processed by an analog linear combiner and then quantized by a set of zero threshold ADCs is studied. A new capacity upper bound for the zero threshold case is established that is tighter than the bounds available in the literature. In addition, we propose an achievability scheme which configures the analog combiner to create parallel Gaussian channels with phase quantization at the output. Under this class of analog combiners, an algorithm is presented that identifies the analog combiner and input distribution that maximize the achievable rate. Numerical results are provided showing that the rate of the achievability scheme is tight in the low signal-to-noise ratio (SNR) regime. Finally, a new 1-bit MIMO receiver architecture which employs analog temporal and spatial processing is proposed.The proposed receiver attains the capacity in the high SNR regime.

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On Minimizing Symbol Error Rate Over Fading Channels With Low-Resolution Quantization

Cited by 11 publications

References 37 publications

Enhanced Signal Detection and Constellation Design for Massive SIMO Communications With 1-Bit ADCs

Enhanced Signal Detection and Constellation Design for Massive SIMO Communications With 1-Bit ADCs

On the Capacity-Achieving Input of Channels With Phase Quantization

Capacity Bounds for One-Bit MIMO Gaussian Channels with Analog Combining

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