Optimal Signaling Scheme and Capacity of Non-Coherent Rician Fading Channels with 1-Bit Output Quantization

Vu, Minh N.; Wijeratne, D. G.; Tran, Nghi H.; Pham, Khanh

doi:10.1109/icc.2018.8422260

Cited by 6 publications

(3 citation statements)

References 19 publications

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“…For example, it has been shown in Singh et al (2009); Mo and Heath (2015) that Quadrature phase Shift Keying (QPSK) is capacity-achieving in point-to-point single-and multiple-antenna static channels. Optimal signaling schemes and fundamental limits of 1-bit ADC have also been established for point-to-point fading channels in Krone and Fettweis (2010); Mezghani and Nossek (2008); Vu et al (2018), Vu et al (2019). Recently, under the assumption of AWGN, signal design and fundamental limits of 1-bit ADC have also been extended to multi-user static channels Rassouli et al (2018) and multi-user fading channels (Ranjbar et al, 2019;Ranjbar et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

Optimal Signaling Schemes and Sum-Capacity of 1-bit ADC Fading 2-User MACs under Gaussian-Mixture Interference

et al. 2021

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In this work, we establish the sum-capacity-achieving signaling schemes and the sum-capacity of a 2-user multiple access Rayleigh fading channel with 1-bit output quantization in the presence of Gaussian-mixture co-channel interference. The considered Gaussian mixture channel is an accurate model to capture non-Gaussian co-channel interference plus noise in practical wireless networks under coexistence regimes, especially for those having heterogeneous structures and high frequency reuse factor. By first examining the phases of the optimal input signals, we demonstrate that these phases must be π/2 circularly symmetric. As a result, the problem of optimizing the sum-rate is equivalent to minimizing the conditional output entropy. By establishing the Kuhn-Tucker condition on the optimal amplitude input distributions, we then show that the optimal input amplitudes are bounded. Our proof relies on the convexity of the log of sum of Q functions. Then, given the linearity of the conditional entropy over the feasible set of bounded amplitude distributions, it is concluded that the optimal input signals must have constant amplitudes. Therefore, the use of any π/2 circularly symmetric signaling schemes with constant amplitudes and full power are sum-capacity-achieving. Using these optimal input signals, the sum-capacity can finally be calculated.

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Section: Introductionmentioning

confidence: 99%

Optimal Signaling Schemes and Sum-Capacity of 1-bit ADC Fading 2-User MACs under Gaussian-Mixture Interference

et al. 2021

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“…Specifically, as one of the first pioneering investigations addressing the fundamental limits of low-resolution ADC systems, reference [4] showed that in a static AWGN environment, BPSK is capacity-achieving. The results have also been extended to AWGN channels under additional impairments such as fading under different channel state information (CSI) assumptions [5][6][7][8][9][10][11] as well as multi-antenna channels [12][13][14]. For example, for a complex fading single-antenna channel with perfect CSI knowledge at the transmitter and receiver, QPSK is optimal.…”

Section: Introductionmentioning

confidence: 99%

“…In the case that CSI is available at the receiver only, it was shown in [8] that the use of any π/2 circularly symmetric input signal with constant amplitude achieves the channel capacity. In references [10,11], it was demonstrated that for a general non-coherent Rician fading channel, a rotated QPSK is optimal. Recently, the detailed characterizations of the capacity region and capacity-achieving schemes for a multiple-access Gaussian channel in Rayleigh fading have also been established [15].…”

Section: Introductionmentioning

confidence: 99%

On the Capacity-Achieving Scheme and Capacity of 1-Bit ADC Gaussian-Mixture Channels

Rahman¹,

Ranjbar²,

Tran³

2020

EAI Endorsed Transactions on Industrial Networks and Intelligen

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This paper addresses the optimal signaling scheme and capacity of an additive Gaussian mixture (GM) noise channel using 1-bit analog-to-digital converters (ADCs). The consideration of GM noise provides a more realistic baseline for the analysis and design of co-channel interference links and networks. Towards that goal, we first show that the capacityachieving input signal is π/2 circularly symmetric. By examining a necessary and sufficient Kuhn-Tucker condition (KTC) for an input to be optimal, we demonstrate that the maximum number of optimal mass points is four. Our proof relies on Dubin's theorem and the fact that the KTC coefficient is positive, i.e., the power constraint is active. By combining with the π/2 circularly symmetric property, it is then concluded the optimal input is unique, and it has exactly four mass points forming a square centered at the origin. By further checking the first and second derivatives of the modified KTC, it is then shown that the phase of the optimal mass point located in the first quadrant is π/4. Thus, the capacity-achieving input signal is QPSK. This result helps us obtain the channel capacity in closed-form.

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Non-Coherent and Backscatter Communications: Enabling Ultra-Massive Connectivity in 6G Wireless Networks

et al. 2021

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Optimal Signaling Scheme and Capacity of Non-Coherent Rician Fading Channels with 1-Bit Output Quantization

Cited by 6 publications

References 19 publications

Optimal Signaling Schemes and Sum-Capacity of 1-bit ADC Fading 2-User MACs under Gaussian-Mixture Interference

Optimal Signaling Schemes and Sum-Capacity of 1-bit ADC Fading 2-User MACs under Gaussian-Mixture Interference

On the Capacity-Achieving Scheme and Capacity of 1-Bit ADC Gaussian-Mixture Channels

Non-Coherent and Backscatter Communications: Enabling Ultra-Massive Connectivity in 6G Wireless Networks

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