Capacity-Achieving Signals for Point-to-Point and Multiple-Access Channels Under Non-Gaussian Noise and Peak Power Constraint

Matrix differentiation for capacity region of Gaussian multiple access channels under weighted total power constraint

annals of telecommunications - annales des télécommunications ◽

10.1007/s12243-017-0610-7 ◽

2017 ◽

Vol 72 (11-12) ◽

pp. 703-715 ◽

Cited By ~ 1

Author(s):

Zhao-Xu Yang ◽

Guang-She Zhao ◽

Guoqi Li ◽

Hai-Jun Rong

Keyword(s):

Multiple Access ◽

Total Power ◽

Capacity Region ◽

Power Constraint ◽

Multiple Access Channels

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On Continuous-Time Gaussian Channels

Entropy ◽

10.3390/e21010067 ◽

2019 ◽

Vol 21 (1) ◽

pp. 67 ◽

Cited By ~ 1

Author(s):

Xianming Liu ◽

Guangyue Han

Keyword(s):

Discrete Time ◽

Gaussian Noise ◽

Continuous Time ◽

Multiple Access ◽

Stochastic Calculus ◽

Broadcast Channels ◽

Gaussian Channel ◽

Approximation Approach ◽

Multiple Access Channels ◽

Gaussian Channels

A continuous-time white Gaussian channel can be formulated using a white Gaussian noise, and a conventional way for examining such a channel is the sampling approach based on the Shannon–Nyquist sampling theorem, where the original continuous-time channel is converted to an equivalent discrete-time channel, to which a great variety of established tools and methodology can be applied. However, one of the key issues of this scheme is that continuous-time feedback and memory cannot be incorporated into the channel model. It turns out that this issue can be circumvented by considering the Brownian motion formulation of a continuous-time white Gaussian channel. Nevertheless, as opposed to the white Gaussian noise formulation, a link that establishes the information-theoretic connection between a continuous-time channel under the Brownian motion formulation and its discrete-time counterparts has long been missing. This paper is to fill this gap by establishing causality-preserving connections between continuous-time Gaussian feedback/memory channels and their associated discrete-time versions in the forms of sampling and approximation theorems, which we believe will play important roles in the long run for further developing continuous-time information theory. As an immediate application of the approximation theorem, we propose the so-called approximation approach to examine continuous-time white Gaussian channels in the point-to-point or multi-user setting. It turns out that the approximation approach, complemented by relevant tools from stochastic calculus, can enhance our understanding of continuous-time Gaussian channels in terms of giving alternative and strengthened interpretation to some long-held folklore, recovering “long-known” results from new perspectives, and rigorously establishing new results predicted by the intuition that the approximation approach carries. More specifically, using the approximation approach complemented by relevant tools from stochastic calculus, we first derive the capacity regions of continuous-time white Gaussian multiple access channels and broadcast channels, and we then analyze how feedback affects their capacity regions: feedback will increase the capacity regions of some continuous-time white Gaussian broadcast channels and interference channels, while it will not increase capacity regions of continuous-time white Gaussian multiple access channels.

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A Deterministic Equivalent for the Analysis of Non-Gaussian Correlated MIMO Multiple Access Channels

IEEE Transactions on Information Theory ◽

10.1109/tit.2012.2218571 ◽

2013 ◽

Vol 59 (1) ◽

pp. 329-352 ◽

Cited By ~ 15

Author(s):

Chao-Kai Wen ◽

Guangming Pan ◽

Kai-Kit Wong ◽

Meihui Guo ◽

Jung-Chieh Chen

Keyword(s):

Multiple Access ◽

Multiple Access Channels ◽

Deterministic Equivalent ◽

Non Gaussian

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Robustness of Time Reversal versus All-Rake Transceivers in Multiple Access Channels

Wireless Communications and Mobile Computing ◽

10.1155/2018/7548926 ◽

2018 ◽

Vol 2018 ◽

pp. 1-16

Author(s):

Luca De Nardis ◽

Jocelyn Fiorina ◽

Guido Carlo Ferrante ◽

Maria-Gabriella Di Benedetto

Keyword(s):

Channel Estimation ◽

Time Reversal ◽

Multiple Access ◽

Estimation Errors ◽

Channel Estimation Errors ◽

Multiple Access Channels ◽

Large Channel ◽

Multiple Access Communications ◽

Analytic Expressions ◽

Non Gaussian

Time reversal (TR) is an effective solution in both single user and multiuser communications for moving complexity from the receiver to the transmitter, in comparison to traditional postfiltering based on Rake receivers. Imperfect channel estimation may, however, affect pre- versus postfiltering schemes in a different way; this paper analyzes the robustness of time reversal versus All-Rake (AR) transceivers, in multiple access communications, with respect to channel estimation errors. Two performance indicators are adopted in the analysis: symbol error probability and spectral efficiency. Analytic expressions for both indicators are derived and used as the basis for simulation-based performance evaluation. Results show that while TR leads to slight performance advantage over AR when channel estimation is accurate, its performance is severely degraded by large channel estimation errors, indicating a clear advantage for AR receivers in this case, in particular when extremely short impulsive waveforms are adopted. Results however also show a stronger non-Gaussianity of interference in the TR case suggesting that the adoption of a receiver structure adapted to non-Gaussian interference might tilt the balance towards TR.

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