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Approaching the Ergodic Capacity of Wireless Networks with Lattice Codes

機(jī)譯：用格碼接近無線網(wǎng)絡(luò)的遍歷容量

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摘要

Despite significant progress in the area of lattice coding and decoding, their operation under ergodic fading has been mostly unexplored. In this dissertation, lattice coding and decoding are studied for several ergodic fading scenarios, and their performance is analyzed. The channels under study are the multiple-input-multiple-output (MIMO) point-to-point channel, the multiple-access channel (MAC), the dirty paper channel, the broadcast channel and the interference channel. The channels are stationary and ergodic with time-varying gain. Different scenarios of channel state information are studied, including the availability of channel state information at the receiver (CSIR), and the case of availability of channel state information at the transmitter (CSIT) as well. For the point-to-point channel, the case of noisy channel state information at the receiver is also considered. Motivated by practical considerations, the proposed decoding rule for the different models under study is fixed for a given channel distribution and does not depend on the instantaneous realizations of the channel. When the channel state information is available at all communication nodes, it is shown that lattice codes achieve the capacity of the MIMO point-to-point channel as well as the K-user broadcast channel. When the channel state information is available at the receiver, it is shown that the gap to capacity is a constant that diminishes with the number of receive antennas, even at finite signal-to-noise ratio (SNR) for the MIMO Rayleigh fading channels under study. Single-input-single-output (SISO) channels are also considered, where the decoding process is simpler and the gap to capacity is shown to be bounded by a constant for a wide range of fading distributions. The same behavior follows for the MAC results. Additionally, an alternative decoding approach is presented for block-fading SISO point-to-point channels that are drawn from a discrete distribution, where channel-matching decision regions are proposed. The gap to capacity is shown to be a constant that diminishes under special cases. The fading MIMO dirty paper channel with CSIR is also studied, where a lattice coding/decoding scheme achieves a constant gap to capacity. A tighter inner bound for the channel is also developed using Gaussian codebooks in conjunction with random binning. Results are extended to MIMO broadcast channels with CSIR, where the results are compared to newly developed outer bounds for the broadcast channel. Finally, the two-user fading interference channel is studied under the ergodic strong regime. The capacity region of this channel is developed using Gaussian coding, and a lattice coding/decoding scheme is proposed and its achievable rate region is computed, whose gap to capacity is shown to be fairly small.
機(jī)譯：盡管在點(diǎn)陣編碼和解碼領(lǐng)域取得了重大進(jìn)展，但在遍歷衰落下的操作仍未得到充分探索。本文研究了幾種遍歷衰落場景下的點(diǎn)陣編碼和解碼，并對其性能進(jìn)行了分析。研究的信道是多輸入多輸出（MIMO）點(diǎn)對點(diǎn)信道，多路訪問信道（MAC），臟紙信道，廣播信道和干擾信道。通道是固定的，并且是遍歷的，具有隨時(shí)間變化的增益。研究了信道狀態(tài)信息的不同情況，包括在接收器（CSIR）處的信道狀態(tài)信息的可用性，以及在發(fā)送器（CSIT）處的信道狀態(tài)信息的可用性的情況。對于點(diǎn)對點(diǎn)信道，還考慮了接收機(jī)處信道狀態(tài)信息嘈雜的情況。出于實(shí)際考慮，針對給定的信道分布，針對所研究的不同模型提出的解碼規(guī)則是固定的，并且不依賴于信道的瞬時(shí)實(shí)現(xiàn)。當(dāng)信道狀態(tài)信息在所有通信節(jié)點(diǎn)上都可用時(shí)，表明晶格碼實(shí)現(xiàn)了MIMO點(diǎn)對點(diǎn)信道以及K用戶廣播信道的容量。當(dāng)接收器獲得信道狀態(tài)信息時(shí)，表明即使在有限的信噪比（SNR）下，MIMO瑞利衰落信道下，容量差距也是隨接收天線數(shù)量而減小的常數(shù)研究。還考慮了單輸入單輸出（SISO）通道，該通道的解碼過程更簡單，并且對于大范圍的衰落分布，容量差距顯示為受常數(shù)限制。 MAC結(jié)果遵循相同的行為。另外，提出了一種用于從離散分布中提取出的塊淡化SISO點(diǎn)對點(diǎn)信道的替代解碼方法，其中提出了信道匹配決策區(qū)域。容量差距顯示為一個(gè)常數(shù)，在特殊情況下會(huì)減小。還研究了具有CSIR的褪色MIMO臟紙信道，其中，晶格編碼/解碼方案在容量上保持恒定的差距。還使用高斯代碼簿結(jié)合隨機(jī)裝箱來為通道建立更嚴(yán)格的內(nèi)部邊界。將結(jié)果擴(kuò)展到具有CSIR的MIMO廣播信道，在此將結(jié)果與廣播信道的新開發(fā)外部邊界進(jìn)行比較。最后，在遍歷強(qiáng)體制下研究了兩用戶衰落干擾信道。該信道的容量區(qū)域是使用高斯編碼開發(fā)的，并提出了一種點(diǎn)陣編碼/解碼方案，并計(jì)算了其可達(dá)到的速率區(qū)域，其與容量的差距很小。

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  • 作者

    Hindy, Ahmed Monier.;

  • 作者單位

    The University of Texas at Dallas.;

  • 授予單位 The University of Texas at Dallas.;
  • 學(xué)科 Electrical engineering.
  • 學(xué)位 Ph.D.
  • 年度 2017
  • 頁碼 137 p.
  • 總頁數(shù) 137
  • 原文格式 PDF
  • 正文語種 eng
  • 中圖分類 康復(fù)醫(yī)學(xué);
  • 關(guān)鍵詞

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