電機資訊學院: 電信工程學研究所指導教授: 張進福馮懷彥Feng, Huai-YenHuai-YenFeng2017-03-062018-07-052017-03-062018-07-052015http://ntur.lib.ntu.edu.tw//handle/246246/276586我們考慮當用戶在蜂巢式系統邊界時，要如何管理干擾訊號，使整個蜂巢式系統的總自由度(Sum Degrees of Freedom)可以達到最大。首先考慮的系統架構是兩個蜂巢式系統，每個蜂巢式系統裡面有1個基地台和 K 個用戶，通道是非時變(Time-Invariant)多輸入多輸出(Multiple-Input-Multiple-Output)的干擾多重存取通道(Interfering Multiple Access Channel)，並假設每個基地台和用戶都有 M 根天線，且都知道完整的通道資訊。我們使用了Zhang和Huang在循環對稱訊號系統(Circularly-Symmetric-Signaling Systems, CSS Systems)下之干擾對齊(Interference Alignment)及符號延展(Symbol Extension)的方法，將其使用在非對稱複數訊號系統(Asymmetric-Complex-Signaling Systems, ACS Systems)的情況來探討非整數自由度，發現在 K≤〖2M〗^2 可以達到( 2MK)⁄((1+K) ) 的總自由度，並與Kim、Love、Clerckx及Hwang所證出之上界(Upper Bound)互相疊合，最後將循環對稱訊號系統及非對稱複數訊號系統延伸至 L 個平行通道，完成在非時變 (2,K,M,M) 配置下之探討。 接下來是考慮在兩個蜂巢式系統，每個蜂巢式系統裡都有1個基地台欲傳送機密訊息給1個用戶，我們假設通道是非時變多輸入多輸出的干擾通道(Interference Channel)，基地台都是M根天線而用戶都是N根天線，且所有的基地台及用戶都知道全部的通道資訊。並考慮相互隱密(Mutual Privacy)的限制下，使用干擾對齊及迫零(Zero Forcing)的方式提出一個安全性自由度區域(Secrecy Degrees of Freedom Region)的下界(Lower Bound)，並使用消息理論推導安全性自由度區域的上界，說明上界與下界互相疊合，達成最佳的安全性自由度區域。最後將基地台及用戶的天線都延伸到任意天線，並證出其安全性自由度區域的上界與下界相重疊。In this thesis, we first study the non-integer DoF of the time-invariant multiple-input multiple-output (MIMO) interfering multiple access channel (IMAC) in the simple setting of two cells, K users per cell, and M antennas at all nodes. We use the linear interference alignment with symbol extension scheme which are designed by Zhang and Huang in circularly-symmetric-signaling systems (CSS Systems) to achieve 2MK⁄((1+K)) in asymmetric-complex-signaling systems (ACS Systems) when K≤〖2M〗^2. These results are further extended to the time-invariant parallel MIMO IMAC with independent subchannels. Next, we consider time-invariant two-user multiple-input multiple-output interfering channel with symmetric configuration of antenna numbers. We provide the secrecy degree of region (s.d.o.f) in secrecy constraint, and we show that the lower bound of secrecy degree of region match with information theoretic upper bound. Finally, we extend this system model to arbitrary configuration of antenna numbers. We provide the more general secrecy degree of region under secrecy constraint and show that the lower bound of secrecy degree of region match with information theoretic upper bound.6941760 bytesapplication/pdf論文公開時間: 2020/7/22論文使用權限: 同意有償授權(權利金給回饋學校)自由度干擾對齊符號延展迫零安全性自由度區域相互隱密degrees of freedominterference alignmentsymbol extensionzero-forcingsecrecy degree of regionmutual privacythesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/276586/1/ntu-104-R02942118-1.pdf