時(shí)間反轉(zhuǎn)多用戶系統(tǒng)中保密和速率優(yōu)化的預(yù)處理濾波器設(shè)計(jì)
doi: 10.11999/JEIT190339 cstr: 32379.14.JEIT190339
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重慶郵電大學(xué)通信與信息工程學(xué)院 重慶 400065
Pre-filter Design for Sum Secrecy Rate Optimization in Time-reversal Multiuser Systems
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School of Communication and Information Engineering, Chongqing University of Posts and Telecommunication, Chongqing 400065, China
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摘要:
利用無線信道的特征通過物理層技術(shù)實(shí)現(xiàn)信息的安全傳輸是保密通信的一種方式。時(shí)間反轉(zhuǎn)傳輸特有的時(shí)空聚焦特性使其具有天然的抗干擾和抗竊聽能力，在單發(fā)射天線條件下也能獲得較好的保密傳輸性能。該文研究兩用戶時(shí)間反轉(zhuǎn)下行多址安全傳輸系統(tǒng)中，發(fā)送濾波器脈沖響應(yīng)的優(yōu)化問題。根據(jù)互惠原則將兩個發(fā)送濾波器的聯(lián)合優(yōu)化問題轉(zhuǎn)換為各濾波器的獨(dú)立優(yōu)化問題，進(jìn)一步將其轉(zhuǎn)換為尋找最大特征值及其對應(yīng)的特征向量的問題，并通過迭代算法進(jìn)行求解。仿真結(jié)果表明，針對保密和速率優(yōu)化預(yù)處理濾波器后，系統(tǒng)的可達(dá)保密速率明顯優(yōu)于采用常規(guī)時(shí)間反轉(zhuǎn)預(yù)處理濾波器時(shí)的系統(tǒng)和直接傳輸系統(tǒng)。
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關(guān)鍵詞:
- 物理層安全 /
- 時(shí)間反轉(zhuǎn) /
- 保密和速率 /
- 預(yù)處理濾波器
Abstract:Utilizing the characteristics of the wireless channel to achieve secure transmission of information through physical layer technology is a way to realize security communications. The time-reversed transmission has natural anti-jamming and anti-eavesdropping capability due to its unique spatial and temporal focusing property, so a good secrecy performance can be obtained even when the transmitter is equipped with single transmitting antenna. This paper studies the optimization of the transmit filter impulse response in a two-user time-reversed downlink multiple access secure transmission system. The joint optimization problem of two transmitting filters is transformed into the independent optimization problem of each filter based on reciprocity principles. This problem is further converted into the problem of finding the largest eigenvalue and its corresponding eigenvector which is solved by iterative algorithm. The simulation results show that by optimizing the pre-filter for sum secrecy rate, the system's sum secrecy rate is promoted and is obviously higher than that of the conventional time-reversed pre-processing filter system and direct transmission system.
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Key words:
- Physical layer security /
- Time reversal /
- Sum secrecy rate /
- Pre-processing filter
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表 1 最大特征值求解迭代算法
(1) k=0，設(shè)置初始點(diǎn)${{g}}_i^{(0)}$ (2) 循環(huán) (3) k:=k+1 (4) 根${{g}}_i^{(k - 1)}$計(jì)算矩陣V和Q； (5) 求解Q–1V的最大特征值$\lambda _i^{\left( k \right)}$以及對應(yīng)的歸一化特征向量
${{g}}_i^{(k - 1)}$；(6) 判斷$\left| {\lambda _i^{(k)} - \lambda _i^{(k - 1)} } \right| \le \varepsilon $是否滿足，或者是否達(dá)到迭代次
數(shù)，是跳出循環(huán)，否則轉(zhuǎn)第(3)步繼續(xù)迭代；(7) 輸出優(yōu)化問題解${{{\bar g}}_i} = {{g}}_i^{(k)}$。 
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