TAILIEUCHUNG - Báo cáo hóa học: " Research Article Secured Communication over Frequency-Selective Fading Channels: A Practical Vandermonde Precoding"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Secured Communication over Frequency-Selective Fading Channels: A Practical Vandermonde Precoding | Hindawi Publishing Corporation EURASIP Journal on Wireless Communications and Networking Volume 2009 Article ID 386547 19 pages doi 2009 386547 Research Article Secured Communication over Frequency-Selective Fading Channels A Practical Vandermonde Precoding Mari Kobayashi 1 Merouane Debbah 2 and Shlomo Shamai Shitz 3 department of Telecommunications SUPELEC 3 Rue Joliot-Curie Gif-sur-Yvette 91192 France 2Alcatel-Lucent Chair on Flexible Radio SUPELEC 3 Rue Joliot-Curie Gif-sur-Yvette 91192 France 3 Department of Electrical Engineering Technion-Israel Institute of Technology Haifa 32000 Israel Correspondence should be addressed to Mari Kobayashi Received 2 February 2009 Accepted 16 June 2009 Recommended by H. Vincent Poor We study the frequency-selective broadcast channel with confidential messages BCC where the transmitter sends a confidential message to receiver 1 and a common message to receivers 1 and 2. In the case of a block transmission of N symbols followed by a guard interval of L symbols the frequency-selective channel can be modeled as a N X N L Toeplitz matrix. For this special type of multiple-input multiple-output channels we propose a practical Vandermonde precoding that projects the confidential messages in the null space of the channel seen by receiver 2 while superposing the common message. For this scheme we provide the achievable rate region and characterize the optimal covariance for some special cases of interest. Interestingly the proposed scheme can be applied to other multiuser scenarios such as the K 1-user frequency-selective BCC with K confidential messages and the two-user frequency-selective BCC with two confidential messages. For each scenario we provide the secrecy degree of freedom . region of the corresponding channel and prove the optimality of the Vandermonde precoding. One of the appealing features of the proposed scheme is that it does not require any specific secrecy encoding technique .

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