Secrecy Capacity of Wiretap Channels with Additive Colored Gaussian Noise

• FUJITA Hachiro

  Division of Information and Communications Systems, Tokyo Metropolitan University

抄録

Wyner has shown in his seminal paper on (discrete memoryless) wiretap channels that if the channel between the sender and an eavesdropper is a degraded version of the channel between the sender and the legitimate receiver, then the sender can reliably and securely transmit a message to the receiver, while the eavesdropper obtains absolutely no information about the message. Later, Leung-Yan-Cheong and Hellman extended Wyner's result to the case where the noise is white Gaussian. In this paper we extend the white Gaussian wiretap channel to the colored Gaussian case and show the finite block length secrecy capacity of colored Gaussian wiretap channels. We also show the asymptotic secrecy capacity of a specific colored Gaussian wiretap channel for which optimal power allocation can be found by a water-filling procedure.

収録刊行物

• IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E98.A (6), 1276-1287, 2015

  一般社団法人 電子情報通信学会

キーワード

• autoregressive process
• colored Gaussian noise
• secrecy capacity
• water-filling
• wiretap channel

詳細情報

• CRID: 1390282681287529856
• NII論文ID: 130005071819
• DOI: 10.1587/transfun.e98.a.1276
• ISSN: 17451337
• ISSN: 09168508
• Web Site: https://www.jstage.jst.go.jp/article/transfun/E98.A/6/E98.A_1276/_pdf
• 本文言語コード: en
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