TY - GEN
T1 - A Coding Scheme for Colored Gaussian Wiretap Channels with Feedback
AU - Li, Chong
AU - Liang, Yingbin
AU - Poor, H. Vincent
AU - Shamai, Shlomo
N1 - Publisher Copyright: © 2018 IEEE.
PY - 2018/8/15
Y1 - 2018/8/15
N2 - In this paper, the finite-order autoregressive moving average (ARMA) Gaussian wiretap channel with noiseless causal feedback is considered, in which an eavesdropper receives noisy observations of the signals in both forward and feedback channels. It is shown that the generalized Schalkwijk-Kailath scheme, a capacity-achieving coding scheme for the feedback Gaussian channel, achieves the same maximum rate for the same channel with the presence of an eavesdropper. Therefore, the secrecy capacity is equal to the feedback capacity without the presence of an eavesdropper for the feedback channel. Furthermore, the results are extended to the additive white Gaussian noise (AWGN) channel with quantized feedback. It is shown that the proposed coding scheme achieves a positive secrecy rate. As the amplitude of the quantization noise decreases to zero, the secrecy rate converges to the capacity of the AWGN channel.
AB - In this paper, the finite-order autoregressive moving average (ARMA) Gaussian wiretap channel with noiseless causal feedback is considered, in which an eavesdropper receives noisy observations of the signals in both forward and feedback channels. It is shown that the generalized Schalkwijk-Kailath scheme, a capacity-achieving coding scheme for the feedback Gaussian channel, achieves the same maximum rate for the same channel with the presence of an eavesdropper. Therefore, the secrecy capacity is equal to the feedback capacity without the presence of an eavesdropper for the feedback channel. Furthermore, the results are extended to the additive white Gaussian noise (AWGN) channel with quantized feedback. It is shown that the proposed coding scheme achieves a positive secrecy rate. As the amplitude of the quantization noise decreases to zero, the secrecy rate converges to the capacity of the AWGN channel.
UR - http://www.scopus.com/inward/record.url?scp=85052478526&partnerID=8YFLogxK
U2 - https://doi.org/10.1109/ISIT.2018.8437720
DO - https://doi.org/10.1109/ISIT.2018.8437720
M3 - منشور من مؤتمر
SN - 9781538647806
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 131
EP - 135
BT - 2018 IEEE International Symposium on Information Theory, ISIT 2018
T2 - 2018 IEEE International Symposium on Information Theory, ISIT 2018
Y2 - 17 June 2018 through 22 June 2018
ER -