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IEEE International Conference on Computer and Communications (ICCC)

Self-Secure Capacity-Achieving Feedback Scheme for SIMO Rayleigh Channel

Yin Shi, Bin Dai

Published Dec 9, 2022• 1 citation
Publisher

Abstract

In this paper, an efficient and self-secure channel feedback scheme for single-input multiple-output (SIMO) system based on Rayleigh channel is studied. In this paper, the classical SK scheme is extended to SIMO Rayleigh channel and wire-tap channel, and we prove that the extended scheme is self-secure capacity-achieving(SSCA). Numerical results show that this scheme achieves extremely low decoding error probability under especially small codeword length and significantly enhances the physical layer security in SIMO Rayleigh channel.

DOI
10.1109/iccc56324.2022.10065700

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In this paper, an efficient and self-secure channel feedback scheme for single-input multiple-output (SIMO) system based on Rayleigh channel is studied. In this paper, the classical SK scheme is extended to SIMO Rayleigh channel and wire-tap channel, and we prove that the extended scheme is self-secure capacity-achieving(SSCA). Numerical results show that this scheme achieves extremely low decoding error probability under especially small codeword length and significantly enhances the physical layer security in SIMO Rayleigh channel.
It has been shown that the SK scheme, which was proposed by Schalkwijk and Kailath, is a self-secure capacity-achieving (SSCA) feedback scheme for the Gaussian wiretap channel, i.e., the SK scheme not only achieves the feedback capacity of the Gaussian channel, but also is secure by itself and achieves the feedback secrecy capacity of the Gaussian wiretap channel. For the multi-user wiretap channels, very recently, it has been shown that Ozarow’s capacity-achieving feedback scheme for the two-user Gaussian multiple-access channel (GMAC) is the SSCA feedback scheme for the two-user Gaussian multiple-access wiretap channel (GMAC-WT). In this paper, first, we propose a SSCA feedback scheme for the two-user GMAC-WT with degraded message sets (GMAC-WT-DMS). Next, we extend the above scheme to the two-user GMAC-WT-DMS with noncausal channel state information at the transmitters (NCSIT), and show that the extended scheme is also a SSCA feedback scheme. Finally, we derive outer bounds on the secrecy capacity regions of the two-user GMAC-WT-DMS with or without NCSIT, and numerical results show the rate gains by the feedback.
Broadcast channel (BC) faces critical physical layer security (PLS) challenges due to their inherent openness. Traditional encryption methods are costly and unsuitable for low-latency applications. Recent studies have shown that Schalk-wijk-Kailath (SK) feedback coding scheme naturally satisfies PLS and achieves double-exponential error decay. This paper investigates two-user Single-Input Multiple-Output (SIMO) broad-cast wiretap channel with partial feedback. A SK-type feedback control scheme based on scalarization and channel splitting is proposed for the two-user SIMO broadcast wiretap channel. Finially, numerical results demonstrate that the proposed scheme outperforms existing secret-key-based methods in the literature.
The Schalkwijk-Kailath (SK) scheme, which achieves the capacity of the point-to-point white Gaussian channel with feedback, is secure by itself and also achieves the secrecy capacity of the Gaussian wiretap channel with feedback, i.e., the SK scheme is a self-secure capacity-achieving (SSCA) feedback scheme for the Gaussian wiretap channel. For the multi-user wiretap channels, recently, it has been shown that Ozarow's capacity-achieving feedback scheme for the two-user Gaussian multiple-access channel (GMAC) is the SSCA feedback scheme for the two-user Gaussian multiple-access wiretap channel (GMAC-WT). In this paper, first, we propose a capacity-achieving feedback scheme for the two-user GMAC with degraded message sets (GMAC-DMS), and show that this scheme is the SSCA feedback scheme for the two-user GMAC-WT with degraded message sets (GMAC-WT-DMS). Next, we extend the above scheme to the two-user GMAC-DMS with noncausal channel state information at the transmitters (NCSIT), and show that the extended scheme is capacity-achieving and also a SSCA feedback scheme for the two-user GMAC-WT-DMS with NCSIT. Finally, we derive outer bounds on the secrecy capacity regions of the two-user GMAC-WT-DMS with or without NCSIT, and numerical results show the rate gains by the feedback.
In this paper, we consider the problem of secret communication through Rayleigh fading single-input multiple-output (SIMO) broadcast channel in the presence of an eavesdropper. At first, we define the ergodic secrecy capacity and find the optimal power allocation at the transmitter that achieves the secrecy capacity for the full channel state information (CSI) case, where transmitter has access to both the main channel and eavesdropper's channel gains, and for the case of only main channel CSI at the transmitter. Then, we define the secrecy capacity in case of open-loop transmission scheme and present the analytical expression for the lower bound of ergodic secrecy capacity. We also find the analytical expression for secure outage probability to study the secure outage performance of the proposed model.
On Physical-Layer Security Over SIMO Generalized- KKK Fading Channels
The issue of physical layer security of the wireless single-input multiple-output (SIMO) system is addressed in this paper. We proposed a two-step transmission approach to improve the secrecy rate with perfect knowledge of channel state information. In the first step, the destination which has multiple antennas generates a random message and transmits it to the source which has a single antenna. The message is transmitted in a system of multiple-input single-output (MISO) in this step, and it is encoded under the secrecy capacity of the MISO system and thus can be securely transmitted to the source without leaking to the eavesdropper. In the second step, the message of the source is encrypted to a new message by using the received random message in the first step. The new message is then transmitted to the destination under the capacity of the SIMO system without considering the security. The secrecy of the source's message is guaranteed by the first random message, thus it is unknown for the eavesdropper. The information-theoretic security of the two-step transmission approach is proven in this paper, and the optimal power allocation is also proposed by solving an equation. The performance of the two-step transmission approach is analyzed in theory and evaluated by numerical simulations, and the results show that the proposed approach outperforms the traditional approach when the transmit power is great.