Secrecy Coding Analysis of Short-Packet Full-Duplex Transmissions with Joint Iterative Channel Estimation and Decoding Processes  
[PERSON]  
1 Univ Brest, CNRS, Lab-STICC, CS 93837, 6 Avenue Le Gorgeu, CEDEX 3, 29238 Brest, France; [EMAIL_ADDRESS] (R.G. ); [EMAIL_ADDRESS] (A.F. ); [EMAIL_ADDRESS] (M.M. ); [EMAIL_ADDRESS] (C.D.-S)
2 School of Electrical Engineering, International University, Ho Chi Minh City 700000, Vietnam 2  
Votnam National University, Ho Chi Minh City 700000, Vietnam 2  
[PERSON]  
1 Univ Brest, CNRS, Lab-STICC, CS 93837, 6 Avenue Le Gorgeu, CEDEX 3, 29238 Brest, France; [EMAIL_ADDRESS] (R.G. ); [EMAIL_ADDRESS] (A.F. ); [EMAIL_ADDRESS] (M.M. ); [EMAIL_ADDRESS] (C.D.-S)
2 School of Electrical Engineering, International University, Ho Chi Minh City 700000, Vietnam 2  
Votnam National University, Ho Chi Minh City 700000, Vietnam 2  
[PERSON]  
1 Univ Brest, CNRS, Lab-STICC, CS 93837, 6 Avenue Le Gorgeu, CEDEX 3, 29238 Brest, France; [EMAIL_ADDRESS] (R.G. ); [EMAIL_ADDRESS] (A.F. ); [PERSON] (M.M. ); [EMAIL_ADDRESS] (C.D.-S)  
[PERSON]  
1 Univ Brest, CNRS, Lab-STICC, CS 93837, 6 Avenue Le Gorgeu, CEDEX 3, 29238 Brest, France; [EMAIL_ADDRESS] (R.G. ); [EMAIL_ADDRESS] (A.F. ); [EMAIL_ADDRESS] (M.M. ); [EMAIL_ADDRESS] (C.D.-S)
2 School of Electrical Engineering, International University, Ho Chi Minh City 700000, Vietnam 2  
additional security layer, especially in 5G networks and beyond [2; 3]. The wiretap channel was first introduced by [PERSON] in 1975 and became fundamental in characterizing PLS problems, where the intended transmitter sends a message to the legitimate receiver while the passive eavesdropper tries to listen and decode this message [4]. A decade later, [PERSON] and [PERSON] introduced the second type of wiretap channel, known as wiretap channel II, where the active eavesdropper not only listens to the intended transmitter but also transmits a jamming signal to the legitimate receiver [5]. Therefore, the presence of an active eavesdropper can more strongly destroy the reception behavior of the legitimate receiver than that of the passive eavesdropper in the secrecy of wireless communication links [6]. As a metric of PLS, the security gap was first introduced in [7], which is calculated as the ratio of the Bit Error Rate (BER) on the linear scale or the difference of the BERs on the log scale achieved by the legitimate receiver and the eavesdropper to ensure that the legitimate receiver can reliably receive the intended message and to maintain security throughout transmission. Due to the improved spectral efficiency, Full-Duplex (FD) communication systems that simultaneously transmit and receive information using the same time-frequency channel resource became an essential approach in 5G and beyond communication networks, especially in IoT transmissions and green communications [8; 9]. However, Self-Interference (SI) cancellation is still the biggest challenge of any FD system due to the channel estimation error caused by the complexity of the SI channel, particularly in the case of short-frame transmission [10; 11; 12]. The presence of SI will reduce the Signal-to-Noise Ratio (SNR) at the receiver and leads to low overall performance. Considering the PLS in FD transmission, the security approaches involving the simultaneous transmission of the self-jamming or Artificial Noise (AN) have attracted a huge research interest due to their robustness promising performance [13; 14]. The self-jamming technique is usually used to make the interception and the correct message decoding impossible for the eavesdroppers, even if they have equivalent or better channel conditions than the legitimate receiver. Therefore, the self-jamming approach has been widely studied and extended in numerous schemes to enhance the PLS, i.e., the FD transceiver can simultaneously receive the intended message and broadcast the AN to degrade the eavesdropper channel [15; 16; 17]. The AN technique is also used for secure transmission in cognitive wiretap networks with FD receivers [18] or FD relay systems [19].