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Scientia Sinica Informationis

Secret key generation scheme based on MIMO received signal spaces}{Secret key generation scheme based on MIMO received signal spaces

Kaizhi Huang, Zhong Zhou, Shengjun ZHANG, Yangming Lou, Liang Jin

Published Nov 30, 2016• 9 citations
Publisher

Abstract

Conventional secret key generation scheme cannot achieve high key generation rate when the channel characteristics change slowly. To solve this problem, a secret key generation model based on the MIMO received signal space is investigated in this paper. In this model, the legitimate transmitter and receiver distill secret keys from the received signal space, and improve the randomness of the received signals by controlling the variance of the transmitted signals, so that the update of the secret key is independent of the time variance of the wireless channel. Then a specific key generation scheme is proposed, in which the legitimate nodes can obtain the same received signal space, from which common vectors can be selected to distill the keys. In addition, an optimal power allocation method to maximize the key rate is presented. The results of the simulation confirm the effectiveness of this scheme.

DOI
10.1360/n112016-00001

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Conventional secret key generation scheme cannot achieve high key generation rate when the channel characteristics change slowly. To solve this problem, a secret key generation model based on the MIMO received signal space is investigated in this paper. In this model, the legitimate transmitter and receiver distill secret keys from the received signal space, and improve the randomness of the received signals by controlling the variance of the transmitted signals, so that the update of the secret key is independent of the time variance of the wireless channel. Then a specific key generation scheme is proposed, in which the legitimate nodes can obtain the same received signal space, from which common vectors can be selected to distill the keys. In addition, an optimal power allocation method to maximize the key rate is presented. The results of the simulation confirm the effectiveness of this scheme.
Recently, shared secret key generation from wireless channel characteristics has attracted a lot of attention due to its low computational overhead. However, in a static environment, the secret key rate is relatively lower due to the lack of channel time-variation. In this paper, we propose a lightweight and efficient PLKG scheme for static channels. Different from current schemes, in the proposed scheme, the transmitter attaches the information of the secret key into the downlink pilot signals to the legitimate receiver by the proposed secret precoding. At the receiving end, the legitimate receiver can directly observe the correct information of secret key from the public downlink pilot signals, while keeping perfect secrecy of the generated key against eavesdroppers. The key principle lies in that the information of the secret key is coded in the index of the non-activated MIMO (multiple-input-multiple-output) sub-channel. Consequently, only the legitimate receiver can accurately observe the value of the key information. For any other eavesdroppers who suffer an independent channel from the legitimate transmitter and receiver, it is proven that she cannot observe any key information from her received signals. Therefore, the key rate can be improved for the static channels by increasing the symbol rate of the pilot signals. Simulations are conducted to validate the effectiveness of the proposed scheme.
Physical-layer secret key generation is a meaningful approach to enhance the security of wireless links by taking advantages of wireless channels. However eavesdroppers may obtain the secret key bits if their channels become correlated to the legitimate channels. In this paper, to increase the mismatch rate at the eavesdroppers, we propose a new secret key generation scheme for polar coded multiple-input multiple-output (MIMO) systems by applying MIMO precoding and adding signal-like noise on the transmitted signals. Furthermore, considering the channel polarization phenomenon of polar codes, we propose to adaptively send messages that are used for secret key generation over the less reliable channel-bits of eavesdroppers. In addition, we propose to add randomness to messages to ensure that eavesdroppers are unable to generate the secret key bits even when their channels are highly correlated to the legitimate channels. Simulation results demonstrate that our proposed scheme prevents eavesdroppers to generate the secret key with an extremely high probability.
In order to find an effective secret key generation scheme in wireless networks, many based on received signal strength methods have been proposed.However, the secret bit rates of existing schemes are relatively low.To resolve the problem of low generation rate, a vector quantization scheme is proposed in this paper where channel measurements are reused and every measurement can be quantified into two bits without increasing mismatching rate.Performance simulation results show that our proposed scheme improves the key generation rate almost twice at high entropy in comparison to the traditional schemes.At the same time, our scheme passes the randomness tests of the NIST test suite.
Secret key generation based on channel characteristics is an effective physical-layer security method for 5G wireless networks. The issues of how to ensure the high key generation rate and correlation of the secret key under active attack are needed to be addressed. In this paper, a new practical secret key generation scheme with high rate and correlation is proposed. In our proposed scheme, Alice and Bob transmit independent random sequences instead of known training sequences or probing signals; neither Alice nor Bob can decode these random sequences or estimate the channel. User's random sequences together with the channel effects are used as common random source to generate the secret key. With this solution, legitimate users are able to share secret keys with sufficient length and high security under active attack. We evaluate the proposed scheme through both analytic and simulation studies. The results show that our proposed scheme achieves high key generation rate and key security, and is suitable for 5G wireless networks with resource-constrained devices.
Much attention has recently been paid to methods of shared secret key generation that exploit the random characteristics of the amplitude and phase of a received signal and common channel symmetry in wireless communication systems. Protocols based on the phase of a received signal, due to the uniform distribution phase of fading channel, are suitable in both static and dynamic environments and, they have a key generation rate (KGR) higher than protocols based on received signal strength (RSS).In addition, previous works have generally focused on key generation protocol for single-antenna (SISO) systems but these have not produced a significant KGR. So in this paper to increase the randomness and key generation rate are used received signal phase estimations on multiple-antenna (MIMO) systems because they have the potential to present more random variables in key generation compared to SISO systems. The results of simulation show that the KGR of the proposed protocol is 4 and 9 times more than the KGR of a SISO system, when the numbers of transmitter and receiver antennas are the same and equal to 2 and 3, respectively. Also, the key generation rate will increase considerably, when to extract the secret key bits using multilevel quantization.
Secret group key generation based on physical layer in wireless communications has a lot of practical applications. A few studies focused on the theoretical bounds of the secret key rate based on the sets of received signals rather than a particular secret key generation scheme. We propose a secret group key generation scheme for an arbitrary number of legitimate nodes, n, in mesh topology in the presence of a passive eavesdropper. In the scheme, after general pilot signal transmissions at all nodes, each node broadcasts a weighted combination of its received signals with optimized coefficients, so that legitimate nodes can obtain the information of channels used for group key generation while the eavesdropper cannot. We also apply different quantization schemes for quantizing and encoding the estimated channels into keys. To provide detailed transmissions and processing steps of group key generation, we also describe the proposed scheme for 4-node mesh topology case. The simulation results show that the proposed scheme achieves a higher secret group key rate and a lower key disagreement rate than a benchmark scheme.