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IEEE Access

A Two-Layer Secure Quantization Algorithm for Secret Key Generation With Correlated Eavesdropping Channel

Henglei Jin, Kaizhi Huang, Shuaifang Xiao, Yangming Lou, Xiaoming Xu, Yajun Chen

Published Jan 1, 2019• 13 citations
Publisher

Abstract

When the eavesdropping channel has a certain correlation with the legitimate channel, the physical layer key is susceptible to eavesdroppers. To ensure the security of the secret key, we propose a two-layer secure (TLS) quantization algorithm in this paper. First, we model the correlation between the distance and the channel correlation and derive the joint probability density function of channel phase and the key capacity. Then, we describe the detail of the TLS algorithm and prove the validity of our algorithm. Finally, we evaluate the performances of the TLS quantization algorithm using two parameters-key rate and bit disagreement rate. The Simulation results verify the effectiveness of the algorithm.

DOI
10.1109/access.2019.2893594

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When the eavesdropping channel has a certain correlation with the legitimate channel, the physical layer key is susceptible to eavesdroppers. To ensure the security of the secret key, we propose a two-layer secure (TLS) quantization algorithm in this paper. First, we model the correlation between the distance and the channel correlation and derive the joint probability density function of channel phase and the key capacity. Then, we describe the detail of the TLS algorithm and prove the validity of our algorithm. Finally, we evaluate the performances of the TLS quantization algorithm using two parameters-key rate and bit disagreement rate. The Simulation results verify the effectiveness of the algorithm.
In this paper, we investigate the physical layer key generation scheme in most realistic scenarios where the correlation between the legitimate channel and the eavesdropping channel is considered. To degrade the correlation and improve the key generation capacity, a physical layer key generation scheme through scrambling the correlated eavesdropping channel is proposed. Firstly, the artificial noise is sent superimposed over pilots from the legitimate transmitter to confuse the eavesdropper. The artificial noise precoding matrix is randomly selected from decomposed unitary matrices orthogonal to the legitimate channel resulting in having no effect on legitimate channel. Then, the vector quantization algorithm and the winnow algorithm are respectively applied to quantize the channel characteristic and negotiate the generated random sequences to generate the final key. To further support the performance, we next present a power optimization scheme allocated to sending the artificial noise to maximize the generated key capacity under the total transmission power constraint. Finally, simulation results are presented to validate the effectiveness of our proposed scheme.
Key generation technique generates symmetric keys based on the temporal variation, reciprocity and spatial decorrelation of the wireless channel. Most key generation schemes, however, assume that the eavesdropping channels are independent of the main channel and neglect the influence of the eavesdroppers. In this paper, we analyze the secret key capacity taking into account the information leaked to eavesdroppers, and the security analysis shows the eavesdropping channel correlation will reduce the secret key capacity. Then we propose a security channel estimating (SCE) scheme to resist eavesdroppers and the scheme is shown to be efficient. Finally, we use the Monte Carlo simulation verifies the theoretical analysis results.
With a massive amount of wireless sensor nodes in Internet of Things (IoT), it is difficult to establish key distribution and management mechanism for traditional encryption technology. Alternatively, the physical layer key generation technology is promising to implement in IoT, since it is based on the principle of information-theoretical security and has the advantage of low complexity. Most existing key generation schemes assume that eavesdropping channels are independent of legitimate channels, which may not be practical especially when eavesdropper nodes are near to legitimate nodes. However, this paper investigates key generation problems for a multi-relay wireless network in IoT, where the correlation between eavesdropping and legitimate channels are considered. Key generation schemes are proposed for both non-colluding and partially colluding eavesdroppers situations. The main idea is to divide the key agreement process into three phases: 1) we first generate a secret key by exploiting the difference between the random channels associated with each relay node and the eavesdropping channels; 2) another key is generated by integrating the residual common randomness associated with each relay pair; 3) the two keys generated in the first two phases are concatenated into the final key. The secrecy key performance of the proposed key generation schemes is also derived with closed-forms.
Within the paradigm of physical layer secrecy, typically a physical layer specific characteristic is used as key generator to guarantee information hiding from eavesdroppers. In this paper, we propose a novel secret key generation algorithm based on two reciprocal physical layer parameters; the channel measurements and the distances between the two communicating nodes. The two parameters are estimated experimentally using implementations of our algorithm on three FPGA-based WARP kits emulating the two communicating nodes and the eavesdropper. The parameters are used as common sources of randomness to generate the secret key. We evaluate the performance of our algorithm through extensive iterations. We compare the bit mismatch rate as well as the entropy of the generated secret key of our algorithm versus classical channel only and distance only based algorithms. Our results reveal that even in the worst case scenarios, our algorithm outperforms the two other algorithms and overcomes their vulnerabilities.
In this paper, we propose a novel physical-layer secret key generation (SKG) scheme, which is based on reduced random pilot selection at a legitimate transmitter and channel interpolation at a legitimate receiver. As a result, the proposed scheme is capable of reducing pilot overhead and increasing secret key capacity (SKC) while suppressing information leakage to an eavesdropper in a correlated eavesdropping channel. More specifically, a subset of full pilot sequence is activated based on the legitimate channels at the legitimate transmitter, and the full channel coefficients are estimated from the received pilot symbol subset at the legitimate receiver with the aid of our channel interpolation. Additionally, despite the non-reciprocal channel due to the presence of a Doppler shift and an additive noise, our scheme achieves high SKG reliability in comparison to that without our reduced pilot selection or channel interpolation. We also derive the theoretical SKC for the proposed scheme. Our simulation results demonstrate that the proposed SKG scheme exhibits a higher performance in terms of both the SKC and key disagreement ratio.
With the wide application of wireless sensor network, the security mechanism based on cryptography faces many challenges in computational complexity and security, and physical layer secret key extraction as an alternative solution has been widely studied. To meet the requirements of high key generation rate (KGR) and low key disagreement rate (KDR) in the secret key extraction process, an improved channel quantization alternating (CQA) algorithm is proposed in this paper. The algorithm filtrates the phase values of channel frequency response (CFR) using test results of CFR amplitude values, and then quantizes the reserved phase values by CQA algorithm. Compared to the existing CQA algorithm and improved channel quantization with guard-band (CQG) algorithm, simulation results show that the KDR of the proposed algorithm decreases by 31.5% and 20.4%, and the KGR decreases by 5.4% and increases by 5.2%, respectively. The proposed algorithm improves the KGR while ensuring a low KDR, and the extracted secret key passes the NIST test.