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IEICE Technical Report; IEICE Tech. Rep.

A Study on Secret Key Agreement Scheme by Vector Quantization of Correlated MIMO Channel Matrix

Tomoyuki Higashide, Shinsuke Ibi, Takumi Takahashi, Hisato Iwai

Published Jan 14, 2021• 0 citations
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Wireless communication is riskier than wired communication due to eavesdrop by unauthorized stations. To deal with this problem, public key cryptosystem and common key cryptosystem are used in general. In contrast, key agreement schemes based on information-theoretically security attract attention. One example is a secret key agreement scheme based on radio wave propagation characteristics. This technique uses channel reciprocity and location dependency of radio wave propagation. Most of the secret key agreement schemes generate keys by scalar quantization. However, secret keys generated by scalar quantization occur key disagreement in higher probability than these by vector quantization. A general quantizer selection scheme selects a quantizer with minimum key disagreement between two authorized stations. An eavesdropper is able to generate keys with this quantizer more easily. This paper assumes correlated MIMO channel, and proposed the quantizer utilizing correlation between authorized stations as key information and the quantizer selection scheme taking key entropies leak to eavesdroppers into consideration. This scheme that reduces information leaks to eavesdropper maintaining key disagreement probability between authorized stations.

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Wireless communication is riskier than wired communication due to eavesdrop by unauthorized stations. To deal with this problem, public key cryptosystem and common key cryptosystem are used in general. In contrast, key agreement schemes based on information-theoretically security attract attention. One example is a secret key agreement scheme based on radio wave propagation characteristics. This technique uses channel reciprocity and location dependency of radio wave propagation. Most of the secret key agreement schemes generate keys by scalar quantization. However, secret keys generated by scalar quantization occur key disagreement in higher probability than these by vector quantization. A general quantizer selection scheme selects a quantizer with minimum key disagreement between two authorized stations. An eavesdropper is able to generate keys with this quantizer more easily. This paper assumes correlated MIMO channel, and proposed the quantizer utilizing correlation between authorized stations as key information and the quantizer selection scheme taking key entropies leak to eavesdroppers into consideration. This scheme that reduces information leaks to eavesdropper maintaining key disagreement probability between authorized stations.
In physical-layer security, secret bits are extracted from wireless channels. With the assumption of channel reciprocity, the legitimate users share the same channel which is independent of the channels between the legitimate users and the eavesdropper, leading to secure transmissions. However, practical implementation of the physical layer security faces many challenges. First, for the correlated channel such as the multiple-input and multiple-output (MIMO) channel, the security is decreased due to the correlation between the generated secret bits. Second, the nearby eavesdropper posts a security threat due to observing the same channel as the legitimate user's. Third, the eavesdroppers might try to reconstruct the wireless environments. In this paper, we propose two practical physical layer security schemes for the MIMO orthogonal frequency-division multiplexing (MIMO-OFDM) systems: the precoding matrix index (PMI)-based secret key generation with rotation matrix (MOPRO) and the channel quantization-based (MOCHA) scheme. The former utilizes PMI and rotated reference signals to prevent the eavesdroppers from learning the secret key information and the latter applies channel quantization in order to extract more secret key bits. It is shown that not only the secure communication but also the MIMO gain can be guaranteed by using the proposed schemes.