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IET Information Security

Secret key establishment technique using channel state information driven phase randomisation in multiple‐input multiple‐output orthogonal frequency division multiplexing

Hasan Taha, Emad A. Alsusa

Published Mar 16, 2016• 6 citations
Publisher

Abstract

In wireless communication systems, the conventional secret key exchange is based on the public key cryptography, which requires complex computations to retain the secrecy level of these key bits. The proposed physical layer‐based algorithms have shown promising performance to extract secret keys from the privately shared randomness relying on the reciprocal channel state between both communicated nodes. In this study, the authors propose a physical layer key exchange method which transmits the key bits by encoding them within some phase randomisation (PR) sequences that are privately indexed to a specific channel criterion. The PR sequences only randomise the data phases and thus no efficiency reduction will be incurred. In fact, by choosing a pool of randomisation sequences with certain statistical properties, they could also be used to condition the signal to meet physical layer transmission requirements such as bandwidth, envelope and so on. They quantify the potential of the proposed method by demonstrating it within the context of a multiple‐input multiple‐output orthogonal frequency division multiplexing system. The results reveal that, relative to existing techniques, the proposed method offers superior key error rate performance at lower computational complexity with better secrecy level.

DOI
10.1049/iet-ifs.2014.0530

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In wireless communication systems, the conventional secret key exchange is based on the public key cryptography, which requires complex computations to retain the secrecy level of these key bits. The proposed physical layer‐based algorithms have shown promising performance to extract secret keys from the privately shared randomness relying on the reciprocal channel state between both communicated nodes. In this study, the authors propose a physical layer key exchange method which transmits the key bits by encoding them within some phase randomisation (PR) sequences that are privately indexed to a specific channel criterion. The PR sequences only randomise the data phases and thus no efficiency reduction will be incurred. In fact, by choosing a pool of randomisation sequences with certain statistical properties, they could also be used to condition the signal to meet physical layer transmission requirements such as bandwidth, envelope and so on. They quantify the potential of the proposed method by demonstrating it within the context of a multiple‐input multiple‐output orthogonal frequency division multiplexing system. The results reveal that, relative to existing techniques, the proposed method offers superior key error rate performance at lower computational complexity with better secrecy level.
In wireless communication systems, secret key is used to protect confidential transmission. The process of securely exchanging these key bits is critical. Most existing methods require cumbersome calculations which may not be appropriate for limited power devices. In this paper, we propose a physical layer key exchange method which transmits the key bits by encoding them within some phase randomization sequences that are selected according to a certain channel criterion. The phase randomization sequences only randomize the data phases and thus no efficiency reduction will be incurred. The proposed is demonstrated within the context of multiple-input multiple-output orthogonal frequency division multiplexing (MIMO- OFDM) system. The results reveal that, relative to existing techniques, this method offers superior performance and lower computational complexity.
In wireless communication systems, secret key is used to protect confidential transmission. The process of securely exchanging these key bits is critical. Most existing methods require cumbersome calculations which may not be appropriate for limited power devices. In this paper, we propose a physical layer key exchange method which transmits the key bits by encoding them within some phase randomization sequences that are selected according to a certain channel criterion. The phase randomization sequences only randomize the data phases and thus no efficiency reduction will be incurred. The proposed is demonstrated within the context of multiple-input multiple-output orthogonal frequency division multiplexing (MIMO- OFDM) system. The results reveal that, relative to existing techniques, this method offers superior performance and lower computational complexity.
Secret key establishment is considered to be one of the main challenging issues in cryptography. Many security algorithms are implemented in practice using complicated mathematical methods to exchange secret keys, but those methods are not desirable in power limited terminals such as cellular and sensor networks. In this paper, we propose a physical layer method for exchanging secret key bits in precoding based multi-input multi-output (MIMO) orthogonal frequency division multiplexing (OFDM) systems. The proposed method uniquely relates the key bits to the indices of the precoding matrix used for MIMO channel precoding. The basic idea of the technique is to utilize a MIMO-OFDM precoding codebook. Comparative analysis with respect to the average number of mismatch bits, named key error rate (KER), shows an interesting lead for the new method relative to existing work. In addition, it will be shown that the proposed technique requires lower computation per byte per secret key.
Along with the ongoing evolution of multiple antenna communication systems, new physical layer security techniques are continuing to achieve higher levels of secrecy. Most physical layer approaches, however, concern time division duplex (TDD) channels which rely on using the channel reciprocity feature as a shared randomness and tend to be associated with a large computational burden. In this paper, we propose a new physical layer method which utilizes private random precoding for exchanging the secret key bits in multiple-input-multiple-output (MIMO) systems. The principle of this method is to exploit the precoding matrix index in a manner that produces low correlation at the adversary. A robust key exchange between the transmitter and the receiver is established by uniquely relating the secret key bits to the channel precoding matrix using a private version of the universal codebooks. What is more is that the proposed method is applicable in both frequency division duplex (FDD) and TDD channels. The results demonstrate that the proposed method can offer superior performance in terms of the key agreement, secrecy level, and computational load.
The demands for higher data rates and network decentralized nodes in wireless communication systems urge the need for efficient methods to preserve the security levels. Many of the existing methods to share a private secret key between the connected nodes, tend to have high computational complexity. Furthermore, most physical layer approaches assume TDD systems to use the intrinsic feature of the reciprocal channels. In this paper, we propose a new method for exchanging secret key bits using a private random precoding based in MIMO FDD systems. The principle of this method is to exploit the PMI in a manner that produces low correlation at the intruder. By uniquely relating the secret key bits to the channel precoding matrix in a private version of the universal codebook, a robust key exchange between the transmitter and the receiver is then performed.
ABSTRACT This work proposes a secret key extraction technique from the complex impulse response (CIR) for secure orthogonal frequency division multiplexing (OFDM) wireless communication systems. Using time division duplexing (TDD), the legitimate transceivers exchange pilot tones within the channel coherence time to estimate their CIRs, from which the dominant peaks are selected and quantised into binary sequences using a mean‐referenced Heaviside rule. Simulations are conducted in MATLAB for OFDM systems over Additive White Gaussian Noise (AWGN) and Rayleigh fading channels with Binary Phase Shift Keying (BPSK) and Quadrature Phase Shift Keying (QPSK) modulation schemes. The proposed method is evaluated in terms of randomness, key disagreement rate (KDR), and key generation rate (KGR). For key lengths of 128 bits, 100,000 bits, and 1,000,000 bits, the generated key sequences pass 8, 9 and 15 tests, respectively, in the National Institute of Standards and Technology (NIST) statistical test suite, with all p ‐values greater than 0.01. Since the simulations are performed under ideal reciprocal channel conditions, the keys generated by the two legitimate users are identical, resulting in a KDR of 0 prior to any reconciliation process. In addition, because 16 dominant CIR peaks are extracted from each realisation and each peak contributes one bit, the proposed method achieves a constant KGR of 16 bits per CIR realisation. The results show that the proposed scheme provides a scalable and deterministic key generation mechanism with strong randomness, zero disagreement in simulation, and controllable generation efficiency.