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Computer Knowledge and Technology

MIMO Detection Based on Grover's Algorithm

Li Fei

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

The MLD is the best detection algorithm in MIMO system.However,the computation complication of MLD emerges exponential increase.This is NP hard problem.Applying the quantum searching algorithm into MIMO system based quantum parallel computation can solve the problem efficiently.In this paper,a scheme based on Grover's algorithm is proposed with a discussion of its performances.

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Scientia Sinica Informationis•Feb 1, 2013•1 citation
The MLD is the best detection algorithm in MIMO system.However,the computation complication of MLD emerges exponential increase.This is NP hard problem.Applying the quantum searching algorithm into MIMO system based quantum parallel computation can solve the problem efficiently.In this paper,a scheme based on Grover's algorithm is proposed with a discussion of its performances.
Multiple input multiple output-orthogonal frequency division multiplexing (MIMO-OFDM) is considered as candidates for future broadband wireless services. In this paper a novel signal detection scheme based on Grover's quantum search algorithm is proposed for MIMO-OFDM systems. Grover's quantum search algorithm is based on the concept and principles of quantum computing, such as quantum bit, quantum register and quantum parallelism. An analysis is given to the theoretical basis of Grover's algorithm and the performance of Grover's algorithm is evaluated. A novel signal detector based on Grover's algorithm (GD) for MIMO-OFDM system is proposed. The simulation results show that the proposed detector has more powerful properties in bit error rate than MMSE detector and VBLAST-MMSE detector. The performance of the proposed GD detector is close to optimal when the failure probability is 0.001. When the failure probability is 0.00001, the performance of GD detector declines. In this case, our proposed improved Grover's algorithm based detector is still close to the optimal ML detector. The complexity of GD and IGD is O(√N). It's much better than classical ML detector which complexity is O(N).
The classical optimal solution of CDMA multi-user detection is consistent with the optimization of a quadratic function, and to find the optimum is a NP hard problem. Reducing the complexity of optimum based on quantum parallel computation is a new trend of multi-user detection techniques. In this paper, we propose a scheme based on Grover's searching algorithm to find the optimum. We give the relationship of bit error rate against signal-to-noise and correlation coefficient by numerical simulation, and simply evaluate the computational complexity of our proposed scheme. The results show that our solution has almost the same performance to the classical optimal one, however, with low complexity
Abstract Maximum like-lihood (ML) algorithm is the optimal detection scheme for the data detection of multiple-input multiple-output (MIMO) communication systems, but it has a high complexity in its preprocessing. For good performance and low complexity, a new Grover’s Quantum Search (GS) based data detection algorithm for MIMO system is proposed. It can increase the probability amplitude of solutions while reducing the probability amplitude of non-solutions. By Grover’s iterative process, the probability amplitude of solutions can reach maximum. So it can get the solutions after measurement with a high probability. The simulation results show that the proposed data detection algorithm for MIMO system has a very close to ML based data detection in Bit Error Rate (BER) performance, but it has lower complexity than ML based data detection algorithm.
In the VBLAST system, linear detection has low computational complexity, but its detection performance is poor. Conversely, Maximum Likelihood(ML) detection achieves optimal detection performance, but its computational complexity grows exponentially with the number of transmit antennas and the signal modulation order. This is a typical NP problem. To reduce the computational complexity of ML detection in the VBLAST system, while at the same time retaining optimal detection performance, an improved ML detection method is proposed in this paper. Both the quantum Grover and Grover-Long algorithms are used in the ML detection algorithm for the VBLAST system, and the complexity and performance of the algorithm are simulated. The simulation results show that not only is the computational complexity of Grover algorithm detection square accelerated, but also that the detection performance of the algorithm is close to that of ML detection. Moreover,this is the first time that a quantum algorithm is used to solve an engineering problem.
An investigation of the signal detection scheme with Grover algorithm in MIMO-OFDM system is developed,and Grover algorithm is applied to find the minimum value in order to decide the sending sequence.In order to test the efficiency and reliability of this algorithm,the analysis and comparison between Grover algorithm,improved Grover algorithm and other traditional algorithms are made by Matlab simulation.Experimental results show that it can reduce the complexity,while achieving the same performance of the traditional optimum detection algorithms.
In the VBLAST system, linear detection has low computational complexity, but its detection performance is poor. Conversely, Maximum Likelihood (ML) detection achieves optimal detection performance, but its computational complexity grows exponentially with the number of transmit antennas and the signal modulation order. This is a typical NP problem. To reduce the computational complexity of ML detection in the VBLAST system, while at the same time retaining optimal detection performance, an improved ML detection method is proposed in this paper. Both the quantum Grover and Grover-Long algorithms are used in the ML detection algorithm for the VBLAST system, and the complexity and performance of the algorithm are simulated. The simulation results show that not only is the computational complexity of Grover algorithm detection square accelerated, but also that the detection performance of the algorithm is close to that of ML detection. Moreover, this is the first time that a quantum algorithm is used to solve an engineering problem.