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arXiv:quant-ph/0201039

Positive Operation Valued Measurement Based Multi-User Detection in DS-CDMA Systems

Sándor Imre, Ferenc Balázs

Published Jan 10, 2002• 2 citations
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Abstract

3G and 4G mobile are based on CDMA technology. In order to increase the effectiveness of CDMA receivers large amount of effort is invested to develop suitable multi-user detector techniques. However, at this moment there are only suboptimal solutions available because of the rather high complexity of optimal detectors. One of the possible receiver technologies can be the quantum assisted computing devices which allows high level parallelism in computation. The first commercial devices are estimated by 2004, which meets the advert of 3G and 4G systems. In this paper we introduce a novel quantum computation based Quantum Multi-user detection (QMUD) algorithm, employing simple Positive Operation Valued Measurement (POVM), which provides optimal solution. The proposed algorithm is robust to any kind of noise.

DOI
10.48550/arxiv.quant-ph/0201039

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3G and 4G mobile are based on CDMA technology. In order to increase the effectiveness of CDMA receivers large amount of effort is invested to develop suitable multi-user detector techniques. However, at this moment there are only suboptimal solutions available because of the rather high complexity of optimal detectors. One of the possible receiver technologies can be the quantum assisted computing devices which allows high level parallelism in computation. The first commercial devices are estimated by 2004, which meets the advert of 3G and 4G systems. In this paper we introduce a novel quantum computation based Quantum Multi-user detection (QMUD) algorithm, employing simple Positive Operation Valued Measurement (POVM), which provides optimal solution. The proposed algorithm is robust to any kind of noise.
3G and 4G mobile systems are based on CDMA technology. In order to increase the efficiency of CDMA receivers a large amount of effort is invested to develop suitable multi-user detector techniques. However, at this moment there are only suboptimal solutions available because of the rather high complexity of optimal detectors. One of the possible receiver technologies can be the quantum assisted computing devices which allows high level parallelism in computation. The first commercial devices are estimated by 2004, which meets the advent of 3G and 4G systems. We introduce a novel quantum computation based quantum multi-user detection (QMUD), employing Grover's (see Bell Labs, April 1999)search algorithm, which provides optimal solution. The proposed algorithm is robust to any kind of noise/suboptimal solutions.
Future wired and wireless communication systems will employ pure or combined code division multiple access (CDMA) techniques, such as in the European 3G mobile UMTS or power line communications system, but also several 4G proposals include, for example, multicarrier (MC) CDMA. Previous investigations discovered the drawbacks of single user detectors (SUD), which are widely employed in narrowband IS-95 CDMA systems, and were forced to develop suitable multiuser detection schemes to increase the efficiency against interference. However, at this moment there are only suboptimal solutions available became of the rather high complexity of optimal detectors. One of the possible receiver technologies may be quantum assisted computing devices which allow high level parallelism in computation. The first commercial devices are estimated for the next years, which meets the advent of 3G and 4G systems. We analyze the error probability and give tight bounds in a static and dynamically changing environment for a novel quantum computation based quantum multi-user detection (QMUD) algorithm, employing a quantum counting algorithm, which provides an optimal solution.
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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
Multi-Carrier Code Division Multiple Access (MC-CDMA) is considered as one of the major techniques used in 4G broadband wireless services.It combines the advantages of the OFDM systems, of robustness to the multi path effects, and the advantages of CDMA systems, which are high privacy and security.However, a problem appears in the detection of transmitted information because of the effect of noise, fading and other multipath effects.In this paper, Grover's quantum search algorithm based MC-CDMA detector is proposed as a solution for this problem.Grover's quantum search algorithm is based on the concepts of quantum computing, such as quantum bit, quantum register and quantum parallelism.The performance of the proposed detector was realized and compared with previous works.The simulation results showed the superiority of the proposed detector in BER performance.The performance of the proposed detector showed that it is very close to the optimum.