Abstract

In this paper, we propose a joint decoding scheme called AC-MAP decoder for multiple input single output (MISO) wireless cooperative communication network that consists of single source, single relay, and single destination. The proposed scheme is based on both Alamouti combining (AC) scheme and maximum a posteriori (MAP) decoder and is used to estimate the data at the destination. The AC-MAP decoder is optimal in the sense that it minimizes the end-to-end bit error rate (BER). In order to analyze performance of the proposed decoder, we derive a closed form expression for the upper bound (UB) on the end-to-end error probability. Distances between system nodes, transmit energy, and channel noise and fading effects are considered in the derivation of the UB. Numerical results show that the closed form UB is very tight and it almost coincides with the exact BER results obtained from simulations. Therefore, we use the derived UB expression to study the effects of the relay position on the BER performance and to find the optimal location of the relay node.

Highlights

  • In recent years, cooperative communication is gaining a significant attention where relay nodes can collaborate with the users to enhance the wireless network performance

  • We propose a joint decoding scheme called AC-maximum a posteriori (MAP) decoder that is based on both Alamouti combining (AC) scheme and maximum a posterior (MAP) decoder to estimate the data at the destination

  • We derive a closed from expression for the upper bound on the bit error probability of the decode-and-forward cooperation protocol with the proposed AC-MAP decoder

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Summary

Introduction

Cooperative communication is gaining a significant attention where relay nodes can collaborate with the users to enhance the wireless network performance. Relay nodes decode the received signals and forward the decoded data to the destination. We derive a closed from expression for the upper bound on the bit error probability of the decode-and-forward cooperation protocol with the proposed AC-MAP decoder. Since the proposed AC-MAP decoding scheme is optimal and the derived upper bound is very tight, the closed form expression for the UB on the BER is used to find the optimal location the relay node. The relay node decodes the data received from the source using Alamouti combining scheme by first calculating the decision variables r0 and r1 as follows r0 =h∗sr0ysr0 + hsr1y∗sr. In the case of BPSK modulation over flat fading channel with AWGN, the probability of error per bit in the source-relay link, i.e., P(ei = 1), is given by [22].

Maximum a posterior decoder
Proposed AC-MAP decoder
Derivation P2
Numerical result and discussions
Findings
Conclusions

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