Generalized multiplicative network coding for the broadcast phase of bidirectional relaying

DMF-SC: Exploring diversity of order two in TDBC without channel state information

“…Moreover, no channel state information is needed at the terminals with the proposed DMF-SC based TDBC protocol. Meanwhile, the BER performance of the proposed DMF-SC based TDBC protocol outperforms that of the DAF [24,25], DDF [10][11][12][13] and multiplicative network coding protocols [27,28]. Fig.…”

“…Binary data is differentially encoded for M = 2, 4 constellations. The BER performances of the DAF [24,25], DDF [10][11][12][13] and multiplicative network coding protocols [27,28] are also depicted for comparison. Mapping schemes for DDF relaying using D-BPSK and D-QPSK with Gray mapping follow the well-known XOR operation.…”

“…The decision variables for the direct and cascaded links at the terminal node are selective combined to obtain the cooperative diversity. Theoretical analyses and simulation results show that the proposed DMF-SC protocol can obtain an order two cooperative diversity, and outperforms AF [24,25], DF [10][11][12][13] and multiplicative network coding protocols [27,28] with differential modulation. Meanwhile, in contrast to the maximum ratio combining (MRC) and semi-MRC [16,30] based combining protocols, no channel information is needed at the terminals with the proposed DMF-SC based TDBC protocol.…”

“…In [27], the multiplicative NC is proposed for three phase bi-directional relaying with constant amplitude modulation. The authors in [28] extend the multiplicative NC to generalized modulation scheme by using a-priori information. Unfortunately, the above two multiplicative NC schemes in [27,28] do not explore the cooperative diversity brought by direct link.…”

“…The authors in [28] extend the multiplicative NC to generalized modulation scheme by using a-priori information. Unfortunately, the above two multiplicative NC schemes in [27,28] do not explore the cooperative diversity brought by direct link. Meanwhile, these methods assume that both the sources and the relay have perfect knowledge of CSI of all links.…”