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In this paper, we consider a Joint Network Channel Decoding (JNCD) algorithm applied to a wireless network consisting to M users. For this purpose M sources desire to send information to one receiver by the help of an intermediate node which is the relay. The Physical Layer Network Coding (PLNC) allows the relay to decode the combined information being sent from different transmitters. Then, it forwards additional information to the destination node which receives also signals from source nodes. An iterative JNCD algorithm is developed at the receiver to estimate the information being sent from each transmitter. Simulation results show that the Bit Error Rate (BER) can be decreased by using this concept comparing to the reference one which doesn't consider the network coding.

In this paper, we consider a Generalized Joint Channel Network Coding (GJCNC) scheme applied to Physical Layer Network Coding (PLNC) for a sensor network. For this purpose, M correlated sources desire to send information to one receiver by the help of a relay. The main goal is to estimate the information being sent from the last source at the destination by using the informations from sources and relay. For this purpose, we propose firstly a classic joint channel network coding at the relay which consider each source signal separately. Then, an optimization of this scheme is done by grouping by pair the nodes in the sensor network. The GJCNC decoding algorithm for each pair of sources is performed at the relay to improve performance. So, an iterative decoding scheme is proposed at the destination to extract the information sent from the last source. Simulation results show that by exploiting the correlation between sources, a significant gain can be achieved.