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Hence, we show that the aggregate multicast capacity of wireless ad hoc networks is O(√n) larger than the unicast capacity, when the group size n is small compared to the total number of nodes in the network.
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Moreover, the beamformer designed by I2DO can achieve a large majority of the multicast capacity, while the complexity of encoding and decoding is significantly reduced.
If else, we can always reach the upper bound of multicast capacity, no matter how many original errors.
Chan [13] gave the boundaries of the multicast capacity in secure network coding.
Obviously, the multicast capacity is an upper bound of all achievable rates.
The authors derived the max-flow min-cut theorem to demonstrate the benefit of network coding by allowing each destination of a multicast session to receive data up to the multicast capacity.
Based on linear superposition of incoming packets at intermediate nodes, linear network coding achieves multicast capacity in single-source wired networks [2].
Furthermore, at any SNR, the performance of both BU and WU quickly decreases as the multicast group size increases, which indicates that for a large group size, neither multicast gain nor multiuser diversity alone can fully exploit multicast capacity and a hybrid treatment is more suitable.
Here, the multicast capacity is achieved by a multi-rank precoder[14].
A recent work on analyzing multicast capacity with beamforming is [102].
Li et al. [8] proved that linear network coding is sufficient to achieve the multicast capacity.
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