Abstract
In this paper, we consider a multicasting multiple-input multiple-output (MIMO) relay system where multiple transmitters multicast their own messages to a group of receivers over multiple hops, and all nodes are equipped with multiple antennas. The joint transmit and relay precoding design problem has been investigated for multicasting multiple data streams based on min-max mean-squared error (MSE) criterion. We aim at minimizing the maximal MSE of the signal waveform estimation among all receivers subjecting to power constraints at the transmitters and all the relay nodes. This problem is highly nonconvex with matrix variables and the exactly optimal solution is very hard to obtain. We develop an iterative algorithm to jointly optimize the transmitter, relay, and receiver matrices by solving convex subproblems. By exploiting the optimal structure of the relay precoding matrices, we then propose a low complexity solution for the problem under some mild approximation. In particular, we show that under (moderately) high signal-to-noise ratio assumption, the min-max optimization problem can be solved using the semidefinite programming technique. Numerical simulations demonstrate the effectiveness of the proposed algorithms.
Highlights
INTRODUCTIONI N many practical communication systems, multiple users (transmitters) need to send their messages to a group of receivers simultaneously
I N many practical communication systems, multiple users need to send their messages to a group of receivers simultaneously
Multicasting enables a single transmission to be received by multiple users, significantly reducing the required bandwidth
Summary
I N many practical communication systems, multiple users (transmitters) need to send their messages to a group of receivers simultaneously. Joint transmit and relay precoding design problems were investigated in [21], [22] for a two-hop multicasting MIMO relay system where all nodes are equipped with multiple antennas. We consider multi-hop multicasting MIMO relay systems where multiple transmitters multicast their messages to a group of receivers with the aid of multiple relay nodes located in series. The algorithms developed in this paper can be straightforwardly extended to multicasting systems where receivers have different number of antennas The transmitters multicast their information-carrying symbols to all receivers with the aid of L − 1 relay nodes. L − 1 is the Nl × Nl−1 MIMO channel matrix of the lth hop (N0 = Nb), yl and nr,l are the Nl × 1 received signal and additive Gaussian noise vectors introduced at the lth relay node, respectively. The aforementioned QoS measures can be expressed in terms
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