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This paper studies the capacity of the two-receiver multiple-input broadcast packet erasure channels (PECs) with channel output feedback, which is in contrast with the single-input setting of the existing works. Motivated by the immense success of linear network coding (LNC) in theory and in practice, this paper first focuses on LNC schemes and(More)
Recently, a new precoding-based intersession network coding (NC) scheme has been proposed, which applies the interference alignment technique, originally devised for wireless interference channels, to the 3-unicast problem of directed acyclic networks. Motivated by the graph-theoretic characterizations of classic linear NC results, this paper investigates(More)
<b>Introduction</b> A closer look at the mature networks and ecological behaviors in businesses allows us to appreciate "a business ecosystem." This type of ecosystem is defined as an economic community involving many companies working together to gain comparative advantages as a result of their symbiotic relationships. Ecosystems permit companies to(More)
A new precoding-based intersession network coding (NC) scheme has recently been proposed, which applies the interference alignment technique, originally devised for wireless interference channels, to the 3-unicast problem of directed acyclic networks. The main result of this work is a graph-theoretic characterization of the feasibility of the 3-unicast(More)
Relaying has proven to be an effective method of providing additional spatial diversity on wireless fading channels. This paper proposes a system of XORing at the relay with iterative maximum a posteriori (MAP) decoding at the destination. An XOR-relay offers an increased number of diversity paths, enabling the destination to construct a cycle- free(More)
In this paper, we propose an asymmetric diversity modulation (ADM) scheme for a single-source relay system that utilizes the relay's higher transmission ability as a form of diversity. To achieve this, the proposed method transmits multiple source bits over a high-order modulating relay as a way to provide additional time diversity. The spatial and time(More)
This work considers the fully-connected 3-node packet erasure network: For each time slot, with some probabilities a packet sent by any node i may be received by both of the other nodes j and k; received only by node j (or node k); or received by neither nodes. Interference is avoided by enforcing that at most one node can transmit in each time slot. We(More)
Random linear network coding (RLNC) is widely used in practical network coding (NC) protocol design. Recent results show that RLNC also plays an important role in capacity-achieving intersession NC schemes for erasure-based 1-hop relay networks. This work quantifies the common information of RLNC over a 1-hop broadcast packet erasure channel. Several(More)