학술논문

Multilevel Coding Schemes for Compute-and-Forward With Flexible Decoding
Document Type
Periodical
Source
IEEE Transactions on Information Theory IEEE Trans. Inform. Theory Information Theory, IEEE Transactions on. 59(11):7613-7631 Nov, 2013
Subject
Communication, Networking and Broadcast Technologies
Signal Processing and Analysis
Relays
Decoding
Lattices
Transmitters
Linear code
Reliability
Compute-and-forward (CF)
decode-and-forward
multilevel coding
network coding
two-way relaying
Language
ISSN
0018-9448
1557-9654
Abstract
We consider the design of coding schemes for the wireless two-way relaying channel when there is no channel state information at the transmitter. In the spirit of the compute-and-forward paradigm, we present a multilevel coding scheme that permits reliable computation (or, decoding) of a class of functions at the relay. The function to be computed (or decoded) is then chosen depending on the channel realization. We define such a class of functions which can be decoded at the relay using the proposed coding scheme and derive rates that are universally achievable over a set of channel gains when this class of functions is used at the relay. We develop our framework with general modulation formats in mind, but numerical results are presented for the case where each node transmits using 4-ary and 8-ary modulation schemes. Numerical results demonstrate that the flexibility afforded by our proposed scheme results in substantially higher rates than those achievable by always using a fixed function or considering only linear functions over higher order fields.