| Paper ID | D5-S4-T1.1 |
| Paper Title |
A Discretization Approach to Compute–Forward |
| Authors |
Adriano Pastore, CTTC, Spain; Sung Hoon Lim, Hallym University, Korea (South); Chen Feng, University of British Columbia, Canada; Bobak Nazer, Boston University, United States; Michael Gastpar, EPFL, Switzerland |
| Session |
D5-S4-T1: Multiple Access Capacity II |
| Chaired Session: |
Friday, 16 July, 23:00 - 23:20 |
| Engagement Session: |
Friday, 16 July, 23:20 - 23:40 |
| Abstract |
We present a novel unified framework of compute-forward achievable rate regions for simultaneous decoding of multiple linear codeword combinations. This framework covers a wide class of discrete and continuous-input channels, and computation over finite fields, integers, and reals. The resulting rate regions recover several well-known achievability results, and in some cases extend them. The framework is built upon a recently established achievable rate region based on linear codes and joint typicality decoding. The latter is extended from finite fields to computation over the integers and, via a discretization approach, to computation over the reals with integer coefficients and continuous inputs. Evaluating the latter with Gaussian distributions, we obtain a closed-form rate region which generalizes the classic compute-forward rates originally derived by means of lattice codes by Nazer and Gastpar.
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