On The Binary Lossless Many-Help-One Problem with Independently Degraded Helpers

Author(s)

Wolf, Albrecht ; Gonzalez, Diana Cristina ; Dorpinghaus, Meik ; Silveira Santos Filho, Jose Candido ; Fettweis, Gerhard ; IEEE

• Document type: Journal article
• Source: 2018 56TH ANNUAL ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING (ALLERTON); v. N/A, p. 5-pg., 2018-01-01.

Abstract

Although the rate region for the lossless manyhelp- one problem with independently degraded helpers is already "solved", its solution is given in terms of a convex closure over a set of auxiliary random variables. Thus, for any such a problem in particular, an optimization over the set of auxiliary random variables is required to truly solve the rate region. Providing the solution is surprisingly difficult even for an example as basic as binary sources. In this work, we derive a simple and tight inner bound on the rate region's lower boundary for the lossless many-help-one problem with independently degraded helpers when specialized to sources that are binary, uniformly distributed, and interrelated through symmetric channels. This scenario finds important applications in emerging cooperative communication schemes in which the direct-link transmission is assisted via multiple lossy relaying links. Numerical results indicate that the derived inner bound proves increasingly tight as the helpers become more degraded. (AU)

• FAPESP's process: 16/05847-0 - Performance Evaluation of Cooperative Schemes in "Links-on-The-Fly" Networks
• Grantee: Diana Cristina González González
• Support Opportunities: Scholarships in Brazil - Post-Doctoral