On the Sum Capacity of the Discrete Memoryless Interference Channel with One-Sided Weak Interference and Mixed Interference

TL;DR

This paper determines the sum capacity of a specific class of discrete memoryless interference channels with one-sided weak and mixed interference, using capacity region equivalences and outer bounds.

Contribution

It introduces a method to find sum capacity for channels analogous to Gaussian Z-interference channels and extends results to mixed interference scenarios.

Findings

Sum capacity achieved by single user detection at the interfering transmitter.

Capacity region equivalent to certain discrete degraded interference channels.

Derived sum capacity for channels with mixed interference.

Abstract

The sum capacity of a class of discrete memoryless interference channels is determined. This class of channels is defined analogous to the Gaussian Z-interference channel with weak interference; as a result, the sum capacity is achieved by letting the transceiver pair subject to the interference communicates at a rate such that its message can be decoded at the unintended receiver using single user detection. Moreover, this class of discrete memoryless interference channels is equivalent in capacity region to certain discrete degraded interference channels. This allows the construction of a capacity outer-bound using the capacity region of associated degraded broadcast channels. The same technique is then used to determine the sum capacity of the discrete memoryless interference channel with mixed interference. The above results allow one to determine sum capacities or capacity regions of several new discrete memoryless interference channels.