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Despite the simplicity of the scheme of treating interference as noise (TIN),it was shown to be sum-capacity optimal in the Gaussian 2-user interferencechannel in \cite{ShangKramerChen,MotahariKhandani,AnnapureddyVeeravalli}. Inthis paper, an interference network consisting of a point-to-point channelinterfering with a multiple access channel (MAC) is considered, with focus onthe weak interference scenario. Naive TIN in this network is performed by usingGaussian codes at the transmitters, joint decoding at the MAC receiver whiletreating interference as noise, and single user decoding at the point-to-pointreceiver while treating both interferers as noise. It is shown that this naiveTIN scheme is never optimal in this scenario. In fact, a scheme that combinesboth time division multiple access and TIN outperforms the naive TIN scheme. Anupper bound on the sum-capacity of the given network is also derived.

Sub-optimality of Treating Interference as Noise in the Cellular Uplink