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In the two-user Gaussian Strong Interference Channel (GSIC) with finiteconstellation inputs, it is known that relative rotation between theconstellations of the two users enlarges the Constellation Constrained (CC)capacity region. In this paper, a metric for finding the approximate angle ofrotation (with negligibly small error) to maximally enlarge the CC capacity forthe two-user GSIC is presented. In the case of Gaussian input alphabets withequal powers for both the users and the modulus of both the cross-channel gainsbeing equal to unity, it is known that the FDMA rate curve touches the capacitycurve of the GSIC. It is shown that, with unequal powers for both the usersalso, when the modulus of one of the cross-channel gains being equal to one andthe modulus of the other cross-channel gain being greater than or equal to one,the FDMA rate curve touches the capacity curve of the GSIC. On the contrary, itis shown that, under finite constellation inputs, with both the users using thesame constellation, the FDMA rate curve strictly lies within (never touches)the enlarged CC capacity region throughout the strong-interference regime. Thismeans that using FDMA it is impossible to go close to the CC capacity. It iswell known that for the Gaussian input alphabets, the FDMA inner-bound, at theoptimum sum-rate point, is always better than the simultaneous-decodinginner-bound throughout the weak-interference regime. For a portion of the weakinterference regime, it is shown that with identical finite constellationinputs for both the users, the simultaneous-decoding inner-bound, enlarged byrelative rotation between the constellations, is strictly better than the FDMAinner-bound.

Two-User Gaussian Interference Channel with Finite Constellation Input and FDMA