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We study deterministic approximations of the Gaussian two-user multipleaccess wiretap channel (G-MAC-WT) and the Gaussian wiretap channel with ahelper (G-WT-H). These approximations enable results beyond the recently shown2/3 and 1/2 secure degrees of freedom (s.d.o.f.) for the G-MAC-WT and theG-WT-H, respectively. While the s.d.o.f. were obtained by real interferencealignment, our approach uses signal-scale alignment. We show achievable schemeswhich are independent of the rationality of the channel gains. Moreover, ourresults can differentiate between channel strengths, in particular between bothusers, and establishes secrecy rates dependent on this difference. We can showthat the resulting achievable secrecy rates tend to the s.d.o.f. for vanishingchannel gain differences. Moreover, we extend previous and develop newtechniques to prove general s.d.o.f. bounds for varying channel strengths andshow that our achievable schemes reach the bounds for certain channel gainparameters. We believe that our analysis is the next step towards aconstant-gap analysis of the G-MAC-WT and the G-WT-H.

On the Gaussian Multiple Access Wiretap Channel and the Gaussian Wiretap Channel with a Helper: Achievable Schemes and Upper Bounds