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In many communication channels, secrecy constraints usually incur a penaltyin capacity, as well as generalized degrees-of-freedom (GDoF). In this work weshow an interesting observation that, adding a helper can totally remove thepenalty in sum GDoF, for a two-user symmetric Gaussian interference channel.For the interference channel where each transmitter sends a message to anintended receiver without secrecy constraints, the sum GDoF is a well-known "W"curve, characterized by Etkin-Tse-Wang in 2008. If the secrecy constraints areimposed on this interference channel, where the message of each transmittermust be secure from the unintended receiver (eavesdropper), then a GDoF penaltyis incurred and the secure sum GDoF is reduced to a modified "W" curve, derivedby Chen recently. In this work we show that, by adding a helper into thisinterference channel with secrecy constraints, the secure sum GDoF turns out tobe a "W" curve, which is the same as the sum GDoF of the setting withoutsecrecy constraints. The proposed scheme is based on the cooperative jammingand a careful signal design such that the jamming signal of the helper isaligned at a specific direction and power level with the information signals ofthe transmitters, which allows to totally remove the penalty in GDoF due to thesecrecy constraints. Furthermore, the estimation approaches of noise removaland signal separation due to the rational independence are used in the securerate analysis.

Adding a Helper Can Totally Remove the Secrecy Constraints in Interference Channel