Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study a multi-antenna broadcast channel with two legitimate receivers and an external eavesdropper.  assume that the channel matrix of the eavesdropper is unknown to the legitimate terminals but satisfies a maximum rank constraint. As our main result  characterize the associated secrecy degrees of freedom for the broadcast channel with common and private messages.  show that a direct extension of the single-user wiretap codebook does not achieve the secrecy degrees of freedom. Our proposed optimal scheme involves decomposing the signal space into a common subspace, which can be observed by both receivers, and private subspaces which can be observed by only one of the receivers, and carefully transmitting a subset of messages in each subspace.  also consider the case when each user's private message must additionally remain confidential from the other legitimate receiver and characterize the s.d.o.f. region in this case.
['Xiang He', 'Ashish Khisti', 'Aylin Yener']
I am writing a research paper on a idea MIMO Broadcast Channel with an Unknown Eavesdropper: Secrecy Degrees of Freedom
[{"from": "human", "value": "I am writing a research paper on a idea MIMO Broadcast Channel with an Unknown Eavesdropper: Secrecy Degrees of Freedom"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study a multi-antenna broadcast channel with two legitimate receivers and an external eavesdropper.  assume that the channel matrix of the eavesdropper is unknown to the legitimate terminals but satisfies a maximum rank constraint. As our main result  characterize the associated secrecy degrees of freedom for the broadcast channel with common and private messages.  show that a direct extension of the single-user wiretap codebook does not achieve the secrecy degrees of freedom. Our proposed optimal scheme involves decomposing the signal space into a common subspace, which can be observed by both receivers, and private subspaces which can be observed by only one of the receivers, and carefully transmitting a subset of messages in each subspace.  also consider the case when each user's private message must additionally remain confidential from the other legitimate receiver and characterize the s.d.o.f. region in this case."}]