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    Secret-Key Agreement with Public Discussion over Multi-Antenna Transmitters with Amplitude Constraints

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    Type
    Conference Paper
    Authors
    Rezki, Zouheir
    Alouini, Mohamed-Slim cc
    KAUST Department
    Communication Theory Lab
    Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
    Electrical and Computer Engineering Program
    Date
    2017
    Permanent link to this record
    http://hdl.handle.net/10754/670695
    
    Metadata
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    Abstract
    We consider secret-key agreement with public discussion over a multiple-input single output (MISO) Gaussian channel with an amplitude constraint. We prove that the capacity is achieved by a discrete input, i.e., an input whose support is sparse. The proof follows from the concavity of the conditional mutual information in terms of the input distribution and hence the Karush-Kuhn-Tucker (KKT) condition provides a necessary and sufficient condition for optimality. Then, a contradiction argument that rules out the non-sparsity of any optimal input's support is utilized. The latter approach is essential to apply the identity theorem in a multidimensional setting as R n is not an open subset of C n .
    Citation
    Rezki, Z., & Alouini, M.-S. (2017). Secret-key agreement with public discussion over multi-antenna transmitters with amplitude constraints. 2017 IEEE International Symposium on Information Theory (ISIT). doi:10.1109/isit.2017.8006786
    Conference/Event name
    2017 IEEE International Symposium on Information Theory (ISIT)
    DOI
    10.1109/ISIT.2017.8006786
    Additional Links
    https://ieeexplore.ieee.org/document/8006786
    ae974a485f413a2113503eed53cd6c53
    10.1109/ISIT.2017.8006786
    Scopus Count
    Collections
    Conference Papers; Electrical and Computer Engineering Program; Communication Theory Lab; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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