We consider the potential for positioning with a system where antenna arrays are deployed as a large intelligent surface (LIS). We derive Fisher- informations and Cram\''{e}r-Rao lower bounds (CRLB) in closed-form for terminals along the central perpendicular line (CPL) of the LIS for all three Cartesian dimensions. For terminals at positions other than the CPL, closed-form expressions for the Fisher-informations and CRLBs seem out of reach, and we alternatively provide approximations (in closed-form) which are shown to be very accurate. We also show that under mild conditions, the CRLBs in general decrease quadratically in the surface-area for both the $x$ and $y$ dimensions. For the $z$-dimension (distance from the LIS), the CRLB decreases linearly in the surface-area when terminals are along the CPL. However, when terminals move away from the CPL, the CRLB is dramatically increased and then also decreases quadratically in the surface-area. We also extensively discuss the impact of different deployments (centralized and distributed) of the LIS.


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    Title :

    Cramér-Rao Lower Bounds for Positioning with Large Intelligent Surfaces


    Contributors:
    Hu, Sha (author) / Rusek, Fredrik (author) / Edfors, Ove (author)


    Publication date :

    2017-09-01


    Size :

    301750 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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