Power Allocation and Parameter Estimation for Multipath-based 5G Positioning
Anastasios Kakkavas, Henk Wymeersch, Gonzalo Seco-Granados, Mario H., Casta\~neda Garc\'ia, Richard A. Stirling-Gallacher, Josef A. Nossek

TL;DR
This paper develops power allocation strategies for MIMO-OFDM systems to optimize 5G positioning accuracy, considering clock asynchronism and LOS detection, and introduces a gridless compressed sensing algorithm for position estimation.
Contribution
It proposes novel power allocation methods to minimize CRLB in 5G positioning, accounting for clock asynchronism and LOS detection, and introduces an asymptotically efficient gridless compressed sensing estimator.
Findings
Power allocation strategies reduce CRLB for positioning.
Clock asynchronism impacts optimal power distribution.
The proposed gridless compressed sensing method achieves asymptotic efficiency.
Abstract
We consider a single-anchor multiple-input multiple-output (MIMO) orthogonal frequency-division multiplexing (OFDM) system with imperfectly synchronized transmitter (Tx) and receiver (Rx) clocks, where the Rx estimates its position based on the received reference signals. The Tx, having (imperfect) prior knowledge about the Rx location and the surrounding geometry, transmits the reference signals based on a set of fixed beams. In this work, we develop strategies for the power allocation among the beams aiming to minimize the expected Cram\'er-Rao lower bound (CRLB) for Rx positioning. Additional constraints on the design are included to ensure that the line-of-sight (LOS) path is detected with high probability. Furthermore, the effect of clock asynchronism on the resulting allocation strategies is also studied. We also propose a gridless compressed sensing-based position estimation…
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