Cramér-Rao Lower Bound on AoA Estimation Using an RF Lens-Embedded Antenna Array

Jae Nam Shim, Hongseok Park, Chan Byoung Chae, Dong Ku Kim, Yonina C. Eldar

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


In this letter, we investigate the Cramér-Rao lower bound (CRLB) on angle of arrival (AoA) estimation of an RF lens-embedded antenna array. We first derive an expression for the received signal, in terms of intrinsic lens characteristics, using an RF lens-embedded antenna array. As the AoA changes, the received signal through the RF lens also changes in amplitude. This differentiates the RF lens-embedded antenna array from a conventional uniform linear array (ULA) without an RF lens. Based on this property, we next derive the CRLB on AoA estimation and confirm that the CRLB of an RF lens-embedded antenna array may be better than the CRLB for a conventional ULA in a certain desired range. The results can be used as a guideline for designing RF lens-embedded antenna arrays in fifth generation localization.

Original languageEnglish
Article number8488554
Pages (from-to)2359-2363
Number of pages5
JournalIEEE Antennas and Wireless Propagation Letters
Issue number12
Publication statusPublished - 2018 Dec

Bibliographical note

Funding Information:
Manuscript received August 13, 2018; revised September 17, 2018; accepted October 2, 2018. Date of publication October 10, 2018; date of current version November 29, 2018. This work was partly supported by Institute for Information communications Technology Promotion (IITP) grant funded by the Korea government (MSIT) (2016-0-00208, High Accurate Positioning Enabled MIMO Transmission and Network Technologies for Next 5G-V2X Services) and IITP grant funded by the MSIT (2015-0-00300, Multiple Access Technique with Ultra-Low Latency and High Efficiency for Tactile Internet Services in IoT Environments). (Corresponding author: Dong Ku Kim.) J.-N. Shim, H. Park, and D. K. Kim are with the School of Electrical and Electronic Engineering, Yonsei University, Seoul 03722, South Korea (e-mail:,;;

Publisher Copyright:
© 2002-2011 IEEE.

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


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