Lower bounds for wideband direction-finding with mutual coupling

David B. Alexander, Ram M. Narayanan, Braham Himed

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations


This paper examines lower bounds on direction-of-arrival (DOA) estimation performance for radar systems with considerations made for wideband mutual coupling. For typical half-wavelength element spacing, array elements exhibit a degree of interaction with each other that may alter the currents on each element. We account for mutual coupling in the wideband case by implementing a least-squares inverse solution for mutual coupling interactions as a function of frequency. A coupling-impacted received data covariance is produced, which allows us to observe the effect of coupling on performance lower bounds, including the Cramér-Rao Lower Bound (CRLB) and the Ziv-Zakai Bound (ZZB). The ZZB was the focus as it holds at low SNR. Using the aforementioned bounds, we examined the impact of mutual coupling on different array sizes and compared dense to sparse array architectures. Additionally, we compared chirp waveforms to band-limited noise to compare bounds for different waveform types. We found that mutual coupling has a greater impact on the lower bound for smaller array sizes, and a sparse array configuration was found most favorable. The two waveform types demonstrate very similar behavior.

Original languageEnglish (US)
Title of host publication2019 IEEE Radar Conference, RadarConf 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728116792
StatePublished - Apr 2019
Event2019 IEEE Radar Conference, RadarConf 2019 - Boston, United States
Duration: Apr 22 2019Apr 26 2019

Publication series

Name2019 IEEE Radar Conference, RadarConf 2019


Conference2019 IEEE Radar Conference, RadarConf 2019
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Signal Processing
  • Instrumentation


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