Skip to main content

Peak sidelobe level gumbel distribution of antenna arrays with random phase centers

Publication ,  Journal Article
Krishnamurthy, S; Bliss, DW; Richmond, CD; Tarokh, V
Published in: IEEE Transactions on Antennas and Propagation
August 1, 2019

The maximum value of an antenna array's sidelobe beampattern, or radiation pattern in the power domain, is an important parameter determining its performance. In this paper, when array antenna elements have random phase centers, we approximate the maximum sidelobe value, or peak sidelobe level, as a Gumbel distribution using the extreme value theory (EVT). Before the EVT result, an expression for the beampattern distribution at each angle in the array field of view is found. From this expression, the pointwise convergence of the difference between the beampattern and exponential distributions in the limit of a large number of antennas is obtained. Using the exponential distribution approximation, EVT is applied with samples of the beampattern. A bound is given for the difference between the beampattern sample maximum and its true maximum in the sidelobe region.

Duke Scholars

Published In

IEEE Transactions on Antennas and Propagation

DOI

EISSN

1558-2221

ISSN

0018-926X

Publication Date

August 1, 2019

Volume

67

Issue

8

Start / End Page

5399 / 5410

Related Subject Headings

  • Networking & Telecommunications
  • 4009 Electronics, sensors and digital hardware
  • 4008 Electrical engineering
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Krishnamurthy, S., Bliss, D. W., Richmond, C. D., & Tarokh, V. (2019). Peak sidelobe level gumbel distribution of antenna arrays with random phase centers. IEEE Transactions on Antennas and Propagation, 67(8), 5399–5410. https://doi.org/10.1109/TAP.2019.2917469
Krishnamurthy, S., D. W. Bliss, C. D. Richmond, and V. Tarokh. “Peak sidelobe level gumbel distribution of antenna arrays with random phase centers.” IEEE Transactions on Antennas and Propagation 67, no. 8 (August 1, 2019): 5399–5410. https://doi.org/10.1109/TAP.2019.2917469.
Krishnamurthy S, Bliss DW, Richmond CD, Tarokh V. Peak sidelobe level gumbel distribution of antenna arrays with random phase centers. IEEE Transactions on Antennas and Propagation. 2019 Aug 1;67(8):5399–410.
Krishnamurthy, S., et al. “Peak sidelobe level gumbel distribution of antenna arrays with random phase centers.” IEEE Transactions on Antennas and Propagation, vol. 67, no. 8, Aug. 2019, pp. 5399–410. Scopus, doi:10.1109/TAP.2019.2917469.
Krishnamurthy S, Bliss DW, Richmond CD, Tarokh V. Peak sidelobe level gumbel distribution of antenna arrays with random phase centers. IEEE Transactions on Antennas and Propagation. 2019 Aug 1;67(8):5399–5410.

Published In

IEEE Transactions on Antennas and Propagation

DOI

EISSN

1558-2221

ISSN

0018-926X

Publication Date

August 1, 2019

Volume

67

Issue

8

Start / End Page

5399 / 5410

Related Subject Headings

  • Networking & Telecommunications
  • 4009 Electronics, sensors and digital hardware
  • 4008 Electrical engineering
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering