MVDR adaptive sidelobes: Extending Ruze's formula and providing an exact calculation of the probability of sidelobe suppression

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

3 Citations (Scopus)

Abstract

Exact finite sum expressions for the probability density function (PDF) and cumulative distribution function (CDF) for the magnitude response of the SCB MVDR beamformer are derived. Exact expressions for the mean and variance of this beam pattern are given which generalize and extend the classical results of Ruze (1952) as well as those of Gilbert and Morgan (1955) to this MVDR processor. These tools allow the exact prediction of the likelihood of interference in a given direction obtaining a specified level of sidelobe or mainlobe suppression by the adaptive beamformer. Sample support and degrees of freedom can be chosen to meet specifications with a certain level of probability. These useful calculations are facilitated by judicious exploitation of Sehlafli's contour integral representation for the modified Bessel function.

Original languageEnglish (US)
Title of host publicationProceedings of the 2000 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000
PublisherIEEE Computer Society
Pages73-76
Number of pages4
Volume2000-January
ISBN (Electronic)0780363396
DOIs
StatePublished - Jan 1 2000
Externally publishedYes
EventIEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000 - Cambridge, United States
Duration: Mar 16 2000Mar 17 2000

Other

OtherIEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000
CountryUnited States
CityCambridge
Period3/16/003/17/00

Fingerprint

Bessel functions
Probability density function
Distribution functions
Specifications

Keywords

  • Adaptive arrays
  • Adaptive filters
  • Apertures
  • Distribution functions
  • Interference suppression
  • Laboratories
  • Least squares approximation
  • Probability density function
  • Signal to noise ratio
  • Stochastic processes

ASJC Scopus subject areas

  • Signal Processing
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Richmond, C. (2000). MVDR adaptive sidelobes: Extending Ruze's formula and providing an exact calculation of the probability of sidelobe suppression. In Proceedings of the 2000 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000 (Vol. 2000-January, pp. 73-76). [877971] IEEE Computer Society. https://doi.org/10.1109/SAM.2000.877971

MVDR adaptive sidelobes : Extending Ruze's formula and providing an exact calculation of the probability of sidelobe suppression. / Richmond, Christ.

Proceedings of the 2000 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000. Vol. 2000-January IEEE Computer Society, 2000. p. 73-76 877971.

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

Richmond, C 2000, MVDR adaptive sidelobes: Extending Ruze's formula and providing an exact calculation of the probability of sidelobe suppression. in Proceedings of the 2000 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000. vol. 2000-January, 877971, IEEE Computer Society, pp. 73-76, IEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000, Cambridge, United States, 3/16/00. https://doi.org/10.1109/SAM.2000.877971
Richmond C. MVDR adaptive sidelobes: Extending Ruze's formula and providing an exact calculation of the probability of sidelobe suppression. In Proceedings of the 2000 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000. Vol. 2000-January. IEEE Computer Society. 2000. p. 73-76. 877971 https://doi.org/10.1109/SAM.2000.877971
Richmond, Christ. / MVDR adaptive sidelobes : Extending Ruze's formula and providing an exact calculation of the probability of sidelobe suppression. Proceedings of the 2000 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000. Vol. 2000-January IEEE Computer Society, 2000. pp. 73-76
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