@inproceedings{6f138a56df8744b99290345d5a72e99b,

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

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.",

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

author = "Richmond, {C. D.}",

year = "2000",

month = jan,

day = "1",

doi = "10.1109/SAM.2000.877971",

language = "English (US)",

series = "Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop",

publisher = "IEEE Computer Society",

pages = "73--76",

booktitle = "Proceedings of the 2000 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000",

note = "IEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000 ; Conference date: 16-03-2000 Through 17-03-2000",

}