TY - GEN

T1 - Peak sidelobe level gumbel distribution for arrays of randomly placed antennas

AU - Krishnamurthy, Siddhartha

AU - Bliss, Daniel

AU - Richmond, Christ

AU - Tarokh, Vahid

N1 - Publisher Copyright:
© 2015 IEEE.

PY - 2015/6/22

Y1 - 2015/6/22

N2 - Extreme Value Theory (EVT) is used to analyze the peak sidelobe level distribution for array element positions with arbitrary probability distributions. Computations are discussed in the context of linear antenna arrays using electromagnetic energy. The results also apply to planar arrays of random elements that can be transformed into linear arrays. For sparse arrays with small number of elements, Gaussian approximations to the beampattern distribution at a particular angle introduce inaccuracies to the probability calculations. EVT is applied without making these Gaussian approximations. It is shown that the peak sidelobe level distribution converges weakly to a Gumbel distribution in the limit of a large number of beampattern samples. This result is for both sparse and dense arrays of randomly placed antennas over a large aperture. The definition of a large aperture in this context is ambiguous, but a possible rule-of-thumb is that it is at least a wavelength.

AB - Extreme Value Theory (EVT) is used to analyze the peak sidelobe level distribution for array element positions with arbitrary probability distributions. Computations are discussed in the context of linear antenna arrays using electromagnetic energy. The results also apply to planar arrays of random elements that can be transformed into linear arrays. For sparse arrays with small number of elements, Gaussian approximations to the beampattern distribution at a particular angle introduce inaccuracies to the probability calculations. EVT is applied without making these Gaussian approximations. It is shown that the peak sidelobe level distribution converges weakly to a Gumbel distribution in the limit of a large number of beampattern samples. This result is for both sparse and dense arrays of randomly placed antennas over a large aperture. The definition of a large aperture in this context is ambiguous, but a possible rule-of-thumb is that it is at least a wavelength.

UR - http://www.scopus.com/inward/record.url?scp=84937913460&partnerID=8YFLogxK

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U2 - 10.1109/RADAR.2015.7131267

DO - 10.1109/RADAR.2015.7131267

M3 - Conference contribution

AN - SCOPUS:84937913460

T3 - IEEE National Radar Conference - Proceedings

SP - 1671

EP - 1676

BT - 2015 IEEE International Radar Conference, RadarCon 2015

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2015 IEEE International Radar Conference, RadarCon 2015

Y2 - 10 May 2015 through 15 May 2015

ER -