On Distribution of Quadratic Forms in Gaussian Random Variables

1996 ◽  
Vol 40 (2) ◽  
pp. 250-260 ◽  
Author(s):  
G. Christoph ◽  
Yu. V. Prokhorov ◽  
V. V. Ulyanov
Keyword(s):  
Quadratic Forms ◽  
Random Variables ◽  
Gaussian Random Variables

scholarly journals On the Distribution of Indefinite Quadratic Forms in Gaussian Random Variables

2016 ◽  
Vol 64 (1) ◽  
pp. 153-165 ◽  
Author(s):  
Tareq Y. Al-Naffouri ◽  
Muhammed Moinuddin ◽  
Nizar Ajeeb ◽  
Babak Hassibi ◽  
Aris L. Moustakas
Keyword(s):  
Quadratic Forms ◽  
Random Variables ◽  
Gaussian Random Variables ◽  
Indefinite Quadratic

scholarly journals Two Properties of Vectors of Quadratic Forms in Gaussian Random Variables

2015 ◽  
Vol 59 (2) ◽  
pp. 208-221 ◽  
Author(s):  
V. I. Bogachev ◽  
E. D. Kosov ◽  
I. Nourdin ◽  
G. Poly
Keyword(s):  
Quadratic Forms ◽  
Random Variables ◽  
Gaussian Random Variables

scholarly journals Performance Degradation in Cross-Eye Jamming Due to Amplitude/Phase Instability between Jammer Antennas

Sensors ◽  
2021 ◽  
Vol 21 (15) ◽  
pp. 5027
Author(s):  
Je-An Kim ◽  
Joon-Ho Lee
Keyword(s):  
Performance Analysis ◽  
Phase Difference ◽  
Taylor Expansion ◽  
Amplitude Ratio ◽  
Random Variables ◽  
Performance Degradation ◽  
Analytical Performance ◽  
Phase Instability ◽  
Gaussian Random Variables ◽  
First Order

Cross-eye gain in cross-eye jamming systems is highly dependent on amplitude ratio and the phase difference between jammer antennas. It is well known that cross-eye jamming is most effective for the amplitude ratio of unity and phase difference of 180 degrees. It is assumed that the instabilities in the amplitude ratio and phase difference can be modeled as zero-mean Gaussian random variables. In this paper, we not only quantitatively analyze the effect of amplitude ratio instability and phase difference instability on performance degradation in terms of reduction in cross-eye gain but also proceed with analytical performance analysis based on the first order and second-order Taylor expansion.

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