Title :
Order statistics for negative exponential distribution and its applications
Author :
Xiangwei, Meng ; Jian, Guan ; Xinzheng, Wang
Author_Institution :
Dept. of Electron. Eng., Naval Aeronaut. Eng. Inst., Yantai, China
Abstract :
The radar background noise is usually assumed as Gaussian distribution, and square law detection is taken, thus the reference sample falling in a sliding window used to estimate the noise power level follows an exponential distribution. In this paper, statistical analysis of order statistics for exponential distribution is carried out, the probability density function and moment generating function (mdf) of order statistics for exponential distribution are derived, the mean, estimation variance and ADT of order statistics are also given. Finally, its application for constant false alarm rate (CFAR) is discussed.
Keywords :
Gaussian distribution; exponential distribution; noise; radar signal processing; statistical analysis; Gaussian distribution; constant false alarm rate; estimation variance; moment generating function; negative exponential distribution; noise power level; order statistics; probability density function; radar background noise; square law detection; statistical analysis; Background noise; Exponential distribution; Higher order statistics; Image processing; Probability density function; Radar detection; Radar signal processing; Random variables; Statistical analysis; Statistical distributions;
Conference_Titel :
Neural Networks and Signal Processing, 2003. Proceedings of the 2003 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
0-7803-7702-8
DOI :
10.1109/ICNNSP.2003.1279376
