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E. Parzen, “On Estimation of a Probability Density Function and Mode,” Annals of Mathematical Statistics, Vol. 33, No. 3, 1962, pp. 1065-1076. doi:10.1214/aoms/1177704472

has been cited by the following article:

• TITLE: Neural Network Based Order Statistic Processing Engines

  AUTHORS: Mehmet S. Unluturk, Jafar Saniie

  KEYWORDS: Neural Networks; Back-Propagation Algorithm; Order Statistic Filters; Target Echo Detection

  JOURNAL NAME: Journal of Signal and Information Processing, Vol.3 No.1, February 28, 2012

  ABSTRACT: Order statistic filters are used often in the applications of science and engineering problems. This paper investigates the design and training of a feed-forward neural network to approximate minimum, median and maximum operations. The design of order statistic neural network filtering (OSNNF) is further refined by converting the input vectors with elements of real numbers to a set of inputs consisting of ones and zeros, and the neural network is trained to yield a rank vector which can be used to obtain the exact ranked values of the input vector. As a case study, the OSNNF is used to improve the visibility of target echoes masked by clutter in ultrasonic nondestructive testing applications.