A nonlinear noise filter employing hysteresis

被引:0
作者
Korman, CE [1 ]
机构
[1] George Washington Univ, Dept Elect & Comp Engn, Washington, DC 20052 USA
来源
PHYSICA B | 2001年 / 306卷 / 1-4期
关键词
hysteresis; nonlinear filters; binary detection; exit problem;
D O I
10.1016/S0921-4526(01)01015-8
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
A nonlinear filter with hysteresis is presented to detect binary signals. It is shown that key calculations for the bit error rate are reduced to the "exit problem" of stochastic differential equation theory. Employing this formalism, closed form expressions are derived in the transform domain for the probability density function of the filter output in the presence of additive white Gaussian noise. By taking inverse transformations, such expressions can be used to compute several performance measures of binary detectors with hysteresis nonlinearity. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:261 / 266
页数:6
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