DETECTORS FOR DISCRETE-TIME SIGNALS IN NON-GAUSSIAN NOISE
DETECTORS FOR DISCRETE-TIME SIGNALS IN NON-GAUSSIAN NOISE
复制标题
DOI：
10.1109/tit.1972.1054787
复制
发表时间：
1972-01-01
影响因子：
2.5
通讯作者：
THOMAS, JB
中科院分区：
文献类型：
--
作者：
MILLER, JH;THOMAS, JB
研究了加性白色噪声中离散信号的一类非线性检测器的结构和性能。所考虑的检测器包括一个零记忆非线性（ZNL），其次是一个线性滤波器，其输出与阈值进行比较。这类检测器是一个合理的研究是显而易见的事实，即内曼-皮尔逊最优和局部最优（即，用于统计独立噪声样本的弱信号最佳）检测器可以被置于这种形式中。所使用的检测器性能的措施是渐近相对效率（ARE）的研究中的非线性检测器相对于一个线性检测器适合于相同的检测问题。沿着给出了该ARE的一般表达式，结果是使该表达式最大化的非线性是适当的恒定信号局部最优检测器中的非线性的任何线性函数。为了说明这些非线性检测器的结构和性能的广泛的非高斯噪声分布，三个一般类的对称，单峰，单变量概率密度函数的高斯，柯西，β分布的推广。
The structure and performance of a class of nonlinear detectors for discrete-time signals in additive white noise are investigated. The detectors considered consist of a zero-memory nonlinearity (ZNL) followed by a linear filter whose output is compared with a threshold. That this class of detectors is a reasonable one to study is apparent from the fact that both the Neyman-Pearson optimum and the locally optimum (i.e., weak-signal optimum) detectors for statistically independent noise samples can be put into this form. The measure of detector performance used is the asymptotic relative efficiency (ARE) of the nonlinear detector under study with respect to a linear detector appropriate for the same detection problem. A general expression for this ARE is given along with the result that the non-linearity maximizing this expression is any linear function of the nonlinearity in the appropriate constant-signal locally optimum detector. To illustrate the structure and performance of these nonlinear detectors for a wide range of non-Gaussian noise distributions, three general classes of symmetric, unimodal, univariate probability density functions are introduced that are generalizations of the Gaussian, Cauchy, and beta distributions.