The distributions of local extrema of Gaussian noise and of its envelope

被引:10
作者
Blachman, NM
机构
[1] Oakland, CA 94611-4819
关键词
distributions of local envelope extrema; distributions of local extrema; wide- and narrowband Gaussian noise;
D O I
10.1109/18.782153
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Cramer and Leadbetter's result for the distribution of the local maxima of stationary Gaussian noise is studied and plotted. Its derivation is used for finding the distributions of the local maxima and minima of the envelope of narrowband Gaussian noise. These distributions, too, are studied and plotted, including the Limiting cases of very wide and narrow noise spectra.
引用
收藏
页码:2115 / 2121
页数:7
相关论文
共 7 条
[1]   Zero-crossing rates of mixtures and products of Gaussian processes [J].
Barnett, JT ;
Kedem, B .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1998, 44 (04) :1672-1677
[2]  
Blachman N, 1992, MATH PRACTICAL APPRO
[3]  
Blachman N. M., 1982, NOISE ITS EFFECT COM
[4]  
Cramer H., 1967, Stationary and Related Stochastic Processes. Sample Function. Properties and Their Applications
[5]  
Gradshteyn I. S., 2007, Tables of Integrals, Series, and Products, V7
[6]   MATHEMATICAL ANALYSIS OF RANDOM NOISE [J].
RICE, SO .
BELL SYSTEM TECHNICAL JOURNAL, 1945, 24 (01) :46-156
[7]   STATISTICAL PROPERTIES OF A SINE WAVE PLUS RANDOM NOISE [J].
RICE, SO .
BELL SYSTEM TECHNICAL JOURNAL, 1948, 27 (01) :109-157