INTEGRAL BOUNDS FOR RADAR AMBIGUITY FUNCTIONS AND WIGNER DISTRIBUTIONS

被引：93

作者：

LIEB, EH ^{[1
]}

机构：

[1] PRINCETON UNIV, DEPT PHYS, PRINCETON, NJ 08544 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1990年 / 31卷 / 03期

关键词：

D O I：

10.1063/1.528894

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An upper bound is proved for the Lp norm of Woodward's ambiguity function in radar signal analysis and of the Wigner distribution in quantum mechanics when p > 2. A lower bound is proved for 1 ≤ p < 2. In addition, a lower bound is proved for the entropy. These bounds set limits to the sharpness of the peaking of the ambiguity function or Wigner distribution. The bounds are best possible and equality is achieved in the Lp bounds if and only if the functions f and g that enter the definition are both Gaussians. © 1990 American Institute of Physics.

引用

页码：594 / 599

页数：6

共 10 条

[1] INEQUALITIES IN FOURIER-ANALYSIS [J].