MINIMIZING AND MAXIMIZING THE JOINT SPACE-SPATIAL FREQUENCY UNCERTAINTY OF GABOR-LIKE FUNCTIONS - COMMENT

被引:18
作者
KLEIN, SA
BEUTTER, B
机构
[1] School of Optometry, University of California, Berkeley, CA
来源
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1992年 / 9卷 / 02期
关键词
D O I
10.1364/JOSAA.9.000337
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We dispute the claim that Hermite functions (similar to derivatives of Gaussians) minimize a joint uncertainty relation in space and spatial frequency. These functions are found to maximize rather than minimize the uncertainty of the class of functions consisting of an mth-order polynomial times a Gaussian.
引用
收藏
页码:337 / 340
页数:4
相关论文
共 7 条
[1]   UNCERTAINTY RELATION FOR RESOLUTION IN SPACE, SPATIAL-FREQUENCY, AND ORIENTATION OPTIMIZED BY TWO-DIMENSIONAL VISUAL CORTICAL FILTERS [J].
DAUGMAN, JG .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1985, 2 (07) :1160-1169
[2]  
DORIZE C, 1991, P IEEE INT C AC SPEE, P2029
[3]  
Gabor D, 1946, J I ELECT ENG 3, V93, P429, DOI DOI 10.1049/JI-3-2.1946.0074
[4]   HYPERACUITY THRESHOLDS OF 1 SEC - THEORETICAL PREDICTIONS AND EMPIRICAL VALIDATION [J].
KLEIN, SA ;
LEVI, DM .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1985, 2 (07) :1170-1190
[5]  
KLEIN SA, 1991, P SOC PHOTO-OPT INS, V1453, P190, DOI 10.1117/12.44355
[6]   DO GABOR FUNCTIONS PROVIDE APPROPRIATE DESCRIPTIONS OF VISUAL CORTICAL RECEPTIVE-FIELDS [J].
STORK, DG ;
WILSON, HR .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1990, 7 (08) :1362-1373
[7]   DO GABOR FUNCTIONS PROVIDE APPROPRIATE DESCRIPTIONS OF VISUAL CORTICAL RECEPTIVE-FIELDS - COMMENT [J].
YANG, J .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1992, 9 (02) :334-336