Kulikowski J J, Marcelja S, Bishop P O
Biol Cybern. 1982;43(3):187-98. doi: 10.1007/BF00319978.
Striate cells showing linear spatial summation obey very general mathematical inequalities relating the size of their receptive fields to the corresponding spatial frequency and orientation tuning characteristics. The experimental data show that, in the preferred direction of stimulus motion, the spatial response profiles of cells in the simple family are well described by the mathematical form of Gabor elementary signals. The product of the uncertainties in signaling spatial position (delta x) and spatial frequency (delta f) has, therefore, a theoretical minimum value of delta x delta f = 1/2. We examine the implications that these conclusions have for the relationship between the spatial response profiles of simple cells and the characteristics of their spatial frequency tuning curves. Examples of the spatial frequency tuning curves and their associated spatial response profiles are discussed and illustrated. The advantages for the operation of the visual system of different relationships between the spatial response profiles and the characteristics of the spatial frequency tuning curves are examined. Two examples are discussed in detail, one system having a constant receptive field size and the other a constant bandwidth.
表现出线性空间总和的纹状细胞遵循非常普遍的数学不等式，这些不等式将其感受野的大小与相应的空间频率和方向调谐特性联系起来。实验数据表明，在刺激运动的偏好方向上，简单细胞家族中细胞的空间响应轮廓可以用Gabor基本信号的数学形式很好地描述。因此，信号空间位置（δx）和空间频率（δf）的不确定性乘积具有理论最小值δxδf = 1/2。我们研究了这些结论对简单细胞的空间响应轮廓与其空间频率调谐曲线特征之间关系的影响。讨论并举例说明了空间频率调谐曲线及其相关空间响应轮廓的示例。研究了空间响应轮廓与空间频率调谐曲线特征之间不同关系对视觉系统运作的优势。详细讨论了两个例子，一个系统具有恒定的感受野大小，另一个具有恒定的带宽。
