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神经网络
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The characteristics of spatial frequenoy of our previously proposed mathematicall model of the retinal reoeptive fields are investigated. First of all, the model is simplified, assuming that the weight function K(x) is the difference between two normal distributions, then Fourier transformation of this function is made, followed by disoussion on the characteristics of the function based on the spatial frequency component. The rasults have showed that the funotion K(w) is also the difference between two normal...

The characteristics of spatial frequenoy of our previously proposed mathematicall model of the retinal reoeptive fields are investigated. First of all, the model is simplified, assuming that the weight function K(x) is the difference between two normal distributions, then Fourier transformation of this function is made, followed by disoussion on the characteristics of the function based on the spatial frequency component. The rasults have showed that the funotion K(w) is also the difference between two normal distributions, but variance and peak value in each term are different. Generally speaking, certain correction may be made from K(w) with respect to an input pattern. Differentiating K(w), the frequenoy value w~* may be obtained, at this value w~* the K(w) arrived maximum. The condition inhibiting direct current component is found. The effect of disappearance of peripheral inhibitory area in reoeptive field is disscussed. Finally, the relationship between the simplified model of the retinal receptive field and the lateral inhibitory neuronal network is explored.

我们曾对视网膜感受野提出了一个数学模型,本文对这一模型的空间频率特性进行了研究。首先对于原来的模型作了一些简化,并假设联系密度函数k(x)为二个正态分布之差,然后进行福里叶(Fourier)变换,从频率域来讨论K(ω)的特性。结果表明:K(ω)也是二个正态分布之差的函数,不过它们的方差和峰值与实域(时空域)上的正态分布不同。对K(ω)的分析表明它可以对输入图形进行某种校正。本文还求出|K(ω)|为最大值时的频率ω~*,确定了抑制直流分量的条件。对于k(x)仍由二个正态分布之差组成,但数学期望不同的情况,进行了分析。最后,对视网膜感受野模型与侧抑制神经网络之间的关系,进行了讨论。

The characteristics of spatial frequency of our previously proposed mathematicallmodel of the retinal receptive fields are investigated.First of all,the model is simpli-fied,assuming that the weight function K(x)is the difference between two normaldistributions,then Fourier transformation of this function is made,followed by dis-oussion on the characteristics of the function based on the spatial frequency component.The rasults have showed that the function K(ω)is also the difference between twonormal distributions,but...

The characteristics of spatial frequency of our previously proposed mathematicallmodel of the retinal receptive fields are investigated.First of all,the model is simpli-fied,assuming that the weight function K(x)is the difference between two normaldistributions,then Fourier transformation of this function is made,followed by dis-oussion on the characteristics of the function based on the spatial frequency component.The rasults have showed that the function K(ω)is also the difference between twonormal distributions,but variance and peak value in each term are different.General-ly speaking,certain correction may be made from K(ω)with respect to an input pat-tern.Differentiating K(ω),the frequency value w~* may be obtained,at this value ω~*the K(ω)arrived maximum.The condition inhibiting direct current component isfound.The effect of disappearance of peripheral inhibitory area in receptive field isdisseussed.Finally,the relationship between the simplified model of the retinal rece-ptive field and the lateral inhibitory neuronal network is explored.

我们曾对视网膜感受野提出了一个数学模型,本文对这一模型的空间频率特性进行了研究。首先对于原来的模型作了一些简化,并假设联系密度函数k(x)为二个正态分布之差,然后进行福里叶(Fourier)变换.从频率域来讨论K(ω)的特性。结果表明:K(ω)也是二个正态分布之差的函数,不过它们的方差和峰值与实域(时空域)上的正态分布不同。对K(ω)的分析表明它可以对输入图形进行某种校正。本文还求出|K(ω)|为最大值时的频率ω,确定了抑制直流分量的条件。对于k(x)仍由二个正态分布之差组成,但数学期望不同的情况,进行了分析。最后,对视网膜感受野模型与侧抑制神经网络之间的关系,进行了讨沦。

The impulses of hair-like vibrative receptors of the cockroach cercus ascend through or across each of the Vth-Ist abdominal nerve ganglions. In addition, the impulses go back from the recurrent nerve of each one of the Ist-Ⅵth ganglion to the cercus. According to the delay time of impulse conduction through the ganglion, it is supposed that the three pathways compose a network of giant fibers without chemical synapse between the lst-5th ganglion in the abdominal nerve cord of the cockrosch (Periplaneta americana)....

The impulses of hair-like vibrative receptors of the cockroach cercus ascend through or across each of the Vth-Ist abdominal nerve ganglions. In addition, the impulses go back from the recurrent nerve of each one of the Ist-Ⅵth ganglion to the cercus. According to the delay time of impulse conduction through the ganglion, it is supposed that the three pathways compose a network of giant fibers without chemical synapse between the lst-5th ganglion in the abdominal nerve cord of the cockrosch (Periplaneta americana).

蜚蠊尾须毛形振动感受器的上行冲动直通或横过腹神经索第Ⅴ至第Ⅰ腹神经节。此外冲动沿第Ⅰ至第Ⅵ腹节的返回神经回到尾须。根据电生理学研究,假定上述直通、横过和返回三种通路在蜚蠊腹神经索第Ⅰ至第Ⅴ腹神经节巨大神经纤维间构成无化学突触的神经网络系统。

 
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