Frequency Characteristics of a Mathematical Neuron Model Which Has a Threshold Function after an Output Pulse Occurrence
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Frequency transmission characteristics of pulse density are investigated by using a mathematical neuron model which is constructed mainly based on two conditions, i. e., (1) the threshold value decays exponentially in time after the occurrence of an output pulse, and (2) the post synaptic potential rises one unit at the occurrence time of an input pulse and holds the value until the arrival of the next input pulse.<BR>Amplitudes of frequency components in the input and output pulse density are extracted by the Fast Fourier Transform, and the transmission ratios of these components are evaluated for the transmission characteristics.<BR>These transmission characteristics are obtained from both theoretical analysis and computer simulation method, and compared with each other.<BR>From these investigations, we can conclude as follows :<BR>1) When the threshold value varies in time, some of output pulses occur simultaneously with the input pulses and others do not. This phenomenon causes frequency selectivity.<BR>2) The transmission ratio is nearly equal to one when the period of a modulation signal for an input pulse train is an integral multiple of the effective decay time of the threshold.<BR>3) The larger the modulation degree for an input pulse train, the smaller becomes the ratio of transmission.<BR>4) The smaller the asymptotic value of threshold, the more sensitive becomes the frequency selectivity.<BR>5) The range of transmission ratio is about 0.6-1.0.<BR>From the results obtained, we can easily estimate the possibility of realizing a frequency selective device by composing a number of layers of such neurons as above. We can also estimate that in the real neuronal system, the variation of threshold may play some role in the frequency selection of the pulse density.
- 一般社団法人 日本生体医工学会の論文
一般社団法人 日本生体医工学会 | 論文
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