Implementation of Sigmoid Activation Function for Sigma-Delta Modulated Bit-Streams and Its Application on Network for 3-D Space Classification

GUO Xiao-dan; MENG Qiao; LIANG Yong

doi:10.3969/j.issn.0372-2112.2015.05.005

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Implementation of Sigmoid Activation Function for Sigma-Delta Modulated Bit-Streams and Its Application on Network for 3-D Space Classification

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- Implementation of Sigmoid Activation Function for Sigma-Delta Modulated Bit-Streams and Its Application on Network for 3-D Space Classification
- Acta Electronica Sinica Vol. 43, Issue 5, Pages: 862-869(2015)
- 作者机构：
  
  1. 南京信息工程大学电子与信息学院,江苏,南京,210044
  3. 东南大学射频与光电集成电路研究所,江苏,南京,210096
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.60576028)
- DOI：10.3969/j.issn.0372-2112.2015.05.005
  CLC： TN911
- Published：2015
- 稿件说明：
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GUO Xiao-dan, MENG Qiao, LIANG Yong. Implementation of Sigmoid Activation Function for Sigma-Delta Modulated Bit-Streams and Its Application on Network for 3-D Space Classification[J]. Acta Electronica Sinica, 2015, 43(5): 862-869.
DOI：

GUO Xiao-dan, MENG Qiao, LIANG Yong. Implementation of Sigmoid Activation Function for Sigma-Delta Modulated Bit-Streams and Its Application on Network for 3-D Space Classification[J]. Acta Electronica Sinica, 2015, 43(5): 862-869. DOI： 10.3969/j.issn.0372-2112.2015.05.005.

摘要

本文提出一种基于-调制的比特流Tangent-Sigmoid(Tan-Sig)函数的数字电路实现方法.主要是通过修改反馈系数构建-限幅放大调制器

并以此组合实现对Tan-Sig函数的逼近.根据上述方法

在现场可编程门阵列上设计了具有非线性激活函数的比特流神经元以及复杂的比特流前馈型人工神经网络.最后利用该网络实现了在笛卡尔坐标系下的3-D空间判别.

Abstract

A digital hardware implementation of Tangent Sigmoid (Tan-Sig) activation function based on sigma-delta modulated bit-streams is proposed.Through the change of feedback coefficient in the framework of traditional sigma-delta modulator

a new limiting amplifier modulator (LAM) is fabricated

and the function approximation to Tan-Sig was achieved by the combination of several LAMs with different coefficients.Meanwhile

the bit-stream neurons with Tan-Sig activation function and the whole feed-forward artificial neural networks are implemented on field programmable gate array (FPGA).And the 3-D space classification problem in Cartesian coordinate system was solved by the neural networks presented.

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