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Hardware implementation of hyperbolic tangent and sigmoid activation functions

Hajduk Z.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2018

Vol. 66, nr 5

563--577

This paper presents the high accuracy hardware implementation of the hyperbolic tangent and sigmoid activation functions for artificial neural networks. A kind of a direct implementation of the functions in a few different versions is proposed and investigated both by software and hardware modeling. A single precision floating point arithmetic is applied. Apart from conventional design style with hardware description language coding, high level synthesis design techniques with the Matlab HDL coder and Xilinx Vivado HLS have also been investigated.

Computationally efficient methods of approximations of the S-shape functions for image processing and computer graphics tasks

Cyganek B., Socha K.

Image Processing & Communications

2011

Vol. 16, no 1-2

19-28

The paper describes a number of methods for approximation of the S-shape functions, frequently used in computer graphics or image processing. The main focus is on efficient software and hardware implementations. We present original code for the high and low level languages which implement different approximations of the S-shape functions. Additionally we introduce the FixedFor <> template class which fills the gap of efficient representation of different length fixed-point data formats in C++.