Modelling of Convolutional Structures Focusing on Error Probability Calculation Via Matlab for Safety-Related Applications

Abstract

Safety-related communication system SRComS uses a safety code for achieving the integrity of messages transferred between safety-related devices. In most cases, it is a block systematic code that uses syndromic decoding technique. The authors discuss the possibilities of using the convolutional structures for safety-related applications requiring creation of safety case based on quantitative assessment in relation to the transmission integrity level. This assessment is based on code analysis focused mainly on the error probability calculation. The results published in the practical part are obtained using a model created in Matlab environment, in which the chosen convolutional structures were tested. These tests were focused on the transmission error probability analysis provided by a binary symmetric channel, and also on optimization of other parameters affecting the residual error in the decoding algorithm. The results are generalized into concept of methodology for the convolutional codes safety assessment in compliance with standards for safety-related applications.

Keywords

• binary symmetric channel
• convolutional structures
• error probability
• matlab
• modelling
• safety code
• safety-related communications systems
• signal graph.