Abstract
Errors in realistic channels contain not only substitution errors, but synchronization errors as well. Moreover, these errors are rarely statistically independent in nature. By extending on the idea of the Fritchman channel model, a novel error category-based methodology for determining channel characteristics is described for memory channels that contain insertion, deletion, and substitution errors. The practicality of such a methodology is reinforced by making use of real communication data from a visible light communication system. Simulation results show that the error-free and error runs using this new method of defining the channel clearly deviates from the Davey-MacKay synchronization model which is memoryless in nature. This further emphasizes the inherent memory in these synchronization channels which we are now able to characterize. Additionally, a new method to determine the parameters of a synchronization memory channel using the Levenshtein distance metric is detailed. This method of channel modeling allows for more realistic communication models to be simulated and can easily extend to other areas of research such as DNA barcoding in the medical domain.
Highlights
Systems which exhibit a correlation between errors while having synchronization issues are quite common in practical, real-life applications
The first contribution of this paper is to introduce the idea of using the Fritchman model simulated data (Model) and Hidden Markov Models, which inherently contain memory to model substitution errors in addition to synchronization errors by making use of various error groupings
Various memory models and synchronization error channels are discussed, but there is, no overlap which accounts for IDS channels that contain statistically dependent errors
Summary
Systems which exhibit a correlation between errors while having synchronization issues are quite common in practical, real-life applications. The second contribution presented in this paper is a novel Finite-State Makov Channel (FSMC) model which contains states for insertions, deletions, substitutions and transmission. This novel FSMC provides a more comprehensive model for real-world scenarios and the applicability of such a model is reinforced by using communication data from an actual VLC testbed. The use of real-world data in this analysis corroborates our intuitive notions of when we could possibly experience correlated synchronization errors and indicates when the presented models may be beneficially used.
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