DEMONSTRATIO MATHEMATICA Vol. XLVIII No 3 2015 Shikha Maheshwari, Amit Srivastava SOME NEW RESULTS ON INFORMATION TRANSMISSION OVER NOISY CHANNELS Communicated by E. Weber Abstract. Information transmission over communication channels has been char- acterized by weighted information schemes involving probabilities and weights. Binary erasure channel has been used as an example for determination of constants in the proposed measure. 1. Introduction Increasing utilization of wireless packet erasure networks in different applications and aspects of real world has grabbed attentions of various researchers in a variety of streams. For the analysis and optimal design of such networks, the major challenge is the complexity and robustness of such systems and the distributed nature of their setup. Many researchers model these networks by directed cyclic graphs in which each edge represents a binary erasure channel with a constant erasure probability. Such networks play an important role in the design of unmanned aerial vehicles, underwater vehicles, remotely operated vehicles and many more. Information transmission over such networks is another challenging task due to the presence of noise in the channel. The term noise designates unwanted waves that disturb the transmission and processing of wanted signals in communication systems. The source of noise may be external or internal to the system. External source of noise includes atmospheric noise, man generated noise etc. and internal source of noise includes thermal noise, shot noise and so on. In this present work, we have considered that the messages at the input and output of a communication channel are characterized by weighted information schemes, i.e. they are functions of probabilities with which they appear 2010 Mathematics Subject Classification : 94A15, 94A17, 94A40. Key words and phrases : quantitative-qualitative entropy, binary erasure channel, mutual information. DOI: 10.1515/dema-2015-0033 c  Copyright by Faculty of Mathematics and Information Science, Warsaw University of Technology Unauthenticated Download Date | 7/29/18 4:09 PM