Volume 70 | Issue 6 | Year 2024 | Article Id. IJMTT-V70I6P101 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I6P101
Received | Revised | Accepted | Published |
---|---|---|---|
06 Apr 2024 | 20 May 2024 | 09 Jun 2024 | 29 Jun 2024 |
The science of communication started to attract a lot of attention in the early 1900s. Communication and the
transmission of information was rapidly becoming a global phenomenon due to the ongoing growth of telegraph
communication, the recent invention of the telephone [3], and, most importantly, the necessity for quick and dependable
connections between military groups during the World War. There was an urgent need by the 1940s for a mathematical
theory that would direct the development of more advanced communication technologies.
Entropy, Information, Information improvements, Discrete information, Continuous information.
1. Introduction
The seminal work that gave rise to this theory was the groundbreaking publication A Mathematical Theory o
[1] Differentialentropy. [Online]. Available: https://en.wikipedia.org/wiki/Differentialentropy
[2] R.V.L. Hartley, “Transmission of Information,” Bell System Technical Journal, vol. 7, no. 3, pp. 535-563, 1928.
[CrossRef] [Google Scholar] [Publisher Link]
[3] George Markowsky, Information Theory, 2024. [Online]. Available: https://www.britannica.com/science/information-theory
[4] Robert J. McEliece, The Theory of Information and Coding, Cambridge: New York, 2004.
[Google Scholar] [Publisher Link]
[5] H. Nyquist, “Certain Factors Affecting Telegraph Speed,” Journal of the A.I.E.E., vol. 43, no. 2, pp. 124-130, 1924.
[CrossRef] [Google Scholar] [Publisher Link]
[6] M.S. Pinsker, Information and Information Stability of Random Variables and Processes, San Francisco: Holden-Day, pp. 1-243,
1964.
[Google Scholar] [Publisher Link]
[7] C.E. Shannon, and W. Weaver, “The Mathematical Theory of Communication,” Urbana: University of Illinois Press, 1972.
[8] Terence Tao, An Introduction to Measure Theory, Providence, RI: American Mathematical Society, 2013.
[Google Scholar] [Publisher Link]
[9] Rocco Tenaglia, Entropy and Information in Discrete and Continuous Information Theory, 2017.
[Google Scholar]
[10] Norbert Wiener, Extrapolation, Interpolation and Smoothing of Stationary Time Series: With Engineering Applications, The MIT
Press, 1949.
[CrossRef] [Google Scholar] [Publisher Link]
[11] Rohit Kumar Verma, and BabitaVerma, A New Approach in Mathematical Theory of Communication (A New Entropy with its
Application), Lambert Academic Publishing, 2013.
[Google Scholar]
[12] R.K. Verma, Family of Measures of Information with their Applications in Coding Theory and Channel Capacity, Lambert
Academic Publishing, 2023
Rohit Kumar Verma, JharanaChandrakar, "Edgeworth Theoretic Characterization of Mutual Information Underneath Joint and Conditional Probability Distribution in Algorithmic Information Theory," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 6, pp. 1-12, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I6P101