Fibonacci Sequence and its Generalizations Hidden in Algorithms for Generating Morse Codes
In such advanced devices as computers, facsimiles and CD players, information is sent by digital signals. The Morse code, composed of dots and dashes, is a forerunner of digital communications codes. The code was originated about 1840 by the American inventor Samuel F. B. Morse and his assistant Alfred Vail. In 1851 an international convention improved the original Morse’s code and the resulting newer code is called the International Morse code.
Unable to display preview. Download preview PDF.
- Knuth, D. E. The Art of Computer Programming Volume I. Massachusetts: Addison-Wesley Publishing Company, 1975.Google Scholar
- Pierce, J. R. Symbols, Signals and Noise. New York: Harper and Brothers, 1961.Google Scholar
- Sato, S. “On Relations between Generalized Fibonacci Sequences and Algorithms for Generating the Patterns of Ups and Downs of Steps.” Research Reports of Tsuruoka Technical College 26 (1991): pp. 9–24 (In Japanese).Google Scholar
- Shannon, C. E. and Weaver, W. The Mathematical Theory of Communication. The University of Illinois Press, 1967.Google Scholar