How did R.V.L. Hartley establish mathematical foundations for information theory?
Consider a simple telephone conversation: A person (message source) speaks into a telephone receiver (encoder), which converts the sound of the spoken word into an electrical signal. This electrical signal is then transmitted over telephone lines (channel) subject to interference (noise). When the signal reaches the telephone receiver (decoder) at the other end of the line it is converted back into vocal sounds. Finally, the recipient (message receiver) hears the original message.
R.V.L. Hartley was a pioneer who established the first mathematical foundations for information theory through his 1928 paper, "Transmission of Information."1
While earlier efforts by scientists and engineers were primarily focused on solving practical engineering problems related to telegraph and telephone systems, Hartley’s work moved toward a more formal, theoretical framework. His contributions provided a critical precursor to the modern information theory later developed by Claude Shannon in 1948. By focusing on the fundamental principles of signal transmission, Hartley helped shift the field away from purely device-oriented operations toward the mathematical analysis of information processing.12