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Certain Topics in Telegraph Transmission Theory

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Certain Topics in Telegraph Transmission Theory
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Description: EXTREMELY RARE FIRST PRINTING IN ORIGINAL WRAPPERS of one of the foundational works of information theory: the Nyquist Sampling Theorem, essential to digital communication. “The beginnings of modern information theory are found in the body of [Nyquist’s] work. In a 1924 paper in the Bell System Technical Journal, Nyquist first referred to what was transmitted by telegraphers as ‘information.’ He suggested that two factors determined the ‘maximum speed of transmission of intelligence.’ “Those factors were the signal's shape (a square wave was deemed superior to a sine wave) and the choice of code used to represent the intelligence. Using maximum Morse-code telegraphy speed as a starting point, Nyquist eventually determined that the maximum speed of intelligence transmission is proportional to the logarithm of the number of symbols that need to be represented. “Nyquist's most significant work was his 1928 paper, ‘Certain Topics In Telegraph Transmission Theory.’ It refined his earlier work on improving transmission speed. More importantly, though, it brought into focus Nyquist's theoretical work on the bandwidth requirements for data transmission and the basics of sampling continuous analog signals and converting them to digital form, now better known as the Nyquist Sampling Theorem. “According to the Sampling Theorem, an analog signal must be sampled at regular intervals over time and at twice the frequency of its highest-frequency component to be converted into an adequate representation of the signal in digital form. Thus, the ‘Nyquist frequency’ is the highest frequency that can be accurately sampled. It represents one-half of the sampling frequency. Adhering to the Nyquist Sampling Theorem ensures no lost data upon reconstruction in the analog domain. “Once again, Nyquist drew upon Morse code as a model to establish a way to digitally encode an analog signal using ones and zeros. A side benefit of this work was his invention of the codec circuit used to perform the coding and decoding of the analog signal. “Nyquist's work was enormously influential to the communication engineers that followed him. This was especially true of his Bell Labs colleague, Claude Shannon, considered by many to be the father of information theory. Nyquist's 1924 and 1928 papers were cited in the first paragraph of Shannon's own claim to greatness, the 1948 paper titled ‘The Mathematical Theory of Communications.’ “Numerous experts say that Nyquist stated the Sampling Theorem, and Shannon later mathematically proved it. Moreover, many believe that Nyquist and Shannon are responsible for virtually all theoretical advances in modern communications” (Maliniak, “Harry Nyquist: A Founding Father Of Digital Communications,” Electronic Design). IN: Quarterly Transactions of the American Institute of Engineers, pp. 617-644, Vol. 47, April 1928. Quarto, original wrappers; custom box. Corners bumped, upper outer corner of first few leaves a bit wrinkled but nowhere near text, spine ends a bit worn. EXCEEDINGLY RARE: This is the only copy we are aware of in original wrappers that has been on the market.

Artist or Maker: NYQUIST, HARRY

 
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