Rise time (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Rise time" in English language version.

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This beautiful one-page paper does not contain any calculation. Henry Wallman simply sets up a table he calls "dictionary", paralleling concepts from electronics engineering and probability theory: the key of the process is the use of Laplace transform. Then he notes, following the correspondence of concepts established by the "dictionary", that the step response of a cascade of blocks corresponds to the central limit theorem and states that: "This has important practical consequences, among them the fact that if a network is free of overshoot its time-of-response inevitably increases rapidly upon cascading, namely as the square-root of the number of cascaded network"(Wallman 1950, p. 91). Wallman, Henry (1950), "Transient response and the central limit theorem of probability", in Taub, A. H. (ed.), Electromagnetic Theory (Massachusetts Institute of Technology, July 29–31 1948), Proceedings of Symposia in Applied Mathematics, vol. 2, Providence: American Mathematical Society., p. 91, MR 0034250, Zbl 0035.08102.

bldrdoc.gov

its.bldrdoc.gov

"rise time", Federal Standard 1037C, August 7, 1996

davmar.org

Again according to Orwiler (1969, p. 22). Orwiler, Bob (December 1969), Vertical Amplifier Circuits (PDF), Circuit Concepts, vol. 062-1145-00 (1st ed.), Beaverton, OR: Tektronix, p. 461.
See (Orwiler 1969, pp. 27–29) and the "Rise time of cascaded blocks" section. Orwiler, Bob (December 1969), Vertical Amplifier Circuits (PDF), Circuit Concepts, vol. 062-1145-00 (1st ed.), Beaverton, OR: Tektronix, p. 461.
See for example (Valley & Wallman 1948, p. 73), (Orwiler 1969, p. 22 and p. 30) or the "One-stage low-pass RC network" section. Valley, George E. Jr.; Wallman, Henry (1948), "§2 of chapter 2 and §1–7 of chapter 7", Vacuum Tube Amplifiers, MIT Radiation Laboratory Series, vol. 18, New York: McGraw-Hill., pp. xvii+743. Orwiler, Bob (December 1969), Vertical Amplifier Circuits (PDF), Circuit Concepts, vol. 062-1145-00 (1st ed.), Beaverton, OR: Tektronix, p. 461.
See (Valley & Wallman 1948, p. 724), (Petitt & McWhorter 1961, p. 111, including footnote 1, and p.) and (Orwiler 1969, p. 30). Valley, George E. Jr.; Wallman, Henry (1948), "§2 of chapter 2 and §1–7 of chapter 7", Vacuum Tube Amplifiers, MIT Radiation Laboratory Series, vol. 18, New York: McGraw-Hill., pp. xvii+743. Petitt, Joseph Mayo; McWhorter, Malcolm Myers (1961), Electronic Amplifier Circuits. Theory and Design, McGraw-Hill Electrical and Electronics Series, New York–Toronto–London: McGraw-Hill, pp. xiii+325. Orwiler, Bob (December 1969), Vertical Amplifier Circuits (PDF), Circuit Concepts, vol. 062-1145-00 (1st ed.), Beaverton, OR: Tektronix, p. 461.
Compare with (Orwiler 1969, p. 30). Orwiler, Bob (December 1969), Vertical Amplifier Circuits (PDF), Circuit Concepts, vol. 062-1145-00 (1st ed.), Beaverton, OR: Tektronix, p. 461.
Compare with (Valley & Wallman 1948, p. 72, formula (2)), (Cherry & Hooper 1968, p. 639, formula (13.3)) or (Orwiler 1969, p. 22 and p. 30). Valley, George E. Jr.; Wallman, Henry (1948), "§2 of chapter 2 and §1–7 of chapter 7", Vacuum Tube Amplifiers, MIT Radiation Laboratory Series, vol. 18, New York: McGraw-Hill., pp. xvii+743. Cherry, E. M.; Hooper, D. E. (1968), Amplifying Devices and Low-pass Amplifier Design, New York–London–Sidney: John Wiley & Sons, pp. xxxii+1036. Orwiler, Bob (December 1969), Vertical Amplifier Circuits (PDF), Circuit Concepts, vol. 062-1145-00 (1st ed.), Beaverton, OR: Tektronix, p. 461.
See also (Cherry & Hooper 1968, p. 656) and (Orwiler 1969, pp. 27–28). Cherry, E. M.; Hooper, D. E. (1968), Amplifying Devices and Low-pass Amplifier Design, New York–London–Sidney: John Wiley & Sons, pp. xxxii+1036. Orwiler, Bob (December 1969), Vertical Amplifier Circuits (PDF), Circuit Concepts, vol. 062-1145-00 (1st ed.), Beaverton, OR: Tektronix, p. 461.

doi.org

See (Valley & Wallman 1948, p. 72, footnote 1) and (Elmore 1948, p. 56). Valley, George E. Jr.; Wallman, Henry (1948), "§2 of chapter 2 and §1–7 of chapter 7", Vacuum Tube Amplifiers, MIT Radiation Laboratory Series, vol. 18, New York: McGraw-Hill., pp. xvii+743. Elmore, William C. (January 1948), "The Transient Response of Damped Linear Networks with Particular Regard to Wideband Amplifiers", Journal of Applied Physics, 19 (1): 55–63, Bibcode:1948JAP....19...55E, doi:10.1063/1.1697872.
See (Valley & Wallman 1948, p. 72, footnote 1) and (Elmore 1948, p. 56 and p. 57, fig. 2a). Valley, George E. Jr.; Wallman, Henry (1948), "§2 of chapter 2 and §1–7 of chapter 7", Vacuum Tube Amplifiers, MIT Radiation Laboratory Series, vol. 18, New York: McGraw-Hill., pp. xvii+743. Elmore, William C. (January 1948), "The Transient Response of Damped Linear Networks with Particular Regard to Wideband Amplifiers", Journal of Applied Physics, 19 (1): 55–63, Bibcode:1948JAP....19...55E, doi:10.1063/1.1697872.

harvard.edu

ui.adsabs.harvard.edu

See (Valley & Wallman 1948, p. 72, footnote 1) and (Elmore 1948, p. 56). Valley, George E. Jr.; Wallman, Henry (1948), "§2 of chapter 2 and §1–7 of chapter 7", Vacuum Tube Amplifiers, MIT Radiation Laboratory Series, vol. 18, New York: McGraw-Hill., pp. xvii+743. Elmore, William C. (January 1948), "The Transient Response of Damped Linear Networks with Particular Regard to Wideband Amplifiers", Journal of Applied Physics, 19 (1): 55–63, Bibcode:1948JAP....19...55E, doi:10.1063/1.1697872.
See (Valley & Wallman 1948, p. 72, footnote 1) and (Elmore 1948, p. 56 and p. 57, fig. 2a). Valley, George E. Jr.; Wallman, Henry (1948), "§2 of chapter 2 and §1–7 of chapter 7", Vacuum Tube Amplifiers, MIT Radiation Laboratory Series, vol. 18, New York: McGraw-Hill., pp. xvii+743. Elmore, William C. (January 1948), "The Transient Response of Damped Linear Networks with Particular Regard to Wideband Amplifiers", Journal of Applied Physics, 19 (1): 55–63, Bibcode:1948JAP....19...55E, doi:10.1063/1.1697872.

wiley.com

See for example (Cherry & Hooper 1968, p.6 and p.306), (Millman & Taub 1965, p. 44) and (Nise 2011, p. 167). Cherry, E. M.; Hooper, D. E. (1968), Amplifying Devices and Low-pass Amplifier Design, New York–London–Sidney: John Wiley & Sons, pp. xxxii+1036. Millman, Jacob; Taub, Herbert (1965), Pulse, digital and switching waveforms, New York–St. Louis–San Francisco–Toronto–London–Sydney: McGraw-Hill, pp. xiv+958. Nise, Norman S. (2011), Control Systems Engineering (6th ed.), New York: John Wiley & Sons, pp. xviii+928, ISBN 978-0470-91769-5.

zbmath.org

This beautiful one-page paper does not contain any calculation. Henry Wallman simply sets up a table he calls "dictionary", paralleling concepts from electronics engineering and probability theory: the key of the process is the use of Laplace transform. Then he notes, following the correspondence of concepts established by the "dictionary", that the step response of a cascade of blocks corresponds to the central limit theorem and states that: "This has important practical consequences, among them the fact that if a network is free of overshoot its time-of-response inevitably increases rapidly upon cascading, namely as the square-root of the number of cascaded network"(Wallman 1950, p. 91). Wallman, Henry (1950), "Transient response and the central limit theorem of probability", in Taub, A. H. (ed.), Electromagnetic Theory (Massachusetts Institute of Technology, July 29–31 1948), Proceedings of Symposia in Applied Mathematics, vol. 2, Providence: American Mathematical Society., p. 91, MR 0034250, Zbl 0035.08102.