Z-transform - History

History

The basic idea now known as the Z-transform was known to Laplace, and re-introduced in 1947 by W. Hurewicz as a tractable way to solve linear, constant-coefficient difference equations. It was later dubbed "the z-transform" by Ragazzini and Zadeh in the sampled-data control group at Columbia University in 1952.

The modified or advanced Z-transform was later developed and popularized by E. I. Jury.

The idea contained within the Z-transform is also known in mathematical literature as the method of generating functions which can be traced back as early as 1730 when it was introduced by de Moivre in conjunction with probability theory. From a mathematical view the Z-transform can also be viewed as a Laurent series where one views the sequence of numbers under consideration as the (Laurent) expansion of an analytic function.

Read more about this topic:  Z-transform

Famous quotes containing the word history:

    The view of Jerusalem is the history of the world; it is more, it is the history of earth and of heaven.
    Benjamin Disraeli (1804–1881)

    There are two great unknown forces to-day, electricity and woman, but men can reckon much better on electricity than they can on woman.
    Josephine K. Henry, U.S. suffragist. As quoted in History of Woman Suffrage, vol. 4, ch. 15, by Susan B. Anthony and Ida Husted Harper (1902)

    The history of medicine is the history of the unusual.
    Robert M. Fresco, and Jack Arnold. Prof. Gerald Deemer (Leo G. Carroll)