Talk:Z-transform

Transformation in Electronics
To ease the solution for problem solving and getting more details about the problem, going from one domain to another domain is necessary. In Blackman–Tukey Transformation article introduction section everything is explained. Many transformation exist like Blackman–Tukey Transformation, Famous Fourier Transform, Laplace Transform, Z-Transform (Used in DSP) are used a lot. Continuous functions tend to use Fourier transform and Laplace transform. Laplace transform maps a function f(t) to F(s) and we can solve it for its solution. Laplace transform is useful for linear differential functions. Read more on reference:

http://electronics.stackexchange.com/questions/86489/relation-and-difference-between-fourier-laplace-and-z-transforms

MansourJE (talk) 20.42, 09 December 2015 (UTC)

Multiplication property
Does anyone have a reference for the derivation for the time domain multiplication property (the last entry of the property table)? 8 June 2016 Nevermind, it was easy to prove using the residue theorem. — Preceding unsigned comment added by 131.236.54.194 (talk) 05:00, 8 June 2016 (UTC)

Applications for Engineers
As an educated electrical engineer, mathematician, and private instructor, I can tell you there is nothing more infuriating than z transform tables wasting our time expressed in terms of a variable z^(-1). Writing z^(-1) over and over again is a maddening waste of time. These tables need to be rewritten with absolutely no inverse powers of z. This will provide for very rapid solutions of discrete financial mathematics problems to pay off all world debt ending debt slavery. At the very least, the very top of the table should express the inverse transform of 1/(z-B) for different values of B according to the convergence of the transform.

Long story short, z-transform tables waste your time by beating around the bush with Mousetrap board game type complexities which are unnecessary. — Preceding unsigned comment added by Jakewayd (talk • contribs) 22:55, 22 September 2018 (UTC)

Properties of the Z Transform.
I thought it was a good idea to learn about the Z transform from wikipedia, but when reading the properties I see a term $$K$$, that was never explained, nor defined. (and even if wikipedia is not for learning, it isnt rigurous either) 95.91.213.175 (talk) 11:24, 22 February 2021 (UTC)
 * Yes, the formulas in the Properties section are not rigorous at all. There are many symbols lacking definition. As of now, $$K$$, is still one of them. ◅ Sebastian Helm 🗨 09:23, 23 October 2023 (UTC)

K Symbol definition
The first published list of z formulae was devised by Ronald Hugh Barker in a paper 'THE PULSE TRANSFER FUNCTION AND ITS APPLICATION TO SAMPLING SERVO SYSTEMS'. It was published in April 1952 and is available from IET Digital Library, Monograph No 43. https://digital-library.theiet.org/content/journals/10.1049/pi-4.1952.0032#:~:text=The%20pulse%20transfer%20function%20relates,the%20formalities%20of%20mathematical%20rigour. This paper defines 35 symbols used in the formulae.

The symbol K is given as:- K = Integer identifying the instant of sampling. Windswept (talk) 16:47, 13 February 2024 (UTC)