z-transform


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z-transform

[′zē ′tranz‚fȯrm]
(mathematics)
The z-transform of a sequence whose general term is ƒn is the sum of a series whose general term is ƒn z -n , where z is a complex variable; n runs over the positive integers for a one-sided transform, over all the integers for a two-sided transform.
References in periodicals archive ?
Offers a very thorough treatment of the z-transform and frequency-domain analysis.
Beginning with deterministic signals and filters then moving to stochastic ones, he explores such topics as discrete time signals and systems, the Z-transform, discrete filter design techniques, stochastic processes, and adaptive filters.
Following the well-known approach developed by Stephenson and Mitalas (Stephenson and Mitalas 1971), based on the use of the Z-transform (ZT) (Jury 1964), let us consider a thermal system, like a wall, in which u([tau]) is the input signal and y([tau]) is the correlated output signal.
The z-transform is also covered, along with Hilbert transforms, for which a basic knowledge of complex variable theory is necessary.
The following analysis of the RiemannZeta function with a z-transform shows the stability zones and requirements for the real and complex variables.
Key words: Logarithmic mean, Identric mean, Z-transform and convolution.
Chapter 3 is devoted to transform-domain representations of discrete-time signals, specifically the DTFT, DFT and Z-Transform, together with their properties and applications.
Includes answers to selected exercises and an appendix with a useful table on Laplace and z-transform pairs.
Part 1: Basic Digital Signal Processing gives an introduction to the topic, discussing sampling and quantization, Fourier analysis and synthesis, Z-transform, and digital filters.
He also explores discrete time signals and systems, the z-transform, continuous- and discrete-time filters, active and passive filters, lattice filters, continuous- and discrete-time state space models, and more.