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 ?
The mathematical background of the running example is the following: In Signal Processing, "the Z-transform for discrete-time signals is the counterpart of the Laplace transform for continuoustime signals, and they each have a similar relationship to the corresponding Fourier transform.
Rosen, "Chirp Z-transform based SPECAN approach for phase-preserving ScanSAR image generation," IEE Proc.
Generally, there are three common methods to derive the current expression at the loaded place: directly deducing by the volt-ampere characteristic [5], basing on the piecewise linear recursive convolution (PLRC) technique [6-8], using Z-transform approach [9-12].
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.