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.
The design of these filters is based on the z-transform
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.
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
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.
has also been used in several works [6-8].
Includes answers to selected exercises and an appendix with a useful table on Laplace and z-transform
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.