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IEEE Transactions on Acoustics, Speech, and Signal Processing, 1986
Various discrete definitions of the Wigner distribution (WD) for discrete-time signals have been proposed in previous works. The formulation developed in this paper leads to natural and unified definitions of discrete versions of the WD. They are directly related to the continuous and preserve most of its properties.
Françoise Peyrin, Rémy Prost
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Various discrete definitions of the Wigner distribution (WD) for discrete-time signals have been proposed in previous works. The formulation developed in this paper leads to natural and unified definitions of discrete versions of the WD. They are directly related to the continuous and preserve most of its properties.
Françoise Peyrin, Rémy Prost
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International Journal of Theoretical Physics, 2000
The main contents of this paper is the causal set hypothesis, describing spacetime as a discrete, locally finite, partially ordered set aiming on the mathematical description via graph theory. The model of spacetime as a graph is introduced and the principle properties are discussed (causality, particles as parts of graphs, vertexes are the discrete ...
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The main contents of this paper is the causal set hypothesis, describing spacetime as a discrete, locally finite, partially ordered set aiming on the mathematical description via graph theory. The model of spacetime as a graph is introduced and the principle properties are discussed (causality, particles as parts of graphs, vertexes are the discrete ...
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Discrete Time, Discrete Frequency
2021This chapter is dedicated to exploring a form of the Fourier transform that can be applied to digital waveforms, the discrete Fourier transform (DFT). The theory is introduced and discussed as a modification to the continuous-time transform, alongside the concept of windowing in the time domain.
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Theory of Probability & Its Applications, 1989
See the review in Zbl 0646.60054.
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See the review in Zbl 0646.60054.
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A Nonarchimedian Discretization for Timed Languages
Fundamenta Informaticae, 2004We give a discretization of behaviors of timed automata, in which timed languages are represented as sets of words containing action symbols, a clock tick symbol 1, and two delay symbols δ − (negative delay) and δ + (positive delay).
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1989
To realize a discrete-time filter with either computer software, a programmable DSP chip, or custom VLSI, a network must be specified describing the computations to be performed. For software realizations, the network corresponds to a flowchart of the filter algorithm, while for hardware realizations, the network describes the actual circuit elements ...
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To realize a discrete-time filter with either computer software, a programmable DSP chip, or custom VLSI, a network must be specified describing the computations to be performed. For software realizations, the network corresponds to a flowchart of the filter algorithm, while for hardware realizations, the network describes the actual circuit elements ...
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Continuous and Discrete Time Models
1987Most economists recognize that the use of discrete time is only an approximation, but assume (usually implicitly) that the error of approximation involved is trivially small relative to the other sorts of simplification and approximation inherent in economic theorizing.
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Networks of queues in discrete time
Zeitschrift für Operations Research, 1983We study a new class of networks of queues whose nodes operate in round-robin fashion and other ways of interest to computer science. We compute a stationary law of product form for the Markov process describing the state of the network. Moreover, we obtain the conditional expected travel time of a job given the job's requested processing times at ...
Hans Daduna, Rolf Schaßberger
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On the discrete-time normal form
IEEE Transactions on Automatic Control, 1998The paper studies analytic, discrete-time control systems of the form \[ x(k+1)= F(x(k), u(k)),\tag{\(*\)} \] \(x\in \mathbb{R}^n\), \(u\in\mathbb{R}^p\), equipped with a \(p\)-dimensional analytic output map \(y(k)= \varphi(x(k))\) such that the relative degree \(r= (r_1,r_2,\dots, r_p)\) of the system is well defined around the equilibrium point \((0,
CALIFANO, Claudia +2 more
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Periodic Discrete and Discrete-Time Splines
2018Periodic discrete splines with different periods and spans are introduced in Sect. 3.4 of Volume I (Averbuch, Neittaanmaki and Zheludev, Spline and Spline Wavelet Methods with Applications to Signal and Image Processing, Springer, Berlin, 2014) [2]. In this chapter, we regard periodic discrete splines as a base for the design of periodic discrete-time ...
Amir Z. Averbuch +2 more
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