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Discrete-time, discrete-frequency, time-frequency analysis
IEEE Transactions on Signal Processing, 1998Summary: A formulation of a discrete-time, discrete-frequency Wigner distribution for analysis of discrete-time, periodic signals is given using an approach involving group representation theory. This approach is motivated by a well-known connection between group theory and the continuous Wigner distribution.
Michael S. Richman +2 more
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Discrete-time, discrete-frequency time-frequency representations
1995 International Conference on Acoustics, Speech, and Signal Processing, 2002A discrete-time, discrete-frequency Wigner distribution is derived using a group-theoretic approach. It is based upon a study of the Heisenberg group generated by the integers mod N, which represents the group of discrete-time and discrete-frequency shifts. The resulting Wigner distribution satisfies several desired properties.
Michael S. Richman +2 more
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Time discretization and Markovian iteration for coupled FBSDEs
Annals of Applied Probability, 2008 In this paper we lay the foundation for a numerical algorithm to simulate high-dimensional coupled FBSDEs under weak coupling or monotonicity conditions. In particular, we prove convergence of a time discretization and a Markovian iteration.
Christian Bender
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Discrete-time Chen Series for Time Discretization and Machine Learning
2019 53rd Annual Conference on Information Sciences and Systems (CISS), 2019A formal power series over a set of noncommuting indeterminants using iterated integrals as the coefficients is called a Chen series, named after the mathematician K.-T. Chen. The first goal of this paper is to give a brief overview of Chen series and their algebraic structures as a kind of reference point.
W. Steven Gray +2 more
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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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The Reactability of Discrete Time Systems
IEEE Control Systems Letters, 2023An important property of a dynamical system is its reactivity, i.e., the initial rate of growth of the norm of the state vector. However, most literature on reactivity has focused on continuous time systems. Here we define the reactivity of discrete time systems and apply it to characterize the dynamics of network systems and Markov chains.
Amirhossein Nazerian +3 more
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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 ...
openaire +1 more source