Spectral Moments and Pre-Envelope Covariances of Nonseparable Processes

1990 ◽  
Vol 57 (1) ◽  
pp. 218-224 ◽  
Author(s):  
Mario Di Paola ◽  
Giovanni Petrucci

A critical review of the definition of the spectral moments of a stochastic process in the nonstationary case is presented. An adequate time-domain representation of the spectral moments in the stationary case is first established, showing that the spectral moments are related to the variances of the stationary analytical pre-envelope processes. The extension to the nonstationary case is made in the time domain evaluating the covariances of the nonstationary pre-envelope showing the differences between the proposed definition and the classical one made introducing the evolutionary power.

2018 ◽  
Vol 8 (1) ◽  
Author(s):  
Laszlo Gyongyosi ◽  
Sandor Imre

AbstractA fundamental concept of the quantum Internet is quantum entanglement. In a quantum Internet scenario where the legal users of the network have different priority levels or where a differentiation of entanglement availability between the users is a necessity, an entanglement availability service is essential. Here we define the entanglement availability differentiation (EAD) service for the quantum Internet. In the proposed EAD framework, the differentiation is either made in the amount of entanglement with respect to the relative entropy of entanglement associated with the legal users, or in the time domain with respect to the amount of time that is required to establish a maximally entangled system between the legal parties. The framework provides an efficient and easily-implementable solution for the differentiation of entanglement availability in experimental quantum networking scenarios.


1997 ◽  
Vol 1588 (1) ◽  
pp. 104-109 ◽  
Author(s):  
Gary S. Spring

Expert system validation—that is, testing systems to ascertain whether they achieve acceptable performance levels—has with few exceptions been ad hoc, informal, and of dubious value. Very few efforts have been made in this regard in the transportation area. A discussion of the major issues involved in validating expert systems is provided, as is a review of the work that has been done in this area. The review includes a definition of validation within the context of the overall evaluation process, descriptions and critiques of several approaches to validation, and descriptions of guidelines that have been developed for this purpose.


2021 ◽  
pp. 106-155
Author(s):  
Victor Lazzarini

This 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. The fast Fourier transform is explored as an efficient algorithm for the computation of the DFT. The operation of discrete-time convolution is presented as a straight application of the DFT in musical signal processing. The chapter closes with a detailed look at time-varying convolution, which extends the principles developed earlier. The conclusion expands the definition of spectrum once more.


2021 ◽  
Author(s):  
Wolfgang Ernst

Any media event is a time function of signals. In favor of a diagrammatic definition of technological media, media archaeological investigation is not only concerned with their structural “hardwired” level but with their operative unfolding-in-time as well. Such an understanding of techno-temporalities does not focus on phenomenal effects of media on humans but primarily refers to the microregimes within technological devices. In that sense, “hardwired temporality” refers to the infrastructuring of time by technologies and to temporal structures which are revealed from within techno-logical knowledge itself. From that arises an epistemology of technical processuality beyond the conventional notion of “time.”


Author(s):  
J. S. Morgan ◽  
R. Ekers

Abstract We report on the detection of source noise in the time domain at 162 MHz with the Murchison Widefield Array. During the observation, the flux of our target source Virgo A (M87) contributes only $\sim$ 1% to the total power detected by any single antenna; thus, this source noise detection is made in an intermediate regime, where the source flux detected by the entire array is comparable with the noise from a single antenna. The magnitude of source noise detected is precisely in line with predictions. We consider the implications of source noise in this moderately strong regime on observations with current and future instruments.


Author(s):  
Alberto Porta ◽  
Paolo Castiglioni ◽  
Marco Di Rienzo ◽  
Tito Bassani ◽  
Vlasta Bari ◽  
...  

We studied causal relations among heart period (HP), systolic arterial pressure (SAP) and respiration (R) according to the definition of Granger causality in the time domain. Autonomic pharmacological challenges were used to alter the complexity of cardiovascular control. Atropine (AT), propranolol and clonidine (CL) were administered to block muscarinic receptors, β-adrenergic receptors and centrally sympathetic outflow, respectively. We found that: (i) at baseline, HP and SAP interacted in a closed loop with a dominant causal direction from HP to SAP; (ii) pharmacological blockades did not alter the bidirectional closed-loop interactions between HP and SAP, but AT reduced the dominance of the causal direction from HP to SAP; (iii) at baseline, bidirectional interactions between HP and R were frequently found; (iv) the closed-loop relation between HP and R was unmodified by the administration of drugs; (v) at baseline, unidirectional interactions from R to SAP were often found; and (vi) while AT induced frequently an uncoupling between R and SAP, CL favoured bidirectional interactions. These results prove that time domain measures of Granger causality can contribute to the description of cardiovascular control by suggesting the temporal direction of the interactions and by separating different causality schemes (e.g. closed loop versus unidirectional relations).


2021 ◽  
pp. 1-17
Author(s):  
Stevan Berber

This chapter introduces the subject of the book, defines the main terms in communication systems that will be used in the book, and presents the objectives of the book. It also presents classifications of signals and systems, and theoretical concepts related to the signal conversions in the time domain that will be used in subsequent chapters. The signals are classified using various criteria, including periodicity and symmetry, continuity and discreteness, power and energy properties, randomness, and physical realizability of signals. Analogue-to digital and digital-to-analogue conversions and their places and importance in the processing of signals in relation to their application in communication systems are briefly explained. The final section returns back to the definition of the signals related to the continuity and discreteness in time and their values, due to the importance of distinguishing them in the theoretical analysis and design of digital and discrete communication systems.


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