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The predictability of continuous-time, bandlimited processes

R.J. Lyman, W.W. Edmonson, S. McCullough, M. Rao
2000 IEEE Transactions on Signal Processing  
We consider a continuous-time linear predictor applied to a bandlimited process.  ...  In communications and signal processing, one can find examples of applications that could benefit from the prediction of a bandlimited random process.  ...  In this paper, we consider the predictablility of a bandlimited random process using a continuous-time linear predictor, rather than a linear combination of past samples.  ... 
doi:10.1109/78.823959 fatcat:r3vlggw4rffonbtzinoindxure

Minimum-Energy Bandlimited Time-Variant Channel Prediction With Dynamic Subspace Selection

Bernard Fleury, Christoph Mecklenbräuker, Thomas Zemen
2006 Zenodo  
Publication in the conference proceedings of EUSIPCO, Florence, Italy, 2006  ...  Slepian [2] showed that time-limited snapshots of a bandlimited sequence can be continued uniquely in the minimum-energy (ME) bandlimited sense.  ...  The bandlimitation is chosen according to the Doppler bandwidth of the time-selective fading process.  ... 
doi:10.5281/zenodo.52668 fatcat:zpi4tdeonvbtjnn5tzusedxcwm

Prediction of Bandlimited Fading Envelopes with Arbitrary Spectral Shape

Raphael Lyman, Adam Sikora
2007 IEEE Transactions on Wireless Communications  
We show how to compute the minimum mean squared prediction error of a mobile-radio fading envelope modeled as a stationary, bandlimited process arising from a diffuse set of local scatterers.  ...  Our method reduces the prediction problem to an eigenvalue decomposition, and is appropriate when the prediction is to be based on error-corrupted estimates of a narrowband fading process.  ...  Thus, a prediction based on discrete estimates of the fading envelope can be expected to approach the performance of a continuous-time predictor.  ... 
doi:10.1109/twc.2007.348352 fatcat:6c4fnouck5depj4nlk2whkau3u

Time-Variant Channel Prediction using Time-Concentrated and Band-Limited Sequences

Thomas Zemen, Christoph Mecklenbrauker, Bernard Fleury
2006 2006 IEEE International Conference on Communications  
We present the basic methodology for minimumenergy bandlimited prediction of time-variant flat Rayleighfading channels.  ...  We extend this concept to the problem of time-variant channel prediction.  ...  ACKNOWLEDGEMENTS The work of Thomas Zemen and Christoph F.  ... 
doi:10.1109/icc.2006.255565 dblp:conf/icc/ZemenMF06 fatcat:ndhnkp5ejffk5lzmwxktnlqr2i

Active Sampling for Approximately Bandlimited Graph Signals [article]

Sijie Lin, Xuan Xie, Hui Feng, Bo Hu
2019 arXiv   pre-print
This paper investigates the active sampling for estimation of approximately bandlimited graph signals.  ...  With the assistance of a graph filter, an approximately bandlimited graph signal can be formulated by a Gaussian random field over the graph.  ...  For brevity, the time index (t) of Ψ, y s are omitted.  ... 
arXiv:1902.04265v2 fatcat:ilxj7yoftnfbhojly7fwg35ski

Extrapolated full waveform inversion with deep learning [article]

Hongyu Sun, Laurent Demanet
2019 arXiv   pre-print
The bandlimited recordings are the inputs of the CNN and, in our numerical experiments, a neural network trained from enough samples can predict a reasonable approximation to the seismograms in the unobserved  ...  In extrapolated FWI (EFWI), the low-wavenumber components of the model are determined from the extrapolated low frequencies, before proceeding with a frequency sweep of the bandlimited data.  ...  For testing, bandlimited (and not otherwise processed) data from a new geophysical scenario are used as input of the network, and the network generates a prediction of the low frequencies.  ... 
arXiv:1909.11536v2 fatcat:ctmk7luxrvgarageme622g43sa

Autoregressive modeling for fading channel simulation

K.E. Baddour, N.C. Beaulieu
2005 IEEE Transactions on Wireless Communications  
Autoregressive stochastic models for the computer simulation of correlated Rayleigh fading processes are investigated.  ...  The unavoidable numerical difficulties inherent in this method are elucidated and a simple heuristic approach is adopted to enable the synthesis of accurately correlated, bandlimited Rayleigh variates.  ...  Young of the iCORE Wireless Communications Laboratory at the University of Alberta for providing the MATLAB implementation of the IDFT algorithm of [2] .  ... 
doi:10.1109/twc.2005.850327 fatcat:sdtepmwqkfccdcasvgp6ab5twi

Rate-distortion problem for physics based distributed sensing

Baltasar Beferull-Lozano, Robert L. Konsbruck, Martin Vetterli
2004 Proceedings of the third international symposium on Information processing in sensor networks - IPSN'04  
The heat source is modelled as a continuous space-time stochastic process which is bandlimited over space and time.  ...  The temperature field is the result of a circular convolution over space and a continuous-time causal filtering over time of the heat source with the Green's function corresponding to the heat equation  ...  of βm(t), but without the bandlimitedness.  ... 
doi:10.1145/984622.984670 dblp:conf/ipsn/Beferull-LozanoKV04 fatcat:e52ll6fzwbfcnnd5fxmahd6myi

Nonuniform Sampling of Periodic Bandlimited Signals

E. Margolis, Y.C. Eldar
2008 IEEE Transactions on Signal Processing  
Digital processing techniques are based on representing a continuous-time signal by a discrete set of samples.  ...  Extending the samples periodically across the boundaries, and assuming that the underlying continuous time signal is bandlimited, provides a simple way to deal with reconstruction from finitely many samples  ...  We then develop an efficient interpretation of the reconstruction processes from uniform and recurrent nonuniform samples using continuous-time linear time-invariant (LTI) filters.  ... 
doi:10.1109/tsp.2008.917416 fatcat:pnfkbjvkq5gj3bsjth4u62gdbq

Page 1679 of Mathematical Reviews Vol. , Issue 84d [page]

1984 Mathematical Reviews  
A bandlimited function or random process is observed at the times tx+),°**,fx+n and is then estimated at other times by the Lagrange interpolation formula.  ...  The coding capacity is calculated in this setting and also for time- continuous channels.  ... 

Sampling theory for graph signals

Siheng Chen, Aliaksei Sandryhaila, Jelena Kovacevic
2015 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)  
We use this general result to derive a sampling theorem for bandlimited graph signals in the framework of discrete signal processing on graphs.  ...  By imposing a specific structure on the graph, graph signals reduce to finite discrete-time or discrete-space signals, effectively ensuring that the proposed sampling theory works for such signals.  ...  The authors gratefully acknowledge support from the NSF through awards 1130616 and 1017278, and CMU Carnegie Institute of Technology Infrastructure Award.  ... 
doi:10.1109/icassp.2015.7178600 dblp:conf/icassp/ChenSK15 fatcat:b7jmd4crnffkpkrvpmelu2fk54

On detecting predictability of one-sided sequences

Nikolai Dokuchaev
2017 Digital signal processing (Print)  
We consider predicting and predictability for discrete time processes in a pathwise setting where only a sole one-sided semi-infinite sequences of past values is available, and where statistical properties  ...  We obtain some sufficient conditions of predictability in the terms of degeneracy of frequency characteristics representing one-sided modifications of the Z-transform.  ...  Acknowledgment This work was supported by ARC grant of Australia DP120100928 to the author.  ... 
doi:10.1016/j.dsp.2016.11.002 fatcat:nbfkxoiyqjdn3patzlfneo5gvm

On the irreducible error floor in fast fading channels

B.D. Hart, D.P. Taylor
2000 IEEE Transactions on Vehicular Technology  
This is observed even in practical implementations of maximum likelihood sequence detectors (MLSDs) [1, 2] .  ...  We find that all finite-complexity receivers must exhibit an error floor unless the channel has very specific properties. Thus the error floors found in [1, 2] are explained in a more rigorous manner.  ...  The problem of predicting sampled stationary random processes is studied in [6] . If the process is the sum of a countable number N ce of complex exponentials, then it is predictable.  ... 
doi:10.1109/25.845121 fatcat:uwiguhzzffft5pzah4lba6qoge

Sampling Theorems for Stochastic Signals. Appraisal of Paul L. Butzer's Work

Tibor K. Pogány
2019 Axioms  
The sampling reconstruction theory is one of the great areas of the analysis in which Paul Leo Butzer earned longstanding and excellent theoretical results.  ...  Thus, we are forced either by earlier exhaustive presentations of his research activity and/or the highly voluminous material to restrict ourselves to a more narrow and precise sub-area in consideration  ...  By their kind guiding process, this survey note encompasses its final desired form. Conflicts of Interest: The author declares no conflict of interest. Axioms 2019, 8, 91  ... 
doi:10.3390/axioms8030091 fatcat:uwotmtj2ljgndatqm3hekembua

Optimal mean-square prediction of the mobile-radio fading envelope

R.J. Lyman
2003 IEEE Transactions on Signal Processing  
Because the fading envelope is well modeled as a bandlimited process it has special predictability properties.  ...  Long-range prediction of the mobile-radio fading envelope is an enabling technology for many fading compensation approaches.  ...  In a previous work, we showed that a bandlimited process is perfectly predictable if past values are known without error on a continuous interval [4] .  ... 
doi:10.1109/tsp.2002.808117 fatcat:3vn3m2od4bhw5b7ywrutzzcqcq
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