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Solution of the peak value problem for Gabor's theory of communication
2012
2012 International Symposium on Signals, Systems, and Electronics (ISSSE)
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Based on this result, we analyze the asymptotic growth behavior of the Hilbert transform of signals in B ∞ π and solve the peak value problem of the Hilbert transform. ...
Since, for certain bounded signals, the common integral definition of the Hilbert transform may diverge, it was long thought that the Hilbert transform does not exist for general bounded signals. ...
PEAK VALUE PROBLEM The peak value of signals is important for many applications, e.g., for the hardware design in mobile communications. ...
doi:10.1109/issse.2012.6374340
dblp:conf/issse2/BocheM12
fatcat:d4v5euj7rrcq3f3nmgbf22nwpq
An Optimal Basis of Band-Limited Functions for Signal Analysis and Design
2010
IEEE Transactions on Signal Processing
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The minimum th moment time-duration measure for band-limited signals is formulated. ...
Applications for our basis functions include: 1) radar systems and high resolution communication systems, and 2) representation and approximation to any band-limited signal in a given time interval. ...
Andrews, a senior lecture in the Mathematical Science Institute, Australian National University, who gave us help in the proof of the completeness of our basis functions. ...
doi:10.1109/tsp.2010.2057427
fatcat:qyffii2bjjdzpicutck4pjttze
Theory of the Hilbert Spectrum
[article]
2015
arXiv
pre-print
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This paper is a contribution to the old problem of representing a signal in the coordinates of time and frequency. ...
As the starting point, we abandon Gabor's complex extension and re-evaluate fundamental principles of time-frequency analysis. ...
Antonia Papandreou-Suppappola of the School of Electrical, Computer and Energy Engineering at Arizona State University for reviewing an early draft of this manuscript. ...
arXiv:1504.07554v4
fatcat:yrqzuqs27zaqjd7sl24o4wazmm
Diffraction-contrast imaging of cold atoms
2005
Physical Review A. Atomic, Molecular, and Optical Physics
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Under the conditions required for off-resonant imaging, the generally-intractable inverse problem may be linearized. ...
We consider the inverse problem of in-line holography, applied to minimally-destructive imaging of cold atom clouds. ...
The inverse problem of retrieving the structure of a noncrystalline object from its Fresnel diffraction pattern has been studied since Gabor's first incomplete solution, known as in-line holography [1 ...
doi:10.1103/physreva.72.031403
fatcat:d36rwfsqyjh6lhjgz2cvqoqzdu
Application of the Maximum Principle to the Design of Minimum Bandwidth Pulses
1965
IRE Transactions on Communications Systems
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Shnidman [7] considered the situation in which a peak-value constraint is added to the matched filter problem of radar theory. ...
For intermedia.te values of peak-to-rms ratio, the solution represents, from the point of view of minimum bandwidth, the optimum modification of a rectangular pulse. ...
doi:10.1109/tcom.1965.1089158
fatcat:x4ijszffi5bathm5boc6etamfy
Attributing Scientific and Technological Progress: The Case of Holography
2005
History & Technology
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Holography, the three-dimensional imaging technology, was portrayed widely as a paradigm of progress during its decade of explosive expansion 1964-73, and during its subsequent consolidation for commercial ...
Waves of forecasts, associated with different sponsors and user communities, cast holography as a field on the verge of success-but with the dimensions of success repeatedly refashioned. ...
the Friends of the Center for the History of Physics at the American Institute of Physics, and the very helpful comments of anonymous referees. ...
doi:10.1080/07341510500198701
fatcat:lq6s6icmdfa5nj55xb3wnlc724
Communicating with waves between volumes: evaluating orthogonal spatial channels and limits on coupling strengths
2000
Applied Optics
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The communication channels are the solutions of two eigenvalue problems and are identical to the cavity modes of a double phase-conjugate resonator. ...
How to estimate the connection strengths in some cases without a full solution of the eigenvalue problem is discussed so that estimates of the number of usable communications modes can be made from the ...
We can get an intuitive feel for the problem's solution by considering elementary diffraction theory. ...
doi:10.1364/ao.39.001681
pmid:18345068
fatcat:5v4tkyzkz5cefegnm3iv7jw3x4
The PAPR Problem in OFDM Transmission: New Directions for a Long-Lasting Problem
2013
IEEE Signal Processing Magazine
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Peak power control for multicarrier communications has been a long-lasting problem in signal processing and communications. ...
The combination of large deviation theory, de-randomization and selected elements of Banach space geometry will offer a novel approach and will provide ideas and concepts for researchers with a background ...
There is an interesting connection of the PAPR problem to the Hilbert transform context: since in many standard communication models, e.g., in Gabor's famous "Theory of Communication" [67] , [68] , the ...
doi:10.1109/msp.2012.2218138
fatcat:npuit6keifhzzgc6q43eqaco2y
Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals
1992
Proceedings of the IEEE
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It is shown that all these notions are well described in the context of the theory presented. ...
For such signals, the notion of frequency loses its effectiveness, and one needs to use a parameter which accounts for the time-varying nature of the process. ...
in areas such as communication theory. ...
doi:10.1109/5.135376
fatcat:3jjoe6bkzzh5ndqxbj3dskrmt4
Receptive fields and the representation of visual information
1986
Human neurobiology
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In particular, we derive an explicit formula for constructing large receptive fields from small ones, and introduce the notion of de-blurring to derive interpolation filters for hyperacuity. ...
of representations at the cortex. ...
More recent attempts are based on different basis func¬ tions: those that come out of D. Gabor’s theory of com¬ munication (Gabor 1946, Marcelja 1980). ...
pmid:3733474
fatcat:g7vltksfw5et5b67ddwducnp5q
Fourier-t-Transformation (FTT) – a MATLAB tool
[article]
2022
Zenodo
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a frequency-dependent size for analysis windows. ...
More precisely, it uses window sizes where the related bandwidth matches the respective bandwidth of human hearing. ...
as a relevant parameter for communication systems. ...
doi:10.5281/zenodo.7381478
fatcat:ncnp5qgzgbee3jyib3dcsg5yaa
Division of labor between M and P visual pathways: Different visual pathways minimize joint entropy differently
2008
Psychology and Neuroscience
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This performance fulfils the requirements of different behavioral tasks. Keywords: vision, M and P pathways, visual parallel processing, fourier space, joint entropy, information theory. ...
This separation allows the M and P pathways to transmit visual signals with distinct 6D joint entropy for space, spatial frequency, time, and temporal frequency. ...
ARR and GSS have CAPES studentship for graduates. VAS has a CNPq studentship for undergraduate students. ...
doi:10.3922/j.psns.2008.1.002
fatcat:wgjuijn6zrhuzebkmshch7pfee
Quantized Constant-Q Gabor Atoms for Sparse Binary Representations of Cyber-Physical Signatures
2020
Entropy
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Binary metrics are proposed for the quantification of cyber-physical signal characteristics and features, and a standardized constant-Q variation of the Gabor atom is developed for use with wavelet transforms ...
A sparse superposition of Nth order Gabor atoms worked well against a synthetic blast transient using the wavelet entropy and an entropy-like parametrization of the SNR as the CWT coefficient-weighting ...
It is worth considering an alternate definition for the quality factor of an oscillator. Consider the time required for the amplitude to drop to 1/e of its peak value. ...
doi:10.3390/e22090936
pmid:33286705
pmcid:PMC7597198
fatcat:xyow2fphzffrtjl57wzbwfyud4
Wavelets, vision and the statistics of natural scenes
1999
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
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Over the last decade, a range of studies has focused on the question of 'why' the visual system would evolve this strategy of coding spatial information. ...
It is argued that such wavelet codes are efficient because they increase the independence of the vectors' outputs (i.e. they increase the independence of the responses of the visual neurons) by finding ...
It was not until 1980 (Marcelja 1980 ) that the functions describing these receptive fields were considered in terms of Gabor's 'theory of communication' (Gabor 1946) . ...
doi:10.1098/rsta.1999.0446
fatcat:qfn2opjrhnghtkzfqmnmco42ey
QUANTUM LIMITATIONS ON THE STORAGE AND TRANSMISSION OF INFORMATION
1990
International Journal of Modern Physics C
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Quantum limits on communication and information storage leading to these conclusions are here described. Quantum channel capacity theory is reviewed for both steady state and burst communication. ...
A heuristic "proof" of the linear bound on communication is given, followed by rigorous proofs for signals with specified mean energy, and for signals with given energy budget. ...
Partial support by a grant from the Wolf Foundation for the Advancement of Science and Art administered by the Israel National Academy of Sciences is acknowledged. ...
doi:10.1142/s0129183190000207
fatcat:icc3geiud5ej3nzsgobksm64ge
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