Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/signal-enhancement-and-the-method-of-successive-projections-YVZ8mdvqHU
References (62)
-
A. Janssen, R. Veldhuis, L. Vries (1986)
Adaptive interpolation of discrete-time signals that can be modeled as autoregressive processesIEEE Trans. Acoust. Speech Signal Process., 34
-
A. Levi, H. Stark (1984)
Image restoration by the method of generalized projections with application to restoration from magnitude -
P. Combettes, H. Trussell (1990)
NEW METHODS FOR THE SYNTHESIS OF SET THEORETIC ESTIMATES -
J. A. Cadzow, Y. Sun, G. Xu (1988)
SVD and Signal Processing -
J. Cadzow, T.-C. Chen (1989)
Algebraic approach to two-dimensional recursive digital filter synthesisIEEE Trans. Acoust. Speech Signal Process., 37
-
E. Beale, W. Zangwill (1970)
Nonlinear Programming: A Unified Approach., 133
-
D. Griffin, Jae Lim (1983)
Signal estimation from modified short-time Fourier transform -
N. Hurt (1989)
Phase Retrieval and Zero Crossings: Mathematical Methods in Image Reconstruction -
A. Papoulis (1975)
A new algorithm in spectral analysis and band-limited extrapolation.IEEE Transactions on Circuits and Systems Ii: Analog and Digital Signal Processing
-
H. Trussell (1981)
Maximum power signal restorationIEEE Transactions on Acoustics, Speech, and Signal Processing, 29
-
J. Cadzow (1988)
Signal enhancement: a useful signal processing toolFourth Annual ASSP Workshop on Spectrum Estimation and Modeling
-
A. Dempster, N. Laird, D. Rubin (1977)
Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper -
A. P. Dempster, N. M. Laird, D. R. Rubin (1980)
Iteratively reweighted least squares for linear regression when errors are normal/independent distributedMultivar. Anal., V
-
R. Gerchberg (1972)
A practical algorithm for the determination of phase from image and diffraction plane picturesOptik, 35
-
I. Halperin (1962)
The product of projection operatorsActa Sci. Math., 23
-
S. Curtis, A. Oppenheim, J. Lim (1985)
Signal reconstruction from Fourier transform sign informationIEEE Trans. Acoust. Speech Signal Process., 33
-
P. Combettes, H. Trussell (1990)
New methods for the synthesis of set theoretic estimates (digital signal processing)International Conference on Acoustics, Speech, and Signal Processing
-
R. Barakat, G. Newsam (1985)
Algorithms for reconstruction of partially known, bandlimited Fourier transform pairs from noisy data, I.J. Integral Equations, 9
-
D. G. Luenberger (1973)
Introduction to Linear and Non-linear Programming -
H. Trussell, M. Civanlar (1984)
The feasible solution in signal restorationIEEE Transactions on Acoustics, Speech, and Signal Processing, 32
-
I. Singer (1964)
Some remarks on approximative compactnessRev. Roumaine Math. Pures Appl., 9
-
I. Singer (1974)
The Theory of Best Approximation and Functional Analysis -
R. Barakat, G. Newsam (1985)
Algorithms for reconstruction of partially known, band-limited Fourier-transform pairs from noisy dataJournal of The Optical Society of America A-optics Image Science and Vision, 2
-
D. Youla, H. Webb (1982)
Image Restoration by the Method of Convex Projections: Part 1ߞTheoryIEEE Transactions on Medical Imaging, 1
-
A. P. Dempster, N. M. Laird, D. R. Rubin (1977)
Maximum likelihood from incomplete data via the EM algorithmAnn. Roy. Stat. Soc. B, 39
-
M. Goldburg, R. Marks (1985)
Signal synthesis in the presence of an inconsistent set of constraintsIEEE Transactions on Circuits and Systems, 32
-
A. Dembo (1989)
Signal reconstruction from noisy partial information of its transformIEEE Trans. Acoust. Speech Signal Process., 37
-
B. Musicus, J. Lim (1979)
Maximum likelihood parameter estimation of noisy data -
J. Cadzow (1988)
Signal enhancement-a composite property mapping algorithmIEEE Trans. Acoust. Speech Signal Process., 36
-
H. Stark (1987)
Image recovery: Theory and application -
W. J. Stiles (1965)
Closest point maps and their product IINieuw Arch. Wisk., 13
-
M. Civanlar, H. Trussell (1986)
Digital signal restoration using fuzzy setsIEEE Trans. Acoust. Speech Signal Process., 34
-
A. Oppenheim, J. Lim, S. Curtis (1983)
Signal synthesis and reconstruction from partial Fourier-domain informationJournal of the Optical Society of America, 73
-
S. Bowling, S. Lai (1979)
The use of linear prediction for the interpolation and extrapolation of missing data and data gaps prior to spectral analysis, 80
-
I. Singer (1970)
Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces -
J. Fienup (1978)
Space Object Imaging Through The Turbulent Atmosphere, 0149
-
J. Fienup (1978)
Reconstruction of an object from the modulus of its Fourier transform.Optics letters, 3 1
-
J. Sanz (1985)
Mathematical Considerations for the Problem of Fourier Transform Phase Retrieval from MagnitudeSiam Journal on Applied Mathematics, 45
-
Author Wu, F. BYC., WU Jeff (1983)
ON THE CONVERGENCE PROPERTIES OF THE EM ALGORITHMAnnals of Statistics, 11
-
D. Youla (1990)
On deterministic convergence of iterations of relaxed projection operatorsJ. Vis. Commun. Image Represent., 1
-
N. V. Efimov, S. B. Stechkin (1961)
Approximative compactness and Chebyshev setssov. Math. Dokl., 2
-
L. M. Bregman (1965)
The method of successive projections for finding a common point of convex setsDokl. Akad. Nauk SSSR, 162
-
P. Combettes, H. Trussell (1990)
Method of successive projections for finding a common point of sets in metric spacesJournal of Optimization Theory and Applications, 67
-
M. Hayes (1982)
The reconstruction of a multidimensional sequence from the phase or magnitude of its Fourier transformIEEE Transactions on Acoustics, Speech, and Signal Processing, 30
-
H. Webb, D. Youla, H. Stark (1982)
Image Restoration by the Method of Projection onto Convex Sets. Part I -
V. Tom, T. Quatieri, M. Hayes, J. McClellan (1981)
Convergence of iterative nonexpansive signal reconstruction algorithmsIEEE Transactions on Acoustics, Speech, and Signal Processing, 29
-
W. W. Breckner (1968)
Bemerkungen uber die existenz von minimallosungen in normierten linearen raumenMathematica (Cluj), 10
-
N. Hurt (1989)
Phase Retrieval and Zero Crossings -
J. Cadzow, Y. Sun, G. Xu (1989)
Detection of multiple sinusoids in white noise: a signal enhancement approach -
D. C. Youla, H. Webb (1982)
Image restoration by the method of convex projections: Part I—TheoryIEEE MI, 1
-
Y. Kim, J. Cadzow, H. Park (1989)
Signal enhancement approach for high resolution of multiple broadband incoherent sourcesInternational Conference on Acoustics, Speech, and Signal Processing,
-
M. Hayes, J. Lim, A. Oppenheim (1980)
Signal reconstruction from phase or magnitudeIEEE Transactions on Acoustics, Speech, and Signal Processing, 28
-
L. Gubin, Boris Polyak, É. Raik (1967)
The method of projections for finding the common point of convex setsUssr Computational Mathematics and Mathematical Physics, 7
-
D. Youla, V. Velasco (1986)
Extensions of a result on the synthesis of signals in the presence of inconsistent constraintsIEEE Transactions on Circuits and Systems, 33
-
R. Schmidt (1981)
A signal subspace approach to multiple emitter location and spectral estimation -
Hong Wang, M. Kaveh (1985)
Coherent signal-subspace processing for the detection and estimation of angles of arrival of multiple wide-band sourcesIEEE Trans. Acoust. Speech Signal Process., 33
-
H. Mittelmann, J. Cadzow (1987)
Continuity of closest rank-p approximations to matricesIEEE Trans. Acoust. Speech Signal Process., 35
-
J. Sanz, Thomas Huang (1984)
Phase reconstruction from magnitude of band-limited multidimensional signalsJournal of Mathematical Analysis and Applications, 104
-
B. Musicus (1983)
Iterative algorithms for optimal signal reconstruction and parameter identification given noisy and incomplete data -
D. Youla (1978)
Generalized Image Restoration by the Method of Alternating Orthogonal Projections -
P. Combettes (1989)
Set theoretic estimation in digital signal processing -
P. Combettes, H. Trussell (1989)
Methods for digital restoration of signals degraded by a stochastic impulse responseIEEE Trans. Acoust. Speech Signal Process., 37
- Publisher
- Springer Journals
- Copyright
- Copyright
- Subject
- Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/BF00048803
- Publisher site
- See Article on Publisher Site
Abstract
The signal enhancement algorithm of Cadzow is developed in the context of best approximation theory and Combettes' method of successive projections, which is a generalization of the method of projection on convex sets. The relevant mathematical methods are surveyed. Applications of the signal enhancement algorithm to direction-of-arrival array signal processing for narrow-band and wide-band sources, data interpolation, signal detection, and x-ray fluorescence spectrum processing are presented.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: May 4, 2004