Home
Overview
Our Team
Contact Us

Dr. Igor Aizenberg

Project Research and Development Leader

E-mail: igor dot aizenberg at gmail dot com

OBJECTIVE JOB EXPIRIENCE

  • Research on: Neural networks. Universal binary and multi-valued neural elements; learning algorithms,
  • Research on: Image processing (satellite and medical imaging)
  • Application of the neural networks in image processing and pattern recognition.
  • Applied image processing.
  • Lecturing in the university (graduate and undergraduate courses).

EDUCATION

  • State University of Uzhgorod, Department of Mathematics, Uzhgorod, USSR (Ukraine), MD in Mathematics 1977-1982,
  • Doctor of Mathematics and Computer Science (PhD) (1986) from the Computing Center of the USSR (now Russian) Academy of Sciences, Moscow, USSR (Russia). Doctoral thesis: "Parametric Representation of the Boolean Functions in Digital Signal Processing"

EMPLOYMENT EXPERIENCE

  • Visiting Fellow at the University of Dortmund (Germany) (Department of Computer Science), 2003 (spring semester).
    Research in the following fields: Nonlinear and Neural Image Filtering, Signal Processing in an Arbitrary Basis and its applications; Neural Networks and its applications in Image Processing and Recognition. Series of seminars and lectures.
  • Visiting Fellow at the International Center for Signal Processing of the Tampere University of Technology (Tampere, FINLAND), 2002 (fall semester); visiting researcher at the same place in 1997 and 1998.
    Research in the following fields: Nonlinear and Neural Image Filtering, Signal Processing in an Arbitrary Basis and its applications, Image Restoration including Blur Identification using Neural Network, Multi-Valued and Universal Binary Neurons. Advising of PhD students.
  • Company Neural Networks Technologies Ltd. (Israel) – Head of the Research Department, 1999-2002.
    Research in the field of Neural Networks, Image Processing (nonlinear filters), Universal Image Processing Software System “VEGA” (Project Leader); Pattern Recognition; Pattern Recognition Neural Network-based System (Project Leader); Information Encryption Neural-based System “Absolute Cryptographer” (Project Co-Leader);
  • Visiting researcher in the Department Elektrotechniek ESAT/SISTA of the Catholic University of Leuven (KU Leuven, BELGIUM), 1996-1998.
    Research in the following fields: Neural Networks, Multi-valued and Universal Binary Neurons, Learning Algorithms, Application of Neural Networks and Nonlinear Neural Filters in Image Processing, Application of Neural Networks for Pattern Recognition and Time-Series Prediction.
  • Visiting researcher in the International Signal Processing Laboratory of the Tampere University of Technology (Tampere, FINLAND), 1997 and 1998.
    Research in the field of nonlinear image filtering.
  • Associate Professor of the Department of Cybernetics in the State University of Uzhgorod USSR-UKRAINE 1990 –1996 and 1998-1999. Research in the following fields: Neural Networks, Multi-valued and Universal Binary Neurons, Learning Algorithms,
    Application of Neural Networks and Nonlinear Neural Filters in Image Processing; Application of the Neural Networks in Pattern Recognition.
  • Lecture courses prepared for the graduate students: “Neural Networks”, “Applications of Neural Networks”, “Applied Image Processing”, “Discrete Spectral Analysis”, “Medical Image Processing”.
  • Scientific researcher in the Institute for Information Transmission Problems of the USSR (now-Russian) Academy of Sciences, Moscow, USSR (Russia)- 1982 - 1990.
    Research in the following fields: Universal Binary Neurons (theory and synthesis), Image Processing (linear and nonlinear filtering)
  • Head of the Research Department in the company PGD-DKL LTD (from 1994 - company Inform-RTG LTD), Uzhgorod, Ukraine - Moscow (Russia) (1990 – 1995);
    Scientific advisor to the same company (1995-1996);
    Image Processing Software System (Project Leader); Information Encryption Software System (Project Leader); Time-Series Prediction Software System (Project Leader). Research in the following fields: Neural Networks, Multi-valued and Universal Binary Neurons, Learning Algorithms,
    Application of Neural Networks and Nonlinear Neural Filters in Image Processing and Recognition.THE MAIN PUBLICATIONS

THE MAIN PUBLICATIONS

BOOKS

  1. Aizenberg I.N., Aizenberg N.N. and Vandewalle J. “Multi-valued and universal binary neurons: theory, learning, applications” (monograph book) – Kluwer Academic Publishers, Boston/Dordrecht/London, 2000.

JOURNALS
AND
CONFERENCES PROCEEDINGS
PUBLICATIONS

2003

  1. Aizenberg I. and Butakoff C. "Sperresolution and Supersampling by Spectral Extrapolation", Pattern Recognition and Image Analysis (submitted).
  2. Aizenberg I., Astola J., Bregin T., Butakoff C., Egiazarian K. and Paliy D. "Detectors of the impulsive noise and new effective filters for impulsive noise reduction", SPIE Proceedings Vol. 5014 (accepted, to appear in May, 2003).
  3. Aizenberg I. and Butakoff C. "Effective Impulse Detectors Based on Rank-Order Criteria", IEEE Signal Processing Letters (submitted).
  4. Aizenberg I., Astola J., Butakoff C., Egiazarian K. and Paliy D. "Precise Edge Detection and its Implementation Using Threshold Boolean Filter", submitted to IEEE International Conference on Image Processing (ICIP'2003).
  5. Aizenberg I., Astola J., Butakoff C., Egiazarian K. and Paliy D. "Effective Detection and Elimination of Impulsive Noise with a Minimal Image Smoothing", submitted to IEEE International Conference on Image Processing (ICIP'2003).

    6. 2002

  6. Aizenberg I. and Butakoff C. "Median in Periodic Noise Filtering", IEEE Transactions on Image Processing (submitted).
  7. Aizenberg I. and Butakoff C. "Image Processing Using Cellular Neural Networks Based on Multi-Valued and Universal Binary Neurons", Journal of VLSI signal processing (Kluwer), Vol. 32, 2002, pp. 169-188.
  8. Aizenberg I., Myasnikova E., Samsonova M. and Reinitz J. "Temporal Classification of Drosophila Segmentation Gene Expression Patterns by the Multi-Valued Neural Recognition Method", Journal of Mathematical Biosciences (Elsevier), Vol.176 (1), 2002, pp. 145-159.
  9. Aizenberg I. and Butakoff C. "Median in Spatial and Frequency Domain Filtering", SPIE's International Technical Groups Newsletters on Electronic Imaging, Vol. 12, No2, June 2002, p.4.
  10. Aizenberg I. and Butakoff C. "Frequency Domain Median-like Filter for Periodic and Quasi-Periodic Noise Removal", SPIE Proceedings Vol. 4667 Image Processing: Algorithms and Systems, 2002, pp. 181-191 .
  11. Aizenberg I., Butakoff C., Karnaukhov V., Merzlyakov N. and Milukova O. “Blurred Image Restoration Using the Type of Blur and Blur Parameters Identification on the Neural Network”, SPIE Proceedings vol. 4667 Image Processing: Algorithms and Systems, 2002, pp. 460-471.
  12. Aizenberg I., Butakoff C., Myasnikova E., Samsonova M. and Reinitz J. “Classification of the Images of Gene Expression Patterns Using Neural Network Based on Multi-Valued Neurons with the Minimal Number of Inputs”, Applications of Artificial Neural Networks in Image Processing VII, SPIE Proceedings vol. 4668, 2002, (Nasser M. Nasrabadi; Aggelos K. Katsaggelos; Eds), pp. 10-19.
  13. Aizenberg I., Butakoff C., Astola J. and Egiazarian K. "Nonlinear Frequency Domain Filter for the Quasi-Periodic Noise Removal", Proceedings of International TICSP Workshop on Spectral Methods and Multirate Signal Processing, SMMSP'2002 (K.Egiazarian, T.Saramaki , J.Astola - Eds.), TICSP Series #17, 2002, pp. 147-153.
  14. Aizenberg I., Bregin T. and Paliy D. “New Method for the Impulsive Noise Filtering Using its Preliminary Detection”, SPIE Proceedings Vol. 4667 Image Processing: Algorithms and Systems, 2002, pp. 204-214.

    15. 2001

  15. Aizenberg I., Aizenberg N., Hiltner J., Moraga C., Meyer zu Bexten E. “Cellular Neural Networks and Computational Intelligence in Medical Image Processing”, Journal of Image and Vision Computing (Elsevier), Vol. 19, Feb. 2001, pp. 177-183.
  16. Aizenberg I., Aizenberg N., Bregin T., “New nonlinear combined spatial-frequency domain filtering for noise reduction and image enhancement”, SPIE Proceedings, Vol. 4304, 2001, pp. 221-231.
  17. Aizenberg I., Butakoff C. “Neural network based on multi-valued neurons and its application to image recognition and blur recognition”, SPIE Proceedings, Vol. 4305, 2001, pp. 11-21.
  18. Aizenberg I., Myasnikova E. and Samsonova M. “Application of the Neural Networks Based on Multi-Valued Neurons to Classification of the Images of Gene Expression Patterns”, Bio-inspired Applications of Connectionism, Lecture Notes in Computer Sciences (J.Mira, A.Prieto – Eds.), Vol. 2085, Springer, 2001, pp. 219-226.
  19. Aizenberg I., Aizenberg N., Butakoff C. “Neural Network Based on Multi-Valued Neurons: Application in Image Recognition, Type of Blur and Blur Parameters Identification”, Bio-inspired Applications of Connectionism, Lecture Notes in Computer Science, (J. Mira, A. Prieto - Eds.), Vol.2085 Springer 2001, pp. 254-261.
  20. Aizenberg N., Aizenberg I., Stankovic M, Stankovic R., Astola J., and Egiazarian K. "Calculation of Golden Fibonacci Transforms", Proceedings of International TICSP Workshop on Spectral Methods and Multirate Signal Processing, SMMSP'2001 (T.Saramaki, K.Egiazarian, J.Astola - Eds.), TICSP Series #13, 2001, pp. 25-32.
  21. Aizenberg I., Myasnikova E., Samsonova M. and Reinitz J. “Application of the Neural Networks Based onMulti-Valued Neurons to Classification of the Images of Gene Expression Patterns”, Computational Intelligence: Theory and Applications, Lecture Notes in Computer Sciences (B.Reusch – Ed.), Vol. 2206, Springer, 2001, pp. 291-303.
  22. Aizenberg I. “Multi-Valued and Universal Binary Neurons: New Applications in Intelligent Image Processing”, Lecture Notes in Computer Science (B. Reusch – Ed.), Computational Intelligence: Theory and Applications, Lecture Notes in Computer Sciences (B.Reusch – Ed.), Vol. 2206, Springer, 2001, pp. 450-453.

    23. 2000

  23. Aizenberg I.N., Aizenberg N.N., Astola J., Bregin T., Butakov C., Egiazarian K. “New applications of the nonlinear cellular neural filters in image processing”, SPIE Proceedings, Vol. 3961, 2000, pp.45-56.
  24. Aizenberg I., Aizenberg N., Bregin T., Butakov C., Farberov E., Merzlyakov N., Milyukova O. “Blur Recognition on the Neural Network based on Multi-Valued Neurons”, Journal of Image and Graphics. Vol.5, 2000
    Tianjin, China, Proceedings of the First International Conference on Image and Graphics (ICIG’2000), Tianjin, China, August 16-18, 2000, pp.127-130.
  25. Aizenberg I., Aizenberg N., Butakov C., Farberov E. “Image Recognition on the Neural Network based on Multi-Valued Neurons”, Proceedings of the 15th International Conference on Pattern Recognition, Barcelona, Spain September 3-8, 2000, IEEE Computer Society Press , vol. 2. pp. 993-996.
  26. Aizenberg I., Aizenberg N., Bregin T., Butakov C., Farberov E. “Image Processing Using Cellular Neural Networks Based on Multi-Valued and Universal Binary Neurons”, Proceedings of IEEE 2000 International Workshop on Neural Networks for Signal Processing, Sydney, Australia, December 13-15, 2000, IEEE Computer Society Press, 2000, pp. 557-567.

    27. 1999

  27. Aizenberg I.N., Aizenberg N.N., Agaian S., Astola J., Egiazarian K. “Nonlinear cellular neural filtering for noise reduction and extraction of image details”, SPIE Proceedings, Vol. 3646, 1999, pp.100-111.
  28. Aizenberg I.N. “Neural networks based on multi-valued and universal binary neurons: theory, application to image processing and recognition”, Lecture Notes in Computer Sciense, vol. 1625 (B. Reusch - Ed.), Springer- Verlag, 1999, pp. 306-316.
  29. Aizenberg I.N., Aizenberg N.N. “Pattern recognition using neural network based on multi-valued neurons”, Lecture Notes in Computer Sciense, vol. 1607-II (J.Mira, J.V.Sanches-Andres - Eds.), Springer-Verlag, 1999, pp. 383- 392.
  30. Aizenberg I.N., Aizenberg N.N., Krivosheev G.A. “Multi-valued and universal binary neurons: learning algorithms, application to image processing and recognition”, Lecture Notes in Artificial Intelligence, vol. 1715 (P.Perner, M.Petrou - Eds.), Springer-Verlag, 1999, pp. 21-35.
  31. Aizenberg I.N., Aizenberg N.N., Bregin T.R., Butakoff C.V., Farberov E. “Application of the nonlinear cellular neural filters for noise reduction, extraction of image details, edge detection and solution of the super-resolution problem”, Proceedings of the 11th International Meeting on Electo-optics and Microelectronics in Israel, November 9-11, 1999 (R.Lavi, E.Azoulay – Eds.), Bristol/Philadelphia: Institute of Physics Publishing, 1999.

    32. 1998

  32. Aizenberg I.N. “Some image processing algorithms based on neural networks technology”, SPIE Proceedings, Vol. 3402, 1998, pp. 382-391.
  33. Aizenberg I.N., Aizenberg N.N. “Application of the neural networks based on multi-valued neurons in image processing and recognition”, SPIE Proceedings, Vol. 3307, 1998, pp. 88-97.
  34. Aizenberg I.N., Vandewalle J. “Multi-valued nonlinear filters, multi-valued neurons and their application to extrapolation of the orthogonal spectra”, Proceedings of the IEEE Benelux Signal Processing Symposium SPS-98, Leuven, Belgium, March, 1998, pp. 15-18.
  35. Aizenberg I.N., Aizenberg N.N., Astola J, Egiazarian K. “An introduction to algebraic theory of discrete signals”, Proceedings Of International Workshop on Transforms Filter Banks, Tampere, Finland TICSP Series #1, February, 1998, pp. 70–94.
  36. Aizenberg I.N., Aizenberg N.N., Astola J, Egiazarian K. "Binary polynomial transforms with applications in technical diagnostics and signal processing”, Proceedings Of International Workshop on Transforms Filter Banks, Tampere, Finland TICSP Series #1, February, 1998, pp. 197–225.
  37. Aizenberg I.N., Aizenberg N.N., Vandewalle J. “Solution of the super-resolution problem by multi-valued non-linear filtering and its implementation using cellular neural networks”, Proc. of the Fifth IEEE International Workshop on Cellular Neural Networks and their Applications, London, UK, April 14-17, 1998, pp. 353-358.
  38. Aizenberg I.N., Aizenberg N.N., Vandewalle J. “Precise edge detection: representation by Boolean functions, implementation on the CNN”, Proc. of the Fifth IEEE International Workshop on Cellular Neural Networks and their Applications, London, UK, April 14-17, 1998, pp. 301-306.
  39. Aizenberg I.N., Aizenberg N.N., Gotko E.S., Vandewalle J. “Ultrasound medical image processing using cellular neural networks”, Proc. of the 6th European Symposium on Artificial Neural Networks, Brugge, Belgium, April 22-24, 1998, D-facto publications, Brussels, 1998, pp. 315-320.
  40. Aizenberg I.N., Aizenberg N.N., Gotko E.S., Sochka V.A. “Medical image processing using neural networks based on multi-valued and universal binary neurons”, SPIE Proceedings, Vol. 3338, pp. 893-903, June 1998.
  41. Aizenberg I.N., Aizenberg N.N., Astola J, Egiazarian K. “On generalized discrete Fresnel Transforms”, Proceedings of IEEE Nordic Signal Processing Symposium (NORSIG-98), Vigso (Denmark), pp. 129-132, June, 1998.
  42. Aizenberg I.N., Aizenberg N.N., Astola J, Egiazarian K. “Cellular Neural filters based on universal binary neurons”, Proceedings of IEEE Nordic Signal Processing Symposium (NORSIG-98), Vigso (Denmark), pp. 141-144, June, 1998.
  43. Aizenberg I.N., Aizenberg N.N., Astola J, Egiazarian K. “Solution of the super-resolution problem through extrapolation of the orthogonal spectra using multi-valued technique”, Proceedings of the IX European Signal Processing Conference (EUSIPCO’98), Island of Rodhos, Greece, September, 1998. Vol. III “Theories and Applications”, pp. 1761-1764.
  44. Aizenberg I.N., Aizenberg N.N., Moraga C., Meyer zu Bexten E. “CNN algorithms for medical image processing”, Proceedings Sixth European Congress on Intelligent Techniques and Soft Computing EUFIT'98, Wissenschaftsverlag Aachen, ISBN 3-89653-187-5, September, 1998, pp. 1311-1315.
  45. Hiltner J., Aizenberg I., Meyer zu Bexten E., Moraga C. “Neural Networks and Fuzzy Logic in Medical Image Processing”, Proceedings Int. Conference on Neural Nets, Fuzzy Systems and Soft Computing, Iizuka, Japan, October, 1998 pp. 325-328.
  46. Aizenberg I.N., Aizenberg N.N., Oktem R., Egiazarian K., "Transform Domain Denoising Using Nonlinear Filtering and Cellular Neural Networks", Proceedings of the IEEE International Conference on image processing (ICIP'98), October 4-7 1998, Illinois, USA, Vol. II, pp. 862-866.

    47. 1997

  47. Aizenberg I.N.“Processing of noisy and small-detailed gray-scale images using cellular neural networks”, Journal of Electronic Imaging, vol. 6, No 3, July, 1997, pp. 272-285.
  48. Aizenberg,I.N., Aizenberg N.N. “Universal binary and multi-valued neurons paradigm: conception, learning, applications”, Lecture Notes in Computer Sciense, vol. 1240 (J.Mira,R.Moreno-Diaz, J.Cabestany - Eds.), Springer- Verlag, 1997, pp. 463-472.
  49. Aizenberg I.N. “Multi-valued non-linear filters and their implementation on cellular neural networks”, Frontiers in Artificial Intelligence and Applications, vol. 41 “Advances in Intelligent Systems” (F.C.Morabito - Ed.) IOS Press, Amsterdam-Berlin-Oxford-Tokyo-Washington DC, 1997, pp. 135-140.
  50. Aizenberg I.N., Vandewalle J. “Application of the neural networks from multi-valued neurons for solution of pattern recognition and non-linear filtering problems”, Proceedings of Int. Workshop “Digital metodologies and applications for multi-media and signal processing” (DMMS’97), Budapest, October, 27-28, 1997, Panem-Press, Budapest, pp. 27-36, 1997.
  51. Aizenberg I.N. “Some image processing algorithms, and their implementation on the neural networks”, Komputernaja Optika ("Computer Optics"), 1997, Vol. 17, pp. 134-142 (in Russian)

    52. 1996

  52. Aizenberg N.N., AizenbergI.N., Krivosheev G.A. "CNN based on Universal Binary Neurons: Learning algorithm with Error-Correction and Application to Impulsive-Noise Filtering on Gray-Scale Images”, Proc. of the Fourth International Workshop on Cellular Neural Networks and their Applications, Seville, Spain, June 24-26, 1996, IEEE 96TH8180, pp. 309-314.
  53. Aizenberg I.N. “Extraction of the Small Details on Noisy Images and their Sharpening: Implementation on the CNN”, Proc. of the Fourth International Workshop on Cellular Neural Networks and their Applications, Seville, Spain, June 24-26, 1996, IEEE 96TH8180, pp. 31-36.
  54. Aizenberg N.N., AizenbergI.N., Krivosheev G.A. “Multi-Valued and Universal Binary Neurons : Mathematical Model, Learning, Networks , Application to Image Processing and Pattern Recognition”, Proc. of the 13-th International Conference on Pattern Recognition, Vienna, Austria, August 25-30, 1996, track D, IEEE Computer Society Press, pp.185-189.
  55. Aizenberg N.N., Aizenberg I.N. “Application of the fast spectral transformations For search of the tests - Objects of the technical diagnostics” Proc. of the Int. Conf. “Noise and vibration in living and working environment” (Belgrade, Yugoslavia, 1996)

    56. 1995

  56. Aizenberg N.N., AizenbergI.N., Krivosheev G.A. "Multi-Valued Neurons: Learning, Networks, Application to Image Recognition and Extrapolation of Temporal Series", Lecture Notes in Computer Science, vol. 930 (J.Mira, F.Sandoval - Eds.), Springer-Verlag, 1995,pp.389-395.
  57. Aizenberg N.N., Aizenberg I.N., Krivosheev G.A. “Neural Networks Based on Multi-Valued Neurons: Learning and Application to Image Processing and Recognition”, Komputernaja Optika ("Computer Optics"), 1995, Vol. 14- 15, part 1, pp. 179-186 (in Russian)

    58. 1994

  58. Aizenberg N.N., Aizenberg I.N. "Neural Networks based on Universal and Multi-Valued Neurons and their application to solving of the some problems of Image Processing and Pattern Recognition", Proc. of the "COST 229" Int. Workshop on Adaptive Systems, Intelligent Approaches, Massively Parallel Computing and Emergent Techniques in Signal Processing and Communications", Bayona (Vigo), Oct. 1994, Publication of the University of Vigo and Politechnico de Madrid, pp. 223-228.
  59. Aizenberg N.N., Aizenberg I.N. "CNN-like Networks Based on Multi-Valued and Universal Binary Neurons: Learning and Application to Image Processing",Proc. of the Third IEEE International Workshop on Cellular Neural Networks and their Applications, Rome, Italy, December 18-21, 1994, IEEE 94TH0693-2, pp. 153-158.
  60. Aizenberg N.N., Aizenberg I.N., Belikova T.P. "Extraction and Localization of Important Features on Gray-Scale Images: Implementation on the CNN", Proc. of the Third IEEE International Workshop on Cellular Neural Networks and their Applications, Rome, Italy, December 18-21, 1994, IEEE 94TH0693-2, pp. 207-212.

    61. 1993

  61. Aizenberg N.N., Aizenberg I.N., Pyshnyi M.Ph. "Multi-valued and Universal Basic Elements for CNN: Mathematical Model and Hardware Implementation", Proc. of the 3-d International Conference "Microelectronics for Neural Networks", Edinburgh, UK, April, 1993, pp. 91-96.
  62. Aizenberg N.N., Aizenberg I.N."Fast Convergenced Learning Algorithms for Multi-Level and Universal Binary Neurons and Solving of the some image processing problems", Lecture Notes in Computer Science, (J.Mira, J.Cabestany, A.Prieto, Eds.) vol. 686, Springer-Verlag, 1993, pp. 230-236.

    63. 1992

  63. Aizenberg N.N., Aizenberg I.N."CNN Based on Multi-Valued Neuron as a Model of Associative Memory for Gray-Scale Images", Proceedings of the Second IEEE International Workshop on Cellular Neural Networks and their Applications, Technical University Munich, Germany October 14-16, 1992, IEEE 92TH0498-6, ISBN 0-7803-875-1, pp.36-41.

    64. 1991

  64. Aizenberg N.N., Aizenberg I.N."Model of the Neural Network Basic Elemets (Cells) with Universal Functionality and various of Harware Implementation", Proc. of the 2-nd International Conference "Microelectronics for Neural Networks", Kyrill & Methody Verlag, Munich, 1991, pp. 77-83.
  65. Aizenberg I.N."The Universal Logical Element over the Complex Numbers Field", Kibernetika (Cybernetics), 1991, No.3, pp.116-121 (in Russian, journal is translated into English by Plenum Publisher, New York).
  66. Aizenberg I.N., Yaroslavsky L.P. "Two-stage Transformational Method for Image Coding", Komputernaja Optika ("Computer Optics"), 1991, Vol. 9, pp. 48-56 (in Russian)

    67. 1990

  67. Aizenberg N.N., Aizenberg I.N."The Universal Neural-like Logical Elements in Pattern Recognition and Digital Image Processing", Proc.of the 1-st Int. Conf. on Information Technologues for Image Analysis and Pattern Recognition, Lvov, 1990, vol.2, pp. 141-145.

    68. 1989

  68. Aizenberg I.N., Yaroslavsky L.P."Implementation of the Two-stage Method of Digital Picture Coding by One-Dimensional Cosine Transform", Proc. of the Int. Conf. on Image Processing and Pattern Recognition, London, IEE, 1989.

    69. 1984-1988

  69. Aizenberg I.N."About one approach to Binary Signals Coding over Finite Fields", Kibernetika ("Cybernetics"), 1984, No. 5, pp. 118-119 (in Russian);
  70. Aizenberg I.N."Model of the Element with Complete Functionality", Izvestia AN SSSR. Technicheskaya Kibernetika ("The News of the USSR Academy of Sciences. Technical Cybernetics"), 1985, No. 2., pp. 188-191 (in Russian);
  71. Aizenberg I.N. "Some Problems of the Theory of Descrete Signals Related to the Notion of Fresnel Function", "Pribori i Metody Avtomatizacii Experimentalnih Issledovanii" ( "Devices and Methods for Automatization of Experimental Researches"), Dnepropetrovsk, Publisher House of the Dnepropetrovsk State University, 1986, pp.106-109 (in Russian)
  72. Aizenberg I.N. "Parametric Representation of the Boolean Functions in the Digital Signal Processing", Ph.D. thesis, Moscow, Computing Center of the USSR Academy of Ssciences, 1986.

PATENTS

  1. Aizenberg N.N., Aizenberg I.N., Gavrikov V.A., Pilugin S.V., Junickii G.S. “Logical element” Patent of the USSR No 1343550, H 03 K 19/23, priority date 2.07.1985.
  2. Aizenberg N.N., Aizenberg I.N., "Method of Information Encryption" Patent of Malta, Form E Warrant No. 1082, G 06 F 17/10, priority date 15.10.1991.
  3. Aizenberg N.N., Aizenberg I.N.,"Three-input universal neural element" Patent of Malta, Form E Warrant No. 1083, H 03 K 19/23, priority date 24.04.1992.
  4. Aizenberg N.N., Aizenberg I.N., Krivosheev G.A. “Method of Information Processing” Patent of Russia No ¹ 2103737, G 06 K 9/00, G 06 F 17/10, priority date 23.12.1994.
Back

Last Updated
Wed, March 12, 2003 22:26