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  • 1.
    Gustafsson, Oscar
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Electronics System.
    Olofsson, Mikael
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
    Complexity reduction of constant matrix computations over the binary field2007In: International Workshop on the Arithmetic of Finite Fields,2007, Heidelberg: Springer , 2007, p. 103-Conference paper (Refereed)
  • 2.
    Olofsson, Mikael
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
    Additional Concepts in Signal Theory2008Other (Other (popular science, discussion, etc.))
  • 3.
    Olofsson, Mikael
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
    Basic Telecommunication - Problems2003Other (Other (popular science, discussion, etc.))
  • 4.
    Olofsson, Mikael
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
    Demodulation av digitalt modulerade signaler2007Other (Other (popular science, discussion, etc.))
  • 5.
    Olofsson, Mikael
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
    On Matrix Representations of Finite Extension Fields1995In: Seventh Joint Swedish-Russian International Workshop on Information Theory,1995, Moscow, Russia: Institute for Information Transmission Problems RAS , 1995, p. 185-Conference paper (Refereed)
    Abstract [en]

    We define a matrix representation of elements in finite extension fields and determine under what circumstances we can find regularities in these matrices. Especially, we determine all cases for which the matrices are Hankel. This is of special interest for the design of algorithms for inversion in finite extension fields.

  • 6.
    Olofsson, Mikael
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
    Rekonstruktion i CD-spelare - tre generationer2002Other (Other (popular science, discussion, etc.))
  • 7.
    Olofsson, Mikael
    Linköping University, Department of Electrical Engineering, Communication Systems. Linköping University, Faculty of Science & Engineering.
    Signal theory2011 (ed. 1)Book (Other academic)
    Abstract [en]

    Signal theory provides a mathematical toolbox for modeling and analysis of physical systems. Stochastic processes are used to model more or less unknown signals. Signal theory has applications in communication engineering, signal processing, automatic control, medical engineering, and more.

    This book starts off by reviewing the needed background from probability theory and signals & systems. Then stochastic processes are introduced, both in discrete and continuous time, together with the important tools auto-correlation function and power-spectral density. Separate chapters focus on analyzing linear filters, sampling & reconstruction, some nonlinearities and modulation in terms of stochastic processes. The modulation chapter includes noise analyses of the considered modulation methods assuming that thermal noise dominates the picture. A separate chapter briefly covers multi-dimensional signals and systems as a preparation for image processing. A chapter on spectral estimation is included, which could be used as a basis for computer-based laborations. Problems are given at the end of each chapter. Hints and answers to most of those problems are provided in appendices.

    The book is suitable for an advanced course on engineering aspects of stochastic processes. It is written with an electrical engineering student in mind, but should be useful in other engineering disciplines as well. We do not dwell on the innermost details of stochastic processes. Instead we focus on the ability to deal with stochastic processes in situations that could very well be models of real-world problems. This book provides tools and understanding that can be used as a preparation for in-depth studies of subjects such as communication engineering, image and signal processing or analysis, and automatic control, just to mention a few.

    This book is intended for engineering students with a background in probability theory on one hand and signals and systems on the other hand. No prior knowledge of stochastic processes is assumed.

  • 8.
    Olofsson, Mikael
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
    Tables and Formulas for Signal Theory2008Other (Other (popular science, discussion, etc.))
  • 9.
    Olofsson, Mikael
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
    Telecommunication Methods - Problems2004Other (Other (popular science, discussion, etc.))
  • 10.
    Olofsson, Mikael
    Linköping University, Department of Electrical Engineering. Linköping University, The Institute of Technology.
    VLSI aspects on inversion in finite fields2002Doctoral thesis, monograph (Other academic)
    Abstract [en]

    Different algorithms and architectures for inversion in finite extension fields are studied. The investigation is restricted to fields of characteristic two. Based on a simple transistor model, various architectures are compared with respect to delay, area requirement, and energy consumption.

    Both polynomial and normal basis representations are considered. A special investigation is made on representations of fields as tower fields. New architectures are presented and compared with previously known architectures. For tower fields, a thorough investigation is made for the case where the extension degree is a power of two. In that case the investigation is based on a classification of all possible bases of the field over its largest subfield.

    It is noted that normal bases, generated by irreducible all-one polynomials, are closely related to the polynomial bases which are generated by the same polynomials. Based on this observation, it is shown how architectures considered for polynomial basis representation can be modified for use with corresponding normal bases.

    A list of minimum weight irreducible polynomials over F2 is also given.

  • 11.
    Olofsson, Mikael
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
    VLSI-implementering av en generell exponentierare över stora galoiskroppar1992Other (Other (popular science, discussion, etc.))
    Abstract [sv]

    An important operation in certain cryptosystems is exponentiation in large galois fields, which can be achieved by multiplication and squaring. This report deals first with the theory of Galois fields, and then with a number of architectures for multiplication, squaring and exponentiation in Galois fields. Various bases for Galois fields yield architectures with different degrees of regularity. Since the polynomial basis yields the best known architectures as far as performance, complexity and structure are concerned, we discuss solely this basis. We also present a VLSI implementation of a universal exponentiator over GF(2^m), m<337, which we use to study expected performance, complexity, chip size and power consumption as a function of m for an arbitrary exponentiator. An important conclusion is that the performance is not limited by the critical paath, but by the distribution of signals needed all over the chip. We also arrived at the conclusion that it is perfectly possible today to expand the exponentiator to m<1001.

  • 12.
    Olofsson, Mikael
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
    Ericson, Thomas
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
    Forchheimer, Robert
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Image Coding.
    Telecommunication Methods2007Other (Other (popular science, discussion, etc.))
  • 13.
    Olofsson, Mikael
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
    Ericson, Thomas
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
    Forchheimer, Robert
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Image Coding.
    Henriksson, Ulf
    Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
    Basic Telecommunication2006Other (Other (popular science, discussion, etc.))
1 - 13 of 13
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