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PREFACE The increasing demand on high data rate and quality of service in wireless communication has to cope with limited bandwidth and energy resources. More than 50 years ago, Shannon has paved the way to optimal usage of bandwidth and energy resources by bounding the spectral efficiency vs. signal to noise ratio trade-off. However, as any information theorist, Shannon told us what is the best we can do but not how to do it . In this view, turbo codes are like a dream come true: they allow approaching the theoretical Shannon capacity limit very closely. However, for the designer who wants to implement these codes, at first sight they appear to be a nightmare. We came a huge step closer in striving the theoretical limit, but see the historical axiom repeated on a different scale: we know we can achieve excellent performance with turbo codes, but not how to realize this in real devices.More Offers Of Store ››
This book explains the philosophy of the polar encoding and decoding technique. Polar codes are one of the most recently discovered capacity-achieving channel codes. What sets them apart from other channel codes is the fact that polar codes are designed mathematically and their performance is mathematically proven. The book develops related fundamental concepts from information theory, such as entropy, mutual information, and channel capacity. It then explains the successive cancellation decoding logic and provides the necessary formulas, moving on to demonstrate the successive cancellation decoding operation with a tree structure. It also demonstrates the calculation of split channel capacities when polar codes are employed for binary erasure channels, and explains the mathematical formulation of successive cancellation decoding for polar codes. In closing, the book presents and proves the channel polarization theorem, before mathematically analyzing the performance of polar codes.More Offers Of Store ››
Ende des 18. Jahrhunderts wird mit der Entdeckung Des Menschen zugleich auch Der Mensch als Medium von Natur und Kultur installiert. Die neue Menschmaschine, um Medium von Natur sein zu kÃ¶nnen, erfÃ¤hrt ihre Ausdifferenzierung nach zwei Seiten hin: Physiologie und Semiotik werden die neuen Grundlagen ihrer Bestimmung. An die Stelle der mechanistischen Metaphern vom RÃ¤der- und Uhrwerk der Maschine Mensch treten beim Medium Mensch nachrichtentechnische Kategorien der Telekommunikation. Mit der Mediatisierung Des Menschen geht nÃ¤mlich seine nachrichtentechnische Beschreibung einher, was zur Folge hat, daÃ sein Artikulieren nicht mehr allein auf Lautsprache begrenzt begriffen wird, sondern auch die Beredsamkeit des Leibes Zeichenfunktion erhÃ¤lt. Die in dem Band versammelten Studien untersuchen zentrale Etappen dieser diskursiven Neuformierung Des Menschen auf Grundlage von Nachrichtentechnik und Semiotik, die als blinder Fleck der geistes- und naturwissenschaftlichen Theoriebildung des 19. und 20. Jahrhunderts zugrundeliegt.More Offers Of Store ››
How can one exchange information e?ectively when the medium of com- nication introduces errors? This question has been investigated extensively starting with the seminal works of Shannon (1948) and Hamming (1950), and has led to the rich theory of âerror-correcting codesâ. This theory has traditionally gone hand in hand with the algorithmic theory of âdecodingâ that tackles the problem of recovering from the errors e?ciently. This thesis presents some spectacular new results in the area of decoding algorithms for error-correctingcodes. Speci?cally,itshowshowthenotionofâlist-decodingâ can be applied to recover from far more errors, for a wide variety of err- correcting codes, than achievable before. A brief bit of background: error-correcting codes are combinatorial str- tures that show how to represent (or âencodeâ) information so that it is - silient to a moderate number of errors. Speci?cally, an error-correcting code takes a short binary string, called the message, and shows how to transform it into a longer binary string, called the codeword, so that if a small number of bits of the codewordare ?ipped, the resulting string does not look like any other codeword. The maximum number of errorsthat the code is guaranteed to detect, denoted d, is a central parameter in its design. A basic property of such a code is that if the number of errors that occur is known to be smaller than d/2, the message is determined uniquely. This poses a computational problem,calledthedecodingproblem:computethemessagefromacorrupted codeword, when the number of errors is less than d/2.More Offers Of Store ››
................................................................. The performance of a nonlinear programming algorithm can only be ascertained by numerical experiments requiring the collection and implementation of test examples in dependence upon the desired performance criterium. This book should be considered as an assisÂ tance for a test designer since it presents an extensive collecÂ tion of nonlinear programming problems which have been used in the past to test or compare optimization programs. He will be inÂ formed about the optimal solution, about the structure of the problem in the neighbourhood of the solution, and, in addition, about the usage of the corresp,onding FORTRAN subroutines if he is interested in obtaining them -ofi a magnetic tape. Chapter I shows how the test examples are documented. In parÂ ticular, the evaluation of computable information about the soluÂ tion of a problem is outlined. It is explained how the optimal solution, the optimal Lagrange-multipliers, and the condition number of the projected Hessian of the Lagrangian are obtained. Furthermore, a classification number is defined allowing a formal description of a test problem, and the documentation scheme is described which is used in Chapter IV to present the problems.More Offers Of Store ››
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