000 04254nam a22005055i 4500
001 978-3-319-12523-7
003 DE-He213
005 20200421112224.0
007 cr nn 008mamaa
008 141115s2015 gw | s |||| 0|eng d
020 _a9783319125237
_9978-3-319-12523-7
024 7 _a10.1007/978-3-319-12523-7
_2doi
050 4 _aQ350-390
050 4 _aQA10.4
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
100 1 _aAhlswede, Rudolf.
_eauthor.
245 1 0 _aTransmitting and Gaining Data
_h[electronic resource] :
_bRudolf Ahlswede's Lectures on Information Theory 2 /
_cby Rudolf Ahlswede ; edited by Alexander Ahlswede, Ingo Alth�ofer, Christian Deppe, Ulrich Tamm.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXVII, 461 p. 4 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFoundations in Signal Processing, Communications and Networking,
_x1863-8538 ;
_v11
505 0 _aWords and Introduction of the Editors -- Preface -- I.Transmitting Data -- 1.Special Channels -- 2.Algorithms for Computing Channel Capacities and Rate-distortion Functions -- 3.Shannon's Model for Continuous Transmission -- 4.On Sliding-Block Codes -- 5.On (Sn(B-Capacities and Information Stability -- 6.Channels with Infinite Alphabets -- II.Gaining Data -- 7.Selected Topics of Information Theory and Mathematical Statistics -- 8.(Sb(B-Biased Estimators in Data Compression -- III.Supplement -- Rudolf Ahlswede 1938-2010 -- Comments by Gerhard Kramer -- List of Notations -- Index -- Name Index.
520 _aThe calculation of channel capacities was one of Rudolf Ahlswede's specialties and is the main topic of this second volume of his Lectures on Information Theory. Here we find a detailed account of some very classical material from the early days of Information Theory, including developments from the USA, Russia, Hungary and which Ahlswede was probably in a unique position to describe the German school centered around his supervisor Konrad Jacobs. These lectures made an approach to a rigorous justification of the foundations of Information Theory. This is the second of several volumes documenting Rudolf Ahlswede's lectures on Information Theory. Each volume includes comments from an invited well-known expert. In the supplement to the present volume, Gerhard Kramer contributes his insights. Classical information processing concerns the main tasks of gaining knowledge and the storage, transmission and hiding of data. The first task is the prime goal of Statistics. For transmission and hiding of data, Shannon developed an impressive mathematical theory called Information Theory, which he based on probabilistic models. The theory largely involves the concept of codes with small error probabilities in spite of noise in the transmission, which is modeled by channels. The lectures presented in this work are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used as the basis for courses or to supplement courses in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs.
650 0 _aMathematics.
650 0 _aInformation theory.
650 1 4 _aMathematics.
650 2 4 _aInformation and Communication, Circuits.
700 1 _aAhlswede, Alexander.
_eeditor.
700 1 _aAlth�ofer, Ingo.
_eeditor.
700 1 _aDeppe, Christian.
_eeditor.
700 1 _aTamm, Ulrich.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319125220
830 0 _aFoundations in Signal Processing, Communications and Networking,
_x1863-8538 ;
_v11
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-12523-7
912 _aZDB-2-ENG
942 _cEBK
999 _c57558
_d57558