Principles of Digital Communication – Robert G. Gallager
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Digital Communication Systems 2.2 Optimal Source Coding
Digital Communication Systems EES 452 Asst. Prof. Dr. Prapun Suksompong [email protected] 2. Source Coding 2.2 Optimal Source Coding: Huffman Coding: Origin, Recipe, MATLAB Implementation 1 Examples of Prefix Codes Nonsingular Fixed-Length Code Shannon–Fano code Huffman Code 2 Prof. Robert Fano (1917-2016) Shannon Award (1976 ) Shannon–Fano Code Proposed in Shannon’s “A Mathematical Theory of Communication” in 1948 The method was attributed to Fano, who later published it as a technical report. Fano, R.M. (1949). “The transmission of information”. Technical Report No. 65. Cambridge (Mass.), USA: Research Laboratory of Electronics at MIT. Should not be confused with Shannon coding, the coding method used to prove Shannon's noiseless coding theorem, or with Shannon–Fano–Elias coding (also known as Elias coding), the precursor to arithmetic coding. 3 Claude E. Shannon Award Claude E. Shannon (1972) Elwyn R. Berlekamp (1993) Sergio Verdu (2007) David S. Slepian (1974) Aaron D. Wyner (1994) Robert M. Gray (2008) Robert M. Fano (1976) G. David Forney, Jr. (1995) Jorma Rissanen (2009) Peter Elias (1977) Imre Csiszár (1996) Te Sun Han (2010) Mark S. Pinsker (1978) Jacob Ziv (1997) Shlomo Shamai (Shitz) (2011) Jacob Wolfowitz (1979) Neil J. A. Sloane (1998) Abbas El Gamal (2012) W. Wesley Peterson (1981) Tadao Kasami (1999) Katalin Marton (2013) Irving S. Reed (1982) Thomas Kailath (2000) János Körner (2014) Robert G. Gallager (1983) Jack KeilWolf (2001) Arthur Robert Calderbank (2015) Solomon W. Golomb (1985) Toby Berger (2002) Alexander S. Holevo (2016) William L. Root (1986) Lloyd R. Welch (2003) David Tse (2017) James L. -
Principles of Communications ECS 332
Principles of Communications ECS 332 Asst. Prof. Dr. Prapun Suksompong (ผศ.ดร.ประพันธ ์ สขสมปองุ ) [email protected] 1. Intro to Communication Systems Office Hours: Check Google Calendar on the course website. Dr.Prapun’s Office: 6th floor of Sirindhralai building, 1 BKD 2 Remark 1 If the downloaded file crashed your device/browser, try another one posted on the course website: 3 Remark 2 There is also three more sections from the Appendices of the lecture notes: 4 Shannon's insight 5 “The fundamental problem of communication is that of reproducing at one point either exactly or approximately a message selected at another point.” Shannon, Claude. A Mathematical Theory Of Communication. (1948) 6 Shannon: Father of the Info. Age Documentary Co-produced by the Jacobs School, UCSD- TV, and the California Institute for Telecommunic ations and Information Technology 7 [http://www.uctv.tv/shows/Claude-Shannon-Father-of-the-Information-Age-6090] [http://www.youtube.com/watch?v=z2Whj_nL-x8] C. E. Shannon (1916-2001) Hello. I'm Claude Shannon a mathematician here at the Bell Telephone laboratories He didn't create the compact disc, the fax machine, digital wireless telephones Or mp3 files, but in 1948 Claude Shannon paved the way for all of them with the Basic theory underlying digital communications and storage he called it 8 information theory. C. E. Shannon (1916-2001) 9 https://www.youtube.com/watch?v=47ag2sXRDeU C. E. Shannon (1916-2001) One of the most influential minds of the 20th century yet when he died on February 24, 2001, Shannon was virtually unknown to the public at large 10 C. -
4 Classical Error Correcting Codes
“Machines should work. People should think.” Richard Hamming. 4 Classical Error Correcting Codes Coding theory is an application of information theory critical for reliable communication and fault-tolerant information storage and processing; indeed, Shannon channel coding theorem tells us that we can transmit information on a noisy channel with an arbitrarily low probability of error. A code is designed based on a well-defined set of specifications and protects the information only for the type and number of errors prescribed in its design. Agoodcode: (i) Adds a minimum amount of redundancy to the original message. (ii) Efficient encoding and decoding schemes for the code exist; this means that information is easily mapped to and extracted from a codeword. Reliable communication and fault-tolerant computing are intimately related to each other; the concept of a communication channel, an abstraction for a physical system used to transmit information from one place to another and/or from one time to another is at the core of communication, as well as, information storage and processing. It should however be clear 355 Basic Concepts Linear Codes Polynomial Codes Basic Concepts Linear Codes Other Codes Figure 96: The organization of Chapter 4 at a glance. that the existence of error-correcting codes does not guarantee that logic operations can be implemented using noisy gates and circuits. The strategies to build reliable computing systems using unreliable components are based on John von Neumann’s studies of error detection and error correction techniques for information storage and processing. This chapter covers topics from the theory of classical error detection and error correction and introduces concepts useful for understanding quantum error correction, the subject of Chapter 5. -
Vector Quantization and Signal Compression the Kluwer International Series in Engineering and Computer Science
VECTOR QUANTIZATION AND SIGNAL COMPRESSION THE KLUWER INTERNATIONAL SERIES IN ENGINEERING AND COMPUTER SCIENCE COMMUNICATIONS AND INFORMATION THEORY Consulting Editor: Robert Gallager Other books in the series: Digital Communication. Edward A. Lee, David G. Messerschmitt ISBN: 0-89838-274-2 An Introduction to Cryptolog)'. Henk c.A. van Tilborg ISBN: 0-89838-271-8 Finite Fields for Computer Scientists and Engineers. Robert J. McEliece ISBN: 0-89838-191-6 An Introduction to Error Correcting Codes With Applications. Scott A. Vanstone and Paul C. van Oorschot ISBN: 0-7923-9017-2 Source Coding Theory.. Robert M. Gray ISBN: 0-7923-9048-2 Switching and TraffIC Theory for Integrated BroadbandNetworks. Joseph Y. Hui ISBN: 0-7923-9061-X Advances in Speech Coding, Bishnu Atal, Vladimir Cuperman and Allen Gersho ISBN: 0-7923-9091-1 Coding: An Algorithmic Approach, John B. Anderson and Seshadri Mohan ISBN: 0-7923-9210-8 Third Generation Wireless Information Networks, edited by Sanjiv Nanda and David J. Goodman ISBN: 0-7923-9128-3 VECTOR QUANTIZATION AND SIGNAL COMPRESSION by Allen Gersho University of California, Santa Barbara Robert M. Gray Stanford University ..... SPRINGER SCIENCE+BUSINESS" MEDIA, LLC Library of Congress Cataloging-in-Publication Data Gersho, A1len. Vector quantization and signal compression / by Allen Gersho, Robert M. Gray. p. cm. -- (K1uwer international series in engineering and computer science ; SECS 159) Includes bibliographical references and index. ISBN 978-1-4613-6612-6 ISBN 978-1-4615-3626-0 (eBook) DOI 10.1007/978-1-4615-3626-0 1. Signal processing--Digital techniques. 2. Data compression (Telecommunication) 3. Coding theory. 1. Gray, Robert M., 1943- . -
Andrew Viterbi
Andrew Viterbi Interview conducted by Joel West, PhD December 15, 2006 Interview conducted by Joel West, PhD on December 15, 2006 Andrew Viterbi Dr. Andrew J. Viterbi, Ph.D. serves as President of the Viterbi Group LLC and Co- founded it in 2000. Dr. Viterbi co-founded Continuous Computing Corp. and served as its Chief Technology Officer from July 1985 to July 1996. From July 1983 to April 1985, he served as the Senior Vice President and Chief Scientist of M/A-COM Inc. In July 1985, he co-founded QUALCOMM Inc., where Dr. Viterbi served as the Vice Chairman until 2000 and as the Chief Technical Officer until 1996. Under his leadership, QUALCOMM received international recognition for innovative technology in the areas of digital wireless communication systems and products based on Code Division Multiple Access (CDMA) technologies. From October 1968 to April 1985, he held various Executive positions at LINKABIT (M/A-COM LINKABIT after August 1980) and served as the President of the M/A-COM LINKABIT. In 1968, Dr. Viterbi Co-founded LINKABIT Corp., where he served as an Executive Vice President and later as the President in the early 1980's. Dr. Viterbi served as an Advisor at Avalon Ventures. He served as the Vice-Chairman of Continuous Computing Corp. since July 1985. During most of his period of service with LINKABIT, Dr. Viterbi served as the Vice-Chairman and a Director. He has been a Director of Link_A_Media Devices Corporation since August 2010. He serves as a Director of Continuous Computing Corp., Motorola Mobility Holdings, Inc., QUALCOMM Flarion Technologies, Inc., The International Engineering Consortium and Samsung Semiconductor Israel R&D Center Ltd. -
Information Theory and Statistics: a Tutorial
Foundations and Trends™ in Communications and Information Theory Volume 1 Issue 4, 2004 Editorial Board Editor-in-Chief: Sergio Verdú Department of Electrical Engineering Princeton University Princeton, New Jersey 08544, USA [email protected] Editors Venkat Anantharam (Berkeley) Amos Lapidoth (ETH Zurich) Ezio Biglieri (Torino) Bob McEliece (Caltech) Giuseppe Caire (Eurecom) Neri Merhav (Technion) Roger Cheng (Hong Kong) David Neuhoff (Michigan) K.C. Chen (Taipei) Alon Orlitsky (San Diego) Daniel Costello (NotreDame) Vincent Poor (Princeton) Thomas Cover (Stanford) Kannan Ramchandran (Berkeley) Anthony Ephremides (Maryland) Bixio Rimoldi (EPFL) Andrea Goldsmith (Stanford) Shlomo Shamai (Technion) Dave Forney (MIT) Amin Shokrollahi (EPFL) Georgios Giannakis (Minnesota) Gadiel Seroussi (HP-Palo Alto) Joachim Hagenauer (Munich) Wojciech Szpankowski (Purdue) Te Sun Han (Tokyo) Vahid Tarokh (Harvard) Babak Hassibi (Caltech) David Tse (Berkeley) Michael Honig (Northwestern) Ruediger Urbanke (EPFL) Johannes Huber (Erlangen) Steve Wicker (GeorgiaTech) Hideki Imai (Tokyo) Raymond Yeung (Hong Kong) Rodney Kennedy (Canberra) Bin Yu (Berkeley) Sanjeev Kulkarni (Princeton) Editorial Scope Foundations and Trends™ in Communications and Information Theory will publish survey and tutorial articles in the following topics: • Coded modulation • Multiuser detection • Coding theory and practice • Multiuser information theory • Communication complexity • Optical communication channels • Communication system design • Pattern recognition and learning • Cryptology -
IEEE Information Theory Society Newsletter
IEEE Information Theory Society Newsletter Vol. 63, No. 3, September 2013 Editor: Tara Javidi ISSN 1059-2362 Editorial committee: Ioannis Kontoyiannis, Giuseppe Caire, Meir Feder, Tracey Ho, Joerg Kliewer, Anand Sarwate, Andy Singer, and Sergio Verdú Annual Awards Announced The main annual awards of the • 2013 IEEE Jack Keil Wolf ISIT IEEE Information Theory Society Student Paper Awards were were announced at the 2013 ISIT selected and announced at in Istanbul this summer. the banquet of the Istanbul • The 2014 Claude E. Shannon Symposium. The winners were Award goes to János Körner. the following: He will give the Shannon Lecture at the 2014 ISIT in 1) Mohammad H. Yassaee, for Hawaii. the paper “A Technique for Deriving One-Shot Achiev - • The 2013 Claude E. Shannon ability Results in Network Award was given to Katalin János Körner Daniel Costello Information Theory”, co- Marton in Istanbul. Katalin authored with Mohammad presented her Shannon R. Aref and Amin A. Gohari Lecture on the Wednesday of the Symposium. If you wish to see her slides again or were unable to attend, a copy of 2) Mansoor I. Yousefi, for the paper “Integrable the slides have been posted on our Society website. Communication Channels and the Nonlinear Fourier Transform”, co-authored with Frank. R. Kschischang • The 2013 Aaron D. Wyner Distinguished Service Award goes to Daniel J. Costello. • Several members of our community became IEEE Fellows or received IEEE Medals, please see our web- • The 2013 IT Society Paper Award was given to Shrinivas site for more information: www.itsoc.org/honors Kudekar, Tom Richardson, and Rüdiger Urbanke for their paper “Threshold Saturation via Spatial Coupling: The Claude E. -
Ieee Information Theory Society
IEEE INFORMATION THEORY SOCIETY The Information Theory Society is an organization, within the framework of the IEEE, of members with principal professional interests in information theory. All members of the IEEE are eligible for membership in the Society and will receive this TRANSACTIONS upon payment of the annual Society membership fee of $30.00. For information on joining, write to the IEEE at the address below. Member copies of Transactions/Journals are for personal use only. BOARD OF GOVERNORS President Secretary Treasurer Transactions Editor Conference Committee Chair GIUSEPPE CAIRE NATASHA DEVROYE NIHAR JINDAL HELMUT BÖLCSKEI BRUCE HAJEK EE Dept. Dept. ECE Dept. Elec. Eng. Comp. Sci. Dept. IT & EE Dept. EECS and Univ. of Southern California Univ. of Illinois Univ. of Minnesota ETH Zurich Coordinated Science Lab. Los Angeles, CA 90089 USA Chicago, IL 60607 USA Minneapolis, MN 55455 USA Zurich, Switzerland Univ. of Illinois Urbana, IL 61801 USA First Vice President Second Vice President Junior Past President Senior Past President MURIEL MÉDARD GERHARD KRAMER FRANK R. KSCHISCHANG ANDREA J. GOLDSMITH HELMUT BÖLCSKEI (2011) ALEX GRANT (2011) MURIEL MÉDARD (2012) EMINA SOLJANIN (2011) MARTIN BOSSERT (2012) ROLF JOHANNESSON (2012) PRAKASH NARAYAN (2012) DAVID TSE (2013) MAX H. M. COSTA (2012) GERHARD KRAMER (2011) L. PING (2012) ALEXANDER VARDY (2013) MICHELLE EFFROS (2013) J. NICHOLAS LANEMAN (2013) AMIN SHOKROLLAHI (2013) SERGIO VERDÚ (2011) ABBAS EL GAMAL (2011) HANS-ANDREA LOELIGER (2012) PAUL SIEGEL (2011) EMANUELE VITERBO (2013) IEEE TRANSACTIONS ON INFORMATION THEORY HELMUT BÖLCSKEI, Editor-in-Chief Executive Editorial Board G. DAVID FORNEY,JR.SHLOMO SHAMAI (SHITZ)ALEXANDER VARDY SERGIO VERDÚ CYRIL MÉASSON, Publications Editor PREDRAG SPASOJEVIc´, Publications Editor ERDAL ARIKAN ELZA ERKIP NAVIN KASHYAP DANIEL P. -
2010 Roster (V: Indicates Voting Member of Bog)
IEEE Information Theory Society 2010 Roster (v: indicates voting member of BoG) Officers Frank Kschischang President v Giuseppe Caire First Vice President v Muriel M´edard Second Vice President v Aria Nosratinia Secretary v Nihar Jindal Treasurer v Andrea Goldsmith Junior Past President v Dave Forney Senior Past President v Governors Until End of Alexander Barg 2010 v Dan Costello 2010 v Michelle Effros 2010 v Amin Shokrollahi 2010 v Ken Zeger 2010 v Helmut B¨olcskei 2011 v Abbas El Gamal 2011 v Alex Grant 2011 v Gerhard Kramer 2011 v Paul Siegel 2011 v Emina Soljanin 2011 v Sergio Verd´u 2011 v Martin Bossert 2012 v Max Costa 2012 v Rolf Johannesson 2012 v Ping Li 2012 v Hans-Andrea Loeliger 2012 v Prakash Narayan 2012 v Other Voting Members of BoG Ezio Biglieri IT Transactions Editor-in-Chief v Bruce Hajek Chair, Conference Committee v total number of voting members: 27 quorum: 14 1 Standing Committees Awards Giuseppe Caire Chair, ex officio 1st VP Muriel M´edard ex officio 2nd VP Alexander Barg new Max Costa new Elza Erkip new Ping Li new Andi Loeliger new Ueli Maurer continuing En-hui Yang continuing Hirosuke Yamamoto new Ram Zamir continuing Aaron D. Wyner Award Selection Frank Kschischang Chair, ex officio President Giuseppe Caire ex officio 1st VP Andrea Goldsmith ex officio Junior PP Dick Blahut new Jack Wolf new Claude E. Shannon Award Selection Frank Kschischang Chair, ex officio President Giuseppe Caire ex officio 1st VP Muriel M´edard ex officio 2nd VP Imre Csisz`ar continuing Bob Gray continuing Abbas El Gamal new Bob Gallager new Conference -
Reflections on Compressed Sensing, by E
itNL1208.qxd 11/26/08 9:09 AM Page 1 IEEE Information Theory Society Newsletter Vol. 58, No. 4, December 2008 Editor: Daniela Tuninetti ISSN 1059-2362 Source Coding and Simulation XXIX Shannon Lecture, presented at the 2008 IEEE International Symposium on Information Theory, Toronto Canada Robert M. Gray Prologue Source coding/compression/quantization A unique aspect of the Shannon Lecture is the daunting fact that the lecturer has a year to prepare for (obsess over?) a single lec- source reproduction ture. The experience begins with the comfort of a seemingly infi- { } - bits- - Xn encoder decoder {Xˆn} nite time horizon and ends with a relativity-like speedup of time as the date approaches. I early on adopted a few guidelines: I had (1) a great excuse to review my more than four decades of Simulation/synthesis/fake process information theoretic activity and historical threads extending simulation even further back, (2) a strong desire to avoid repeating the top- - - ics and content I had worn thin during 2006–07 as an interconti- random bits coder {X˜n} nental itinerant lecturer for the Signal Processing Society, (3) an equally strong desire to revive some of my favorite topics from the mid 1970s—my most active and focused period doing Figure 1: Source coding and simulation. unadulterated information theory, and (4) a strong wish to add something new taking advantage of hindsight and experience, The goal of source coding [1] is to communicate or transmit preferably a new twist on some old ideas that had not been pre- the source through a constrained, discrete, noiseless com- viously fully exploited. -
“USC Engineering and I Grew up Together,” Viterbi Likes to Say
Published by the University of Southern California Volume 2 Issue 2 Let There Be Light A Revolution in BioMed Imaging Small and Deadly A Proper Name Searching for Air A Proper Name Pollution Solutions Viterbis Name School of Engineering Digital Reunion Reuniting the Parthenon and its Art Spring/Summer 2004 One man’s algorithm changed the way the world communicates. One couple’s generosity has the potential to do even more. Andrew J. Viterbi: Presenting The University of Southern California’s • Inventor of the Viterbi Algorithm, the basis of Andrew and Erna Viterbi School of Engineering. all of today’s cell phone communications • The co-founder of Qualcomm • Co-developer of CDMA cell phone technology More than 40 years ago, we believed in Andrew Viterbi and granted him a Ph.D. • Member of the National Academy of Engineering, the National Academy of Sciences and the Today, he clearly believes in us. He and his wife of nearly 45 years have offered American Academy of Arts and Sciences • Recipient of the Shannon Award, the Marconi Foundation Award, the Christopher Columbus us their name and the largest naming gift for any school of engineering in the country. With the Award and the IEEE Alexander Graham Bell Medal • USC Engineering Alumnus, Ph.D., 1962 invention of the Viterbi Algorithm, Andrew J. Viterbi made it possible for hundreds of millions of The USC Viterbi School of Engineering: • Ranked #8 in the country (#4 among private cell phone users to communicate simultaneously, without interference. With this generous gift, he universities) by U.S. News & World Report • Faculty includes 23 members of the National further elevates the status of this proud institution, known from this day forward as USC‘s Andrew Academy of Engineering, three winners of the Shannon Award and one co-winner of the 2003 Turing Award and Erna Viterbi School of Engineering. -
Multi-Way Communications: an Information Theoretic Perspective
Full text available at: http://dx.doi.org/10.1561/0100000081 Multi-way Communications: An Information Theoretic Perspective Anas Chaaban KAUST [email protected] Aydin Sezgin Ruhr-University Bochum [email protected] Boston — Delft Full text available at: http://dx.doi.org/10.1561/0100000081 Foundations and Trends R in Communications and Information Theory Published, sold and distributed by: now Publishers Inc. PO Box 1024 Hanover, MA 02339 United States Tel. +1-781-985-4510 www.nowpublishers.com [email protected] Outside North America: now Publishers Inc. PO Box 179 2600 AD Delft The Netherlands Tel. +31-6-51115274 The preferred citation for this publication is A. Chaaban and A. Sezgin. Multi-way Communications: An Information Theoretic Perspective. Foundations and Trends R in Communications and Information Theory, vol. 12, no. 3-4, pp. 185–371, 2015. R This Foundations and Trends issue was typeset in LATEX using a class file designed by Neal Parikh. Printed on acid-free paper. ISBN: 978-1-60198-789-1 c 2015 A. Chaaban and A. Sezgin All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, mechanical, photocopying, recording or otherwise, without prior written permission of the publishers. Photocopying. In the USA: This journal is registered at the Copyright Clearance Cen- ter, Inc., 222 Rosewood Drive, Danvers, MA 01923. Authorization to photocopy items for internal or personal use, or the internal or personal use of specific clients, is granted by now Publishers Inc for users registered with the Copyright Clearance Center (CCC).