# Matematica | INFORMATION THEORY 1

## Matematica INFORMATION THEORY 1

 0512300016 DIPARTIMENTO DI MATEMATICA MATHEMATICS 2015/2016

 OBBLIGATORIO YEAR OF COURSE 2 YEAR OF DIDACTIC SYSTEM 2010 PRIMO SEMESTRE
SSD CFU HOURS ACTIVITY TYPE OF ACTIVITY INF/01 6 48 LESSONS BASIC COMPULSORY SUBJECTS
 VIRGINIA GIORNO T
Objectives
1. KNOWLEDGE AND UNDERSTANDING: KNOWLEDGE OF ELEMENTS OF PROBABILITY THEORY IN THE CONTEXT OF THE INFORMATION THEORY. KNOWLEDGE OF INFORMATION MEASURES AND OF CODING THEORY. ABILITY TO ANALYZE SIMPLE TRANSMISSION SYSTEMS.

2. APPLYING KNOWLEDGE AND UNDERSTANDING: TO USE PROBABILISTIC METHODS IN THE CONTEXT OF INFORMATION THEORY. REASONING ABILITY TO ANALYSE THE VARIOUS MEASURES OF INFORMATION. ABILITY TO IDENTIFY THE PERFORMANCES OF A SIMPLE THEORY TRANSMISSION SYSTEM.

3. MAKING JUDGEMENTS: CRITICAL THINKING ABILITY. ABILITY TO IDENTIFY APPROPRIATE METHODS TO ANALYZE AND INTERPRET PROBLEMS.

4. COMMUNICATION SKILLS: ABILITY TO EXPOSE AND TO CONNECT IN A SYSTEMATIC WAY THE STUDIED TOPICS

5. LEARNING SKILLS: THE TEACHING METHOD INCLUDES THEORETICAL LESSONS SUPPLEMENTED BY EXERCISES, EXAMPLES, AND PROBLEMS ON ALL TOPICS. CLASS ATTENDANCE IS STRONGLY RECOMMENDED, BECOUSE DURING THE LESSONS THE STUDENTS ARE STIMULATED TO LEARN AND TO CONNECT IN A SYSTEMATIC AND CRITICIZES THE VARIOUS TOPICS.
Prerequisites
BASIC CONCEPTS OF ALGEBRA AND MATHEMATICAL ANALYSIS
Contents
PROBABILITY ESSENTIALS.
DESCRIPTION OF A ONE-DIMENSIONAL COMMUNICATION SYSTEM. INFORMATION MEASURES.
FINITE STATIONARY MEMORY LESS SOURCES.
SOURCE CODING THEOREMS.
FINITE STATIONARY MEMORY LESS CHANNELS.
CHANNEL CODING THEOREMS.
Teaching Methods
LESSONS GIVEN IN CLASSROOM
Verification of learning
ORAL EXAMINATION
Texts
COVER M. C. AND THOMAS J. A. - ELEMENTS OF INFORMATION THEORY - JOHN WILEY & SONS, INC.
FABRIS F. – TEORIA DELL’INFORMAZIONE, CODOCI, CIFRARI – BORINGHIERI.
GALLAGER R. - INFORMATION THEORY AND RELIABLE COMMUNICATION - J. WILEY.
DALL’AGLIO G. - CALCOLO DELLE PROBABILITÀ – ZANICHELLI
DI CRESCENZO A., GIORNO V., NOBILE A.G., RICCIARDI L.M. – UN PRIMO CORSO IN PROBABILITÀ PER SCIENZE PURE ED APPLICATE – LIGUORI
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