Matematica | INFORMATION THEORY 1

cod. 0512300016

INFORMATION THEORY 1

	0512300016
	DIPARTIMENTO DI MATEMATICA

	MATHEMATICS
	2015/2016

CURRICULUM MATEMATICA AD INDIRIZZO GENERALE

	OBBLIGATORIO
	YEAR OF COURSE 2
	YEAR OF DIDACTIC SYSTEM 2010
	PRIMO SEMESTRE

TEACHING UNITS

	SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
	INF/01	6	48	LESSONS	BASIC COMPULSORY SUBJECTS

	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.

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

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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