- Knowledge of the classification of signals. Knowledge of frequency analysis, both in continuous-time and in discrete-time. Knowledge of linear time-invariant (LTI) systems, as well as of their representation in the time and frequency domains. Knowledge of the basic types of filters. Knowledge of random processes and of their spectral representation. - Ability to classify signals with respect to their properties. Ability to transform and analyze a signal in the frequency domain. Ability to classify and analyze an LTI system in the time and frequency domains. - Knowledge of amplitude modulation analog transmission systems and ability to calculate the relative system performances. - Knowledge of the methods to transmit an analog signal by means of a digital transmission system and ability to calculate the system performances. - Knowledge of digital transmission systems, baseband and not baseband, binary and multilevel, and ability to calculate the systems performances. - Background knowledge about source coding and ability to calculate the performances.

Real and complex analysis of one- and multi-dimensional functions. Probability theory. Gaussian random variables. First order linear differential equations. Dirac impulse function.

SIGNAL THEORY: - Classification of signals; energy and power - Fourier series and transform - LTI systems, impulse response and transfer function - Energy spectrum and autocorrelation function - Periodic signals and power spectrum - Sampling theorem - Fast Fourier Transform - Introduction to random processes - Geometric representation of signals - Introduction to time-frequency analysis ELECTRICAL COMMUNICATION INTRODUCTION: - Communication systems introduction - Electrical noise in communication systems ANALOGUE MODULATIONS AND PULSE CODE MODULATION SYSTEMS: - Amplitude Modulation - Pulse Code Modulation Systems DIGITAL MODULATION SYSTEMS: - Pulse Amplitude Modulation and Signals geometrical representation - Bit Error Rate Performances for Digital receivers with real filtering, optimum filtering and ideal low pass filtering - Power Spectrum analysis for baseband digital modulations - PSK, QPSK and QAM Digital modulations: Bit Error Rate and bandwidth analysis - Frequency Division Multiplexing and Time Division Multiplexing DIGITAL SOURCE CODING: - Huffman coding

Lectures and exercise classes will be given. Exercises on the course topics are solved during class. Exercises can be solved directly by the lecturer, or proposed by the lecturer and solved by the students with his help.

Reference books: • L. Lo Presti e F. Neri, L'analisi dei segnali, CLUT, 1992. • L. Lo Presti e F. Neri, Introduzione ai processi casuali, CLUT, 1992. • Leon W. Couch, Fondamenti di telecomunicazioni, APOGEO, 2002 . • G. Albertengo, A. Bianco e M. Mondin, Esercizi svolti di Comunicazioni Elettriche, CLUT,1997. Additional suggested books : • Papoulis e S. U. Pillai, Probability, Random Variables and Stochastic Processes, McGraw-Hill, 2002. • G. Taricco, Comunicazioni Elettriche con elementi di teoria dell'informazione, CLUT, 2002 All lecture materials will be made available on the course website before the lecture starts. Students should either download or print the files before the lecture and use the copy to facilitate taking notes.

Exam: Written test; Optional oral exam;

The goal of the exam is to test the knowledge of the candidate about the topics included in the official program and to verify the skill in analysis and design of signals and transmission systems. The exam consists of two steps: a written exam followed by an optional (not compulsory) oral exam. The assessment of both the written and the oral part is based on marks ranging from 0 to 30 (the maximum is 30 out of 30 cum laude). The final assessment is determined by considering both the marks obtained in the written exam and the optional interview. WRITTEN EXAM: a mark less than 18 out of 30 in the written exam is not sufficient for the admission to the optional oral exam. Candidates are not allowed to take in the exam room text-books or notes relevant to course (excluding the official formulary). The use of electronic calculators can be allowed provided these are cleared of all pre-stored programmes or information. The written exam consists of 2 parts. The first part of the Written test is about Signal Theory and is made by 7-8 multiple choice questions. Every question is an exercise whose solution requires only the Fourier transform table provided by the lecturer. The score is the sum of the grades granted for every exercise solved correctly. In order to pass the final examination the score of Signal Theory written test has to be higher or equal to 18/30. The second part of the Written test is about Communication Theory and it is a written examination on designing, performances calculation and theory questions on transmission systems. In order to pass the final examination the score of Communication Theory written test has to be higher or equal to 16/30. The Final score of the Written Test is given by the average between the Signal Theory and the Communication Theory written tests scores. The overall written Examination ( First and Second parts) is 2,5 hours. ORAL EXAM: the oral exam is optional (not compulsory) and students are admitted to the oral exam if the assessment of their overall written exam is 18 marks out of 30 or more. The assessment of oral exam cannot be less than 18 marks out of 30. The exam is passed if the final assessment (accounting for the marks of the written and oral exam) is 18 marks out of 30 or more. Oral exam is mainly oriented to check whether a candidate has a sufficiently wide knowledge of the theoretical topics of the course program. Oral exam may include questions concerning the written exam of the candidate. In general, the optional oral exam must be passed in the same exam session (appello) in which the written exam is passed.

In addition to the message sent by the online system, students with disabilities or Specific Learning Disorders (SLD) are invited to directly inform the professor in charge of the course about the special arrangements for the exam that have been agreed with the Special Needs Unit. The professor has to be informed at least one week before the beginning of the examination session in order to provide students with the most suitable arrangements for each specific type of exam.