Modulation and coding course- lecture 1

Digital Communication I: Modulation and Coding Course Period - 2007 Catharina Logothetis Lecture Course information „ Scope of the course „ „ Digital Communication systems Practical information „ Course material Schedule Staff Grading „ More information on: „ „ „ http://www.signal.uu.se/Courses/CourseDirs/ModDemKod/2007/main.html „ Introduction to digital communication systems Lecture Scope of the course „ Communication is a process by which information is exchanged between individuals through a common system of symbols, signs, or behavior „ Communication systems are reliable, economical and efficient means of communications „ „ Public switched telephone network (PSTN), mobile telephone communication (GSM, 3G, ), broadcast radio or television, navigation systems, The course is aiming at introducing fundamental issues in designing a (digital) communication system Lecture Scope of the course „ Example of a (digital) communication systems: Cellular wireless communication systems BS Base Station (BS) UE UE UE User Equipment (UE) Lecture Scope of the course General structure of a communication systems Noise Info SOURCE Source Received Received Transmitted info signal signal Receiver Transmitter Channel User Transmitter Formatter Source encoder Channel encoder Modulator Receiver Formatter Source decoder Channel decoder Lecture Demodulator Scope of the course … „ Learning fundamental issues in designing a digital communication system (DCS): „ Utilized techniques „ „ „ „ „ „ „ „ Formatting and source coding Modulation (Baseband and bandpass signaling) Channel coding Equalization Synchronization Design goals Trade-offs between various parameters Lecture Practical information „ Course material „ Course text book: „ „ Additional recommended books: „ „ „ „ “Digital communications: Fundamentals and Applications” by Bernard Sklar,Prentice Hall, 2001, ISBN: 0-13-084788-7 “Communication systems engineering”, by John G Proakis and Masoud Salehi, Prentice Hall, 2002, 2nd edition, ISBN: 0-13095007-6 “Introduction to digital communications”, by Michael B Pursley, Pearson, Prentice Hall, 2005, International edition, ISBN: 0-13123392-0 ”Digital communications”, by Ian A Glover and Peter M Grant, Pearson, Prentice Hall, 2004, 2nd edition, ISBN: 0-13-089399-4 Material accessible from course homepage: „ „ „ „ „ News Lecture slides (.ppt, pdf) Laboratory syllabus (Lab PM) Set of exercises and formulae Old exams Lecture Schedule „ 13 lectures: „ „ 10 tutorials: „ „ week to week mandatory laboratory work: „ „ from week to week Week Final written exam on 12th of March 2007 kl 9.00-14.00 Lecture Staff „ Course responsible and lecturer and giving tutorials: „ „ „ „ Catharina Logothetis Office: Hus (våning 6), Ångström Tel.: 018-471 3068 Email: catharina.carlemalm@signal.uu.se Lecture Today, we are going to talk about: „ What are the features of a digital communication system? „ „ Why “digital” instead of “analog”? What we need to know before taking off toward designing a DCS? „ „ „ „ „ „ „ Classification of signals Random process Autocorrelation Power and energy spectral densities Noise in communication systems Signal transmission through linear systems Bandwidth of signal Lecture 10 Digital communication system „ Important features of a DCS: „ Transmitter sends a waveform from a finite set of possible waveforms during a limited time „ Channel distorts, attenuates the transmitted signal and adds noise to it „ Receiver decides which waveform was transmitted from the noisy received signal „ Probability of erroneous decision is an important measure for the system performance Lecture 11 Digital versus analog „ Advantages of digital communications: „ Regenerator receiver Original pulse Regenerated pulse Propagation distance „ Different kinds of digital signal are treated identically Voice A bit is a bit! Data Media Lecture 12 Classification of signals „ Deterministic and random signals „ Deterministic signal: No uncertainty with respect to the signal value at any time „ Random signal: Some degree of uncertainty in signal values before it actually occurs „ „ Thermal noise in electronic circuits due to the random movement of electrons Reflection of radio waves from different layers of ionosphere Lecture 13 Classification of signals … „ Periodic and non-periodic signals A periodic signal „ A non-periodic signal Analog and discrete signals A discrete signal Analog signals Lecture 14 Classification of signals Energy and power signals „ „ A signal is an energy signal if, and only if, it has nonzero but finite energy for all time: „ A signal is a power signal if, and only if, it has finite but nonzero power for all time: „ General rule: Periodic and random signals are power signals Signals that are both deterministic and non-periodic are energy signals Lecture 15 Random process A random process is a collection of time functions, or signals, corresponding to various outcomes of a random experiment For each outcome, there exists a deterministic function, which is called a sample function or a realization Random variables Real number „ Sample functions or realizations (deterministic function) time (t) Lecture 16 Random process … „ Strictly stationary: If none of the statistics of the random process are affected by a shift in the time origin „ Wide sense stationary (WSS): If the mean and autocorrelation function not change with a shift in the origin time „ Cyclostationary: If the mean and autocorrelation function are periodic in time „ Ergodic process: A random process is ergodic in mean and autocorrelation, if and , respectively Lecture 17 Autocorrelation „ Autocorrelation of an energy signal „ Autocorrelation of a power signal „ „ For a periodic signal: Autocorrelation of a random signal „ For a WSS process: Lecture 18 Spectral density „ Energy signals: „ „ Power signals: „ „ Energy spectral density (ESD): Power spectral density (PSD): Random process: „ Power spectral density (PSD): Lecture 19 Properties of an autocorrelation function „ For real-valued (and WSS in case of random signals): Autocorrelation and spectral density form a Fourier transform pair Autocorrelation is symmetric around zero Its maximum value occurs at the origin Its value at the origin is equal to the average power or energy Lecture 20 ... „ 10 tutorials: „ „ week to week mandatory laboratory work: „ „ from week to week Week Final written exam on 12 th of March 2007 kl 9.00 -14 .00 Lecture Staff „ Course responsible and lecturer and. .. 0 -13 -089399-4 Material accessible from course homepage: „ „ „ „ „ News Lecture slides (.ppt, pdf) Laboratory syllabus (Lab PM) Set of exercises and formulae Old exams Lecture Schedule „ 13 lectures:... and source coding Modulation (Baseband and bandpass signaling) Channel coding Equalization Synchronization Design goals Trade-offs between various parameters Lecture Practical information „ Course