Telecommunication Systems 1 Prof. Dr. Tayfun Akgül COMMUNICATION ENGINEERING • • • • • • • Course Code : ISE301 Course title : Telecommunication Systems Credit Hours : 3 Semester : Fall 2009 Instructor : Prof. Dr. Tayfun AKGÜL Course Page : http://atlas.cc.itu.edu.tr/~akgultay/ Refernece Book : A. B. Carlson, P.B. Crilly, J.C. Rutledge, “Communication Systems,” McGraw-Hill, 4th Edition, 2002. Syllabus - I • Introduction to Signals • General Topics in Communications and Modulation • Spectral Analysis – Fourier Series – Fourier Transform – Frequency Domain Representation of Finite Energy Signals and Periodic Signals – Signal Energy and Energy Spectral Density – Signal Power and Power Spectral Density • Signal Transmission through a Linear System – Convolution Integral and Transfer Function – Ideal and Practical Filters – Signal Distortion over a Communication Channel Syllabus - II • Amplitude (Linear) Modulation (AM) – Amplitude Modulation (AM) – Double Side Band Suppressed Carrier (DSBSC) – Single Side Band (SSB) – Vestigial Side Band (VSB) • AM Modulator and Demodulator Circuits – AM transmitter block diagram • Angle (Exponential) Modulation – Phase Modulation (PM) – Frequency Modulation (FM) – Modulation Index – Spectrum of FM Signals – Relationship between PM and FM • FM Modulator and Demodulator Circuits • FM Transmitter Block Diagram • FM Receiver Outline • Signals and Systems – – – – – – – – – – Signals and Systems What is a signal? Signal Basics Analog / Digital Signals Real vs Complex Periodic vs. Aperiodic Bounded vs. Unbounded Causal vs. Noncausal Even vs. Odd Power vs. Energy • What is a communications system? – Block Diagram – Why go to higher frequencies? • Telecommunication • Wireless Communication • Another Classification of Signals (Waveforms) • Power, Distortion, Noise • Shannon Capacity • How transmissions flow over media – – – – – – Coaxial Cable Unshielded Twisted Pair Glass Media Wireless Connectors The Bands Signal and System Signals are variables that carry information System is an assemblage of entities/objects, real or abstract, comprising a whole with each every component/element interacting or related to another one. Systems process input signals to produce output signals Examples i. ii. Motion, sound, picture, video, traffic light… Natural system (ecosystem), human-made system (machines, computer storage system), abstract system (traffic, computer programs), descriptive system (plans) Signal Examples • Electrical signals --- voltages and currents in a circuit • Acoustic signals --- audio or speech signals (analog or digital) • Video signals --- intensity variations in an image (e.g. a CAT scan) • Biological signals --- sequence of bases in a gene • Noise: unwanted signal : Measuring Signals 1 0.8 0.6 0.4 0.2 1 22 43 64 85 106 127 148 169 190 211 232 253 274 295 316 337 358 379 400 421 442 463 484 505 526 547 568 589 610 631 652 673 694 715 -0.2 -0.4 -0.6 -0.8 -1 Period Amplitude 0 Definitions • Voltage – the force which moves an electrical current against resistance • Waveform – the shape of the signal (previous slide is a sine wave) derived from its amplitude and frequency over a fixed time (other waveform is the square wave) • Amplitude – the maximum value of a signal, measured from its average state • Frequency (pitch) – the number of cycles produced in a second – Hertz (Hz). Relate this to the speed of a processor eg 1.4GigaHertz or 1.4 billion cycles per second Signal Basics Continuous time (CT) and discrete time (DT) signals CT signals take on real or complex values as a function of an independent variable that ranges over the real numbers and are denoted as x(t). DT signals take on real or complex values as a function of an independent variable that ranges over the integers and are denoted as x[n]. Note the subtle use of parentheses and square brackets to distinguish between CT and DT signals. Analog Signals • • • • Human Voice – best example Ear recognises sounds 20KHz or less AM Radio – 535KHz to 1605KHz FM Radio – 88MHz to 108MHz Digital signals • Represented by Square Wave • All data represented by binary values • Single Binary Digit – Bit • Transmission of contiguous group of bits is a bit stream • Not all decimal values can be represented by binary 1 0 1 0 1 0 1 0 Analogue vs. Digital Analogue Advantages • Best suited for audio and video • Consume less bandwidth • Available world wide • Less susceptible to noise Digital Advantages • Best for computer data • Can be easily compressed • Can be encrypted • Equipment is more common and less expensive • Can provide better clarity Analog or Digital • Analog Message: continuous in amplitude and over time – AM, FM for voice sound – Traditional TV for analog video – First generation cellular phone (analog mode) – Record player • Digital message: 0 or 1, or discrete value – VCD, DVD – 2G/3G cellular phone – Data on your disk – Your grade • Digital age: why digital communication will prevail A/D and D/A • Analog to Digital conversion; Digital to Analog conversion – Gateway from the communication device to the channel • Nyquist Sampling theorem – From time domain: If the highest frequency in the signal is B Hz, the signal can be reconstructed from its samples, taken at a rate not less than 2B samples per second A/D and D/A • Quantization – – – – From amplitude domain N bit quantization, L intervals L=2N Usually 8 to 16 bits Error Performance: Signal to noise ratio Real vs. Complex Q. Why do we deal with complex signals? A. They are often analytically simpler to deal with than real signals, especially in digital communications. Periodic vs. Aperiodic Signals Periodic signals have the property that x(t + T) = x(t) for all t. The smallest value of T that satisfies the definition is called the period. Shown below are an aperiodic signal (left) and a periodic signal (right). Causal vs. Non-causal A causal signal is zero for t < 0 and an non-causal signal is zero for t > 0 Right- and left-sided signals A right-sided signal is zero for t < T and a left-sided signal is zero for t > T where T can be positive or negative. Bounded vs. Unbounded Every system is bounded, but meaningful signal is always bounded Even vs. Odd Even signals xe(t) and odd signals xo(t) are defined as xe(t) = xe(−t) and xo(t) = −xo(−t). Any signal is a sum of unique odd and even signals. Using x(t) = xe(t)+xo(t) and x(−t) = xe(t) − xo(t), yields xe(t) =0.5(x(t)+x(−t)) and xo(t) =0.5(x(t) − x(−t)). Signal Properties: Terminology • • • • • • • • Waveform Time-average operator Periodicity DC value Power RMS Value Normalized Power Normalized Energy Power and Energy Signals • Power Signal – Infinite duration – Normalized power is finite and nonzero – Normalized energy averaged over infinite time is infinite – Mathematically tractable • Energy Signal – Finite duration – Normalized energy is finite and nonzero – Normalized power averaged over infinite time is zero – Physically realizable • Although “real” signals are energy signals, we analyze them pretending they are power signals! The Decibel (dB) • Measure of power transfer • 1 dB = 10 log10 (Pout / Pin) • 1 dBm = 10 log10 (P / 10-3) where P is in Watts • 1 dBmV = 20 log10 (V / 10-3) where V is in Volts Communication System B A Engineering System Social System Genetic System History and fact of communication What is a communications system? • Communications Systems: Systems designed to transmit and receive information Info Source Comm System Info Sink Block Diagram Info Source m(t) message from source n(t) noise Transmitter Channel Tx s(t) transmitted signal Receiver Rx r(t) received ~ (t ) signal m received message to sink Info Sink Telecommunication • • • • • • • Telegraph Fixed line telephone Cable Wired networks Internet Fiber communications Communication bus inside computers to communicate between CPU and memory Wireless Comm Evolution: UMTS (3G) http://www.3g-generation.com/ http://www.nttdocomo.com/reports/010902_ir_presentation_january.pdf Wireless Communications • • • • • • • • • • • • Satellite TV Cordless phone Cellular phone Wireless LAN, WIFI Wireless MAN, WIMAX Bluetooth Ultra Wide Band Wireless Laser Microwave GPS Ad hoc/Sensor Networks Comm. Sys. Bock Diagram Noise m(t) Tx Baseband Signal • “Low” Frequencies • <20 kHz • Original data rate s(t) Channel r(t) Bandpass Signal Rx ~ (t ) m Baseband Signal • “High” Frequencies • >300 kHz • Transmission data rate Modulation Formal definitions will be provided later Demodulation or Detection Aside: Why go to higher frequencies? Half-wave dipole antenna Tx l/2 c=fl c = 3E+08 ms-1 Calculate l for f = 5 kHz f = 300 kHz There are also other reasons for going from baseband to bandpass Another Classification of Signals (Waveforms) • Deterministic Signals: Can be modeled as a completely specified function of time • Random or Stochastic Signals: Cannot be completely specified as a function of time; must be modeled probabilistically • What type of signals are information bearing? Power, Distortion, Noise • Transmit power – Constrained by device, battery, health issue, etc. • Channel responses to different frequency and different time – Satellite: almost flat over frequency, change slightly over time – Cable or line: response very different over frequency, change slightly over time. – Fiber: perfect – Wireless: worst. Multipath reflection causes fluctuation in frequency response. Doppler shift causes fluctuation over time • Noise and interference – AWGN: Additive White Gaussian noise – Interferences: power line, microwave, other users (CDMA phone) Shannon Capacity • Shannon Theory – It establishes that given a noisy channel with information capacity C and information transmitted at a rate R, then if R<C, there exists a coding technique which allows the probability of error at the receiver to be made arbitrarily small. This means that theoretically, it is possible to transmit information without error up to a limit, C. – The converse is also important. If R>C, the probability of error at the receiver increases without bound as the rate is increased. So no useful information can be transmitted beyond the channel capacity. The theorem does not address the rare situation in which rate and capacity are equal. • Shannon Capacity C B log 2 (1 SNR) bit / s How transmissions flow over media • Simplex – only in one direction • Half-Duplex – Travels in either direction, but not both directions at the same time • Full-Duplex – can travel in either direction simultaneously Coaxial Cable •First type of networking media used •Available in different types (RG-6 – Cable TV, RG58/U – Thin Ethernet, RG8 – Thick Ethernet •Largely replaced by twisted pair for networks Unshielded Twisted Pair Advantages Inexpensive Easy to terminate Widely used, tested Supports many network types Disadvantages Susceptible to interference Prone to damage during installation Distance limitations not understood or followed Glass Media • Core of silica, extruded glass or plastic • Single-mode is 0.06 of a micron in diameter • Multimode = 0.5 microns • Cladding can be Kevlar, fibreglass or even steel • Outer coating made from fire-proof plastic Advantages Can be installed over long distances Provides large amounts of bandwidth Not susceptible to EMI RFI Can not be easily tapped (secure) Disadvantages Most expensive media to purchase and install Rigorous guidelines for installation Wireless Wireless (2) • • • • Radio transmits at 10KHz to 1KHz Microwaves transmit at 1GHz to 500GHz Infrared transmits at 500GHz to 1THz Radio transmission may include: – Narrow band – High-powered – Frequency hopping spread spectrum (the hop is controlled by accurate timing) – Direct-sequence-modulation spread spectrum (uses multiple frequencies at the same time, transmitting data in ‘chips’ at high speed) Connectors Fibre Optic RJ45 Token Ring Thicknet T-Piece The Bands ELF VLF LF MF HF VHF UHF SHF EHF Radio Submillimeter Range 3KHz 30KHz 300KHz 3MHz 30MHz300MHz 3GHz 30GHz 300GHz 3THz Far InfraRed Optical 300mm 1500nm 1PetaHz Near InfraRed R e d 700nm 1ExaHz O r a n g e Y e l l o w 600nm G r e e n B l u e 500nm I n d i g o V i o l e t Ultraviolet 400nm X-Ray