Analog, Digital and Multimedia Telecommunications: Basic and Classic Principles
4/5
()
About this ebook
Analog Telecommunications Signals and spectra; linear-continuous and
exponential waves modulations; AM and FM systems noise; TDM and FDM; pulse
modulation; sampling theorem; pulse amplitude and pulse width modulations; pulse
position and pulse code modulations; PSK; FSK; data transmission; base-band transmission;
error control; circuit noise; noise sources; noise fi gure; and noise temperature.
Digital TelecommunicationsElements of a digital telecommunications system;
digital modulations; delta modulation; phase shift keying techniques (BPSK, DPSK,
QPSK, DQPSK, DEPSK, M-array PSK); frequency shift keying (BFSK, M-array FSK);
QAM; multiplexing techniques; information theory and coding; amount of information;
information transfer rate; baud rate; channel capacity and Shannon theorem; coding
effi ciency; error probability; error detection; and error correction.
Multimedia Telecommunications Telecommunications in the context of
multimedia systems.
Omar Fakih Hamad
Omar has been IEEE member since 1997. He graduated PhD (Computer Engineering) from Multimedia Data Communications Laboratory, School of Electronics and Computer Engineering at Chonnam National University, Korea, in February 2008. Respectively, in July 1998 and February 2000, Omar got BE and ME (Microwave) from the department of Electronics and Communications Engineering at Birla Institute of Technology, Ranchi, India. Since July 2002, Dr. Omar has been a Telecommunications Engineering Lecturer, University of Dar es Salaam, Tanzania. He is a member of NEPAD Council and technical committees in many international conferences and workshops. His interest is in Telecommunications Systems, DSP, Bandwidth Calculus in Overlay Multimedia Multicasting Systems, RDMA, FTTH, Multimedia Delivery over PLC Networks. He is now (2010~2011) a Post Doctoral Research Fellow at the Telecommunications Research Group in the Faculty of Engineering and the Built Environment at the University of Johannesburg in South Africa.
Related to Analog, Digital and Multimedia Telecommunications
Related ebooks
Simulation of Digital Communication Systems Using Matlab Rating: 4 out of 5 stars4/5RF Analog Impairments Modeling for Communication Systems Simulation: Application to OFDM-based Transceivers Rating: 0 out of 5 stars0 ratingsIntroduction to GSM: Second Edition Rating: 0 out of 5 stars0 ratingsMicrostrip and Printed Antennas: New Trends, Techniques and Applications Rating: 4 out of 5 stars4/5Wireless Optical Communications Rating: 0 out of 5 stars0 ratingsApplied Digital Signal Processing and Applications Rating: 0 out of 5 stars0 ratingsRF and Microwave Engineering: Fundamentals of Wireless Communications Rating: 0 out of 5 stars0 ratingsTelephone Communication System Essentials Rating: 0 out of 5 stars0 ratingsConcise Guide to OTN optical transport networks Rating: 4 out of 5 stars4/5Antenna Theory and Applications Rating: 5 out of 5 stars5/5Essential 4G Guide: Learn 4G Wireless In One Day Rating: 4 out of 5 stars4/5Tactical Wireless Communications and Networks: Design Concepts and Challenges Rating: 5 out of 5 stars5/5MCS-042: Data Communication and Networks Rating: 0 out of 5 stars0 ratingsDigital Filters Rating: 4 out of 5 stars4/5Practical Guide to MIMO Radio Channel: with MATLAB Examples Rating: 0 out of 5 stars0 ratingsSelf-Organizing Networks: Self-Planning, Self-Optimization and Self-Healing for GSM, UMTS and LTE Rating: 0 out of 5 stars0 ratingsWireless Networks for Industrial Automation, Fourth Edition Rating: 0 out of 5 stars0 ratingsThe Discrete Charm of the Machine: Why the World Became Digital Rating: 0 out of 5 stars0 ratingsTCP Congestion Control: A Systems Approach Rating: 0 out of 5 stars0 ratingsDigital Modulations using Matlab Rating: 4 out of 5 stars4/5GSM - Architecture, Protocols and Services Rating: 1 out of 5 stars1/5Fundamentals of Cognitive Radio Rating: 0 out of 5 stars0 ratingsOptimum Array Processing: Part IV of Detection, Estimation, and Modulation Theory Rating: 0 out of 5 stars0 ratingsSignals & Systems Demystified Rating: 0 out of 5 stars0 ratingsDesign of Integrated Circuits for Optical Communications Rating: 0 out of 5 stars0 ratingsFiber Optics and Optoelectronic Devices Rating: 0 out of 5 stars0 ratingsData Communication and Networking: For Under-graduate Students Rating: 0 out of 5 stars0 ratingsMobile Network Optimization: A Guide for 2G and 3G Mobile Network Optimization Rating: 3 out of 5 stars3/5Internet of Things & Wireless Sensor Network Rating: 0 out of 5 stars0 ratingsDigital Spectral Analysis MATLAB® Software User Guide Rating: 0 out of 5 stars0 ratings
Telecommunications For You
A Beginner's Guide to Ham Radio Rating: 0 out of 5 stars0 ratingsMake Your Smartphone 007 Smart Rating: 4 out of 5 stars4/5Tor and the Dark Art of Anonymity Rating: 5 out of 5 stars5/5Pharmacology Demystified Rating: 4 out of 5 stars4/5iPhone Unlocked Rating: 0 out of 5 stars0 ratingsCodes and Ciphers - A History of Cryptography Rating: 4 out of 5 stars4/5iPhone Unlocked for the Non-Tech Savvy Rating: 5 out of 5 stars5/5The TAB Guide to DIY Welding: Hands-on Projects for Hobbyists, Handymen, and Artists Rating: 0 out of 5 stars0 ratingsTeardowns: Learn How Electronics Work by Taking Them Apart Rating: 0 out of 5 stars0 ratingsCodes and Ciphers Rating: 5 out of 5 stars5/5Linear Algebra Demystified Rating: 0 out of 5 stars0 ratingsTrigonometry Demystified 2/E Rating: 4 out of 5 stars4/515 Dangerously Mad Projects for the Evil Genius Rating: 4 out of 5 stars4/5Business Math Demystified Rating: 4 out of 5 stars4/5Business Calculus Demystified Rating: 0 out of 5 stars0 ratingsThe Deal of the Century: The Breakup of AT&T Rating: 4 out of 5 stars4/5Steampunk Gear, Gadgets, and Gizmos: A Maker's Guide to Creating Modern Artifacts Rating: 4 out of 5 stars4/5Medical Charting Demystified Rating: 2 out of 5 stars2/5Digital Filmmaking for Beginners A Practical Guide to Video Production Rating: 0 out of 5 stars0 ratingsPre-Algebra DeMYSTiFieD, Second Edition Rating: 0 out of 5 stars0 ratingsiPhone 16 Pro Max User Manual: The Complete Step-By-Step Guide to Maximize your New iPhone 16 Pro Max and iOS 18 Rating: 0 out of 5 stars0 ratingsBuilding Confidence Using Your iPhone: Book I — THE ULTIMATE GUIDE Rating: 0 out of 5 stars0 ratingsDiagrams of Targeted Justice Rating: 0 out of 5 stars0 ratingsEvaluation of Some Android Emulators and Installation of Android OS on Virtualbox and VMware Rating: 0 out of 5 stars0 ratingsStop Scrolling: 30 Days to Healthy Screen Time Habits (Without Throwing Your Phone Away): 30 Day Expert Series Rating: 0 out of 5 stars0 ratingsVitamins and Minerals Demystified Rating: 0 out of 5 stars0 ratingsDemons of the Deep Rating: 0 out of 5 stars0 ratingsFM Satellite Communications for Beginners: Amateur Radio for Beginners, #7 Rating: 0 out of 5 stars0 ratingsVirtual Selling: How to Build Relationships, Differentiate, and Win Sales Remotely Rating: 4 out of 5 stars4/5
Reviews for Analog, Digital and Multimedia Telecommunications
1 rating0 reviews
Book preview
Analog, Digital and Multimedia Telecommunications - Omar Fakih Hamad
Analog, Digital and Multimedia
Telecommunications
Basic And Classic Principles
Omar Fakih Hamad
missing image file Corporation
Victory Way, Admirals Park Crossways
Dartford DA2 6QD, United Kingdom
Copyright © 2011 by Omar Fakih Hamad.
FIRST EDITION
for university and college students
ISBN: Softcover 978-1-4568-1020-7
ISBN: Ebook 978-1-4568-1021-4
All rights reserved. Reproduction or translation of any part of this work beyond that permitted by International Copyright without the permission of the copyright owner is unlawful. Requests for permission or further information should be addressed to the Permission Unit, Xlibris Corporation, Victory Way, Admirals Park Crossways Dartford DA2 6QD, United Kingdom.
Hamad, Omar Fakih, 1971-
Analog, Digital and Multimedia Telecommunications:
Basic and Classic Principles
This book was printed in the United States of America.
To order additional copies of this book, contact:
Xlibris Corporation
1-888-795-4274
www.Xlibris.com
301065
Dedicated to:
His Excellency Juma Hamad Omar, former principal of Fidel Castro
Secondary School in Zanzibar and former minister in the United
Republic of Tanzania, for his endless efforts in promoting higher
education to intelligent, hardworking, poor students who could,
otherwise, not be able to make it financially!
Contents
Preface
Part I
Analog Telecommunications
Chapter One: Introduction to Telecommunications
1.1 General introduction
1.2 What is telecommunications?
1.3 Very basic telecommunications system
1.4 A telecommunications system with input and output transducers
1.5 Information, messages, and signals
Chapter Two: Signals and Spectra in Telecommunications
2.1 Introduction
2.2 Types of signals in telecommunications
2.3 Spectrum of a signal
2.4 Representation of a periodic signal by the Fourier series
2.5 Complex representation of signal
2.6 Fourier Transforms
2.7 Fourier transform in terms of missing image file
2.8 Fourier transform theorems
2.9 Theorems and transform pairs
2.10 Power Spectral Density
Chapter Three: Liner Continuous Wave (CW) Modulation
3.1 Introduction
3.2 Overview of the modulation methods
3.3 Amplitude modulation (AM)
3.4 The AM spectrum
3.5 AM Transmitter
3.6 AM detection/demodulation
Chapter Four: Exponential Continuous Wave (CW) Modulation
4.1 Introduction
4.3 Frequency modulation (FM)
4.5 Phase demodulation
4.6 De-emphasis and pre-emphasis filtering
Chapter Five: Noise in Telecommunications Systems
5.1 Introduction
5.2 Sources of noise
5.3 Probability density of noise
5.4 Noise in AM systems
5.5 Noise in FM systems
5.6 Comparison of angular and linear modulation systems
5.7 Circuit noise and circuit noise level
Chapter Six: Multiplexing
6.1 Introduction
6.2 Frequency-division multiplexing (FDM)
6.3 Time-division multiplexing (FDM)
6.4 Comparison of TDM and FDM
Chapter Seven: Analog Pulse Modulation
7.1 Introduction
7.2 What is pulse modulation?
7.3 Sampling Theorem
Chapter Eight: Pulse-Code Modulation
8.1 Introduction
8.2 Principle of PCM
8.3 PCM generation and reconstruction
8.3 A PCM receiver
8.4 Quantization noise
8.5 PCM performance
8.6 Advantages of PCM and its applications
Chapter Nine: Data Transmission
9.1 Introduction
9.2 Base-band data transmission
9.3 Error control coding
Part II
Digital Telecommunications
Chapter Ten: Introduction to Digital Telecommunications
10.1 Introduction digital technique
10.3 Basic digital telecommunications nomenclature
10.4 Digital versus analog performance criteria
Chapter Eleven: Pulse Code Modulation (PCM) 11.1 Introduction
11.2 PCM waveform types
11.3 Generation and demodulation of PCM
11.4 Differential PCM
Chapter Twelve: Delta Modulation
12.1 Introduction
12.2 Linear Delta modulation
12.3 Adaptive delta modulation (ADM)
Chapter Thirteen: Phase Shift Keying (PSK)
13.1 Introduction
13.2 Binary Phase-shift keying (BPSK)
13.3 Differential Phase-shift keying (DPSK)
13.4 Differentially-Encoded PSK (DEPSK)
13.5 Quaternary PSK (QPSK)
13.6 Differential QPSK (DQPSK)
13.7 M-ary PSK (MPSK)
Chapter Fourteen: Frequency Shift keying (FSK)
14.1 Introduction
14.2 Binary frequency shift keying (BFSK)
14.3 Comparison of BFSK and BPSK
14.4 M-ary FSK
Chapter Fifteen: Quadrature Amplitude Modulation (QAM)
15.1 Introduction
15.2 QAM as a logical extension of QPSK
15.3 Why do we use QAM (QASK)?
15.4 QASK signal generation
15.5 QASK receiver
Chapter Sixteen: Digital Multiplexing Techniques and Hierarchies
16.1 Introduction
16.2 Digital multiplexing
16.3 Multiplexers and hierarchies
16.4 Major categories of multiplexers
16.5 Multiplexers hierarchies
16.6 The Channel Bank
16.7 Quasi-synchronous Multiplexing
16.8 The AT&T M12 MUX
16.9 Data multiplexers and computer networks
Chapter Seventeen: Information Theory and Coding
17.1 Introduction to communication concepts
17.2 Amount of information
17.3 Entropy and information rate
17.4 Baud rate
17.5 Shannon’s theorem and channel capacity
17.6 Coding, coding efficiency, and error probability
Part III
Multimedia Telecommunications
Chapter Eighteen: Introduction to Multimedia Telecommunications
18.1 Multimedia telecommunications
18.2 Multimedia telecommunications system
18.3 Features for a multimedia telecommunications system
18.4 Basic components of a multimedia telecommunications system
18.5 Data in multimedia telecommunications systems
Chapter Nineteen: Approach to Multimedia Delivery
19.1 Introduction
19.2 Overlay multicast induced packet loss
19.3 Research approach and methodology
Chapter Twenty: Bandwidth-Latency-Product Measures (BLPMs)
20.1 Introduction
20.2 Bandwidth-latency-product formulation and interpretation
Chapter Twenty One: NGS-Based Max-Heap Overlay Multicast Scheme
21.1 Limitations of bandwidth-only-based scheme
21.2 The proposed NGS scheme
21.3 Node gain score (NGS) function
21.4 Logical member positioning in NGSs based overlay
Chapter Twenty Two: Performance Evaluation of Max-Heap Overlay Tree
22.1 Evaluation setup
22.2 Evaluation results and inference
Chapter Twenty Three: Conclusions, Discussion and Possible Future Direction
23.1 Conclusion
23.2 Discussion
23.3 Possible future direction
References
Appendices Tutorials, Quizzes and Tests
Appendix A: Tutorials
A.1 Tutorial One
A.2 Tutorial Two
A.3 Tutorial Three
A.4 Tutorial Four
A.5 Tutorial Five
A.6 Tutorial Six
A.7 Tutorial Seven
A.8 Tutorial Eight
Appendix B: Quizzes
B.1.2 Make-up Quiz One
B.2.1 Quiz Two
B.2.2 Make-up Quiz Two
B.3.1 Quiz Three
B.3.2 Make-up Quiz Three
B.4 Quiz Four
Appendix C: Tests
Preface
In spite the fact that the presentation of this elementary reference book has fetched abundant knowledge and ideas from different sources and people, this book, by itself, is a self referencing piece of work for the beginners and intermediate learners in the field of telecommunications engineering and sciences.
The book has been the result of experiences gained from teaching and learning the materials of the courses—individually and collectively—as analog telecommunications, digital telecommunications and multimedia telecommunications at undergraduate and postgraduate levels.
I am very grateful to the students and the staff for their enormous contributions, motivation and encouragement to make the preparation of this book possible. Many conversations and collaborations with different staff, students and friends in the industry and teaching and learning arenas have been the key success to the book—the success that it owes them big. The direct and indirect encouragements from the head and founder of the telecommunications engineering at the University of Dar es Salaam, Dr. M. M. Kissaka, and the rest of telecommunications engineering staff of putting the materials into a book have been the fundamental inspiration.
The third part of the book, multimedia telecommunications, has been much successful because of the several fruitful discussions that I have had with my friends—seniors and juniors—in Multimedia Data communications Laboratory and specifically very close discussions with my phD professor and supervisor, Dr. Ji seung Nam, of the school of Electronics and computer Engineering at Chonnam National University in the Republic of South Korea.
The real preparation of the manuscript started long back in July 2002 when i started teaching the course to our students at the university of Dar es salaam, and the process continued till in 2010 when the university of Johannesburg, through the Executive Dean of the Faculty of Engineering and the Built Environment, Professor Tshilidzi Marwala, empowered the process through a post doctoral research fellowship and grant offered to me—in collaborationbetween the University of Johannesburg and the South African National Research Foundation (NRF).
This first edition of the book—for university and college students—has been purposely divided into three parts. The basic and classic principles of analog, digital and multimedia telecommunications have been addressed in a simplified manner and without a need of cross-referencing of the encountered equations. That has been done for students to get the direct and inter-related flow of the materials as they read and practice the examples included and those which have been borrowed from other literatures. in addition to the three appendices on tutorials, quizzes and tests, the book has been further divided into twenty three short and manageable chapters including the chapter on conclusions, discussions and future direction on multimedia telecommunications, particularly based on multimedia data delivery challenges.
Part I—Analog Telecommunications—is comprised of nine chapters with Chapter One giving Introduction to Telecommunications; Chapter Two illustrating the need for Signals and Spectra in Telecommunications; Chapter Three on Liner Continuous Wave (CW) Modulation; and Chapter Four devoted to Exponential Continuous Wave (CW) Modulation. Chapter Five is on Noise in Telecommunications Systems; Chapter Six explains Multiplexing; Chapter Seven presents ides on Analog Pulse Modulation; Chapter Eight is about analog based Pulse-Code Modulation; and Chapter Nine touched ideas on Data Transmission.
Part II—Digital Telecommunications—has eight chapters where Chapter Ten gives Introduction to Digital Telecommunications; Chapter Eleven is about digital based Pulse Code Modulation (PCM); Chapter Twelve present principles of Delta Modulation; Chapter Thirteen talks about Phase Shift Keying (PSK); Chapter Fourteen is on Frequency Shift keying (FSK); Chapter Fifteen discusses about Quadrature Amplitude Modulation (QAM); Chapter Sixteen is about Digital Multiplexing Techniques and Hierarchies; and Chapter Seventeen gives detailed discussion on techniques, theories and principles on Information Theory and Coding.
Part III—Multimedia Telecommunications—has six chapters with Chapter Eighteen giving Introduction to Multimedia Telecommunications; Chapter Nineteen discussing the Approach to Multimedia Delivery; Chapter Twenty discussing the Bandwidth- Latency-Product Measures (BLPMs); Chapter Twenty One describing the NGS-Based Max-Heap Overlay Multicast Scheme; Chapter Twenty Two illustrating the Performance Evaluation of Max-Heap overlay Tree; and chapter Twenty Three explaining the Conclusions, Discussion and Possible Future Direction in multimedia delivery techniques.
Omar Fakih Hamad
University of Johannesburg
South Africa
Part I
Analog Telecommunications
Chapter One
Introduction to Telecommunications
1.1 General introduction
Telecommunications, implying electronic communication, defines the science and technology of transmitting information electronically by wires, cables, fibres or radio signals with integrated encoding and decoding equipment. it is about information transmission and switching over communications lines or channels. Technically, information transmission and switching are what make information transfer. it is to be made clear that, at a broader translation, information transfer incorporates both, information transmission and device switching. Nevertheless, in this elementary and introductory edition of the subject, the two will be, and can be, used interchangeably and sometimes complementing each other.
With that basic definition in mind, the telecommunications engineer’s main concern is confined within transmission reception of information signals. By a signal, we mean an electric voltage or current which varies with time and is used to carry messages or information from one point to another. The form of a message in telecommunications engineering can be either in word or coded symbols. However, of great importance in telecommunications is the amount of information the message contains.
But why are we interested in converting information into a signal? it is mainly because it is more convenient to handle information as signal. Through transmission channels, the signal is easily transmitted over a communication system where, at the destination, the signal can then be transformed back to the original information or message.
1.2 What is telecommunications?
In basic electric sense, telecommunications is the sending, receiving, and processing of information by electric means. The evolution of telecommunications and its use emerged as early as in the dates before the nineteenth century, but the documentation started in 1840s with wire telegraphy coming into use. The invention of telephony was observed in the 1870s while in 1900s the field had enjoyed the birth of radio technologies with triode tube which made a great use in WWII. The success gained during the WWii made the field to be widely used further and more refined through the invention of the transistor and the use of the transistor, iC, and other semiconductor devices.
More recently, the use of satellites and fibre optics has made telecommunications more widespread with increasing emphasis on computer and other data communications devices. A modern telecommunications system is concerned with the sorting, the processing, the storing, transmission, further processing, the filtering of noise and the reception with the processing steps including decoding, storage, and interpretation of the signals into real world data.
The forms of telecommunications include radio telephony and telegraphy, broadcasting, point-to-point, mobile communications, computer communications, radar systems, radio-telemetry and radio aids to navigation, and so many others emerging technologies like overlay multicasting and peer-to-peer multimedia sharing over the internet.
Telecommunications background empathizes on proper and adequate understanding of the operations of amplifiers and oscillators, the building blocks of them, and the electronic processes and equipment involved. it is also important to understand the daily telecommunications concepts like noise, modulation, and information theory. Logically, it is a wise and suitable idea to considered basic systems, communications process and circuits, and more complex systems and in that order.
1.3 Very basic telecommunications system
Considering the fact that telecommunications is about sending, processing and receiving of information from a source to at least one destination, Fig. 1.1 depicts a very basic telecommunications system an information source and a destination exchanging information via a communication channel.
missing image fileFig. 1.1. A very basic telecommunications system
At the source, the message signals are generated for the transmitter where the transmitter process the signals and send them along the transmission line or channel to the receiver. The receiver extracts the messages and sends tem to their final destination or sink. During the process, the noise is picked up from various sources during transmission and reception.
1.4 A telecommunications system with input and output transducers
missing image fileFig. 1.2. Elements of a telecommunication system in a voice communication system
Fig. 1.2 describes a typical telecommunications system in a voice communication system where we need to have an input transducer which can be thought of as7, and in fact it is, a microphone, while the output transducer can be a conventional loud speaker
missing image fileFig. 1.3. A telecommunication system with input and output transducers
Fig. 1.3 shows a more generalized telecommunications system with all the basic elements and the external noise environment shown with its effects towards the whole system. It is shown that source of information itself might be a contributor towards the system’s overall nose. The source submits the real world like information to an input transducer whereby the transducer itself might also have some effects to noise contribution. The telecommunications transmitter accepts the signals to transmission channel which, along with the noise from the transmitter, it has its own sources of noise affecting the transmission. The received signals from the channel are accepted by the telecommunications receiver before transforming the signals into output transducer compatible format ready to be sent to the information destination which might also have some contributions towards the overall performance of the received information.
Three essential parts of any telecommunications system are unavoidable. These are the transmitter, the transmission channel, and the receiver. The transmitter processes the input signal to produce a transmitted signal suited to the characteristics of the transmission channel. Therefore, signal transmission involves modulation and coding. The transmission channel is basically the electrical or rather electromagnetic medium that bridges the distance from source to destination, that is, transmitter to receiver. This may be a pair of wires, a coaxial cable, a radio wave, laser beam, or an optical fibre. Every channel experiences some amount of transmission loss which we refer as attenuation. In addition, it is known that signal power is inversely proportional to the transmission distance, that is, it can expressed as in Eq. (1.1): -
missing image fileTherefore, the receiver is dealing with the preparation for delivery to the destination. The receiver operations include amplification, demodulation, decoding, and filtering. Nevertheless, telecommunications systems will always experience attenuation, noise distortion, and interference. While attenuation reduces signal strength at the receiver, on one side, noise, distortion, and interference, on the other hand, lead to alteration of the signal shape. Even though, there might be several known sources of this, the convention is to blame them entirely on the channel.
1.5 Information, messages, and signals
Information in telecommunications signifies semantic and philosophical notions that defy precise definition while message implies physical manifestation of information as produced by the source. Signals are the detectable electrical pulses representing messages or information. They are in voltage or current form. Signal and message are sometimes used interchangeably. They are both physical embodiment of information.
Chapter Two
Signals and Spectra in Telecommunications
2.1 Introduction
Signals, meant in telecommunications, are time-varying quantities such as voltages and currents, which are used to carry information from a point to another. Although signals physically exist in the time domain, they can also be represented in frequency domain. This means that, signals can be viewed as consisting of sinusoidal components at various frequencies.
Spectrum is in short the frequency domain description of the signal. Spectral analysis is customarily done by Fourier series and Fourier Transform. The analysis makes the fundamental method of telecommunications engineering. it allows one to treat entire classes of signals that have similar properties in the frequency domain avoiding detailed time domain analysis of individual signals. The spectral analysis approach provides valuable insight for design work in telecommunications systems. Therefore, it is advised that a special attention to the frequency domain interpretation of signal properties must be given.
2.2 Types of signals in telecommunications
There are two main types of signals—the analogue signals which vary continuously with time and the digital signals which are discontinuous with time.
2.2.1. Analogue signals
Usually, analog signals represent the variation of a physical quantity. Example includes a sound wave. They are either single sine waves or a combination of them. A simple analogue signal is shown in Fig. 2.1 where the voltage quantity V varies continuously with time t.
missing image fileFig.2.1. A simple analogue signal
missing image fileFig.2.2. Analogue signal
An example depicted in Fig.2.1 shows certain nature of uniformity and predictability, but in Fig.2.2 the example of analogue signal is shown where by the quantity on the vertical line, be it current or voltage against time t, can not predicted