Wireless Channel Models for Over-The-Sea Communication: a Comparative Study

Total Page:16

File Type:pdf, Size:1020Kb

Wireless Channel Models for Over-The-Sea Communication: a Comparative Study applied sciences Review Wireless Channel Models for Over-the-Sea Communication: A Comparative Study Arafat Habib and Sangman Moh * Department of Computer Engineering, Chosun University, 309 Pilmun-daero, Dong-gu, Gwangju 61452, Korea; [email protected] * Correspondence: [email protected]; Tel.: +82-62-230-6032 Received: 18 December 2018; Accepted: 21 January 2019; Published: 28 January 2019 Abstract: Over the past few years, the modeling of wireless channels for radio wave propagation over the sea surface has drawn the attention of many researchers. Channel models are designed and implemented for different frequencies and communication scenarios. There are models that emphasize the influence of the height of the evaporation duct in the marine environment, as well as models that deal with different frequencies (2.5, 5, and 10 GHz, etc.) or the impact of various parameters, such as antenna height. Despite the increasing literature on channel modeling for the over-the-sea marine environment, there is no comprehensive study that focuses on key concepts that need to be considered when developing a new channel model, characteristics of channel models, and comparative analysis of existing works along with their possible improvements and future applications. In this paper, channel models are discussed in relation to their operational principles and key features, and they are compared with each other in terms of major characteristics and pros and cons. Some important insights on the design and implementation of a channel model, possible applications and improvements, and challenging issues and research directions are also discussed. The main goal of this paper is to present a comparative study of over-the-sea channel models for radio wave propagation, so that it can help engineers and researchers in this field to choose or design the appropriate channel models based on their applications, classification, features, advantages, and limitations. Keywords: over-the-sea communication; radio wave propagation; wireless channel; channel model; wireless channel characterization 1. Introduction Wireless channels for the radio wave propagation over the sea surface are different from the usual channels used in ground-to-ground wireless communication due to the unique nature of the marine environment. For example, neither the refraction of wave propagation, nor the effect of the evaporation duct is present in the ground-to-ground scenarios. Existing approaches to the modeling of over-the-sea channels vary with frequencies, technology used, and implementation scenario. While some approaches used millimeter waves and wide band technology, others used frequencies such as 1.9, 2, and 10 GHz, etc. Some approaches considered vessel-to-vessel mobile communication on the sea. Ship-to-ship and ship-to-shore wireless communication scenarios were also considered and implemented. So far, there are two preliminary minor approaches [1,2], that briefly describe a few models of channels for over-the-sea communication; however, with inadequate analysis and limited discussion on various models, applications, future improvements, and research directions. Readers can prompt references [1,2] for further details. Typically, the over-the-sea wave propagation environment can be divided into two types: One is “near the sea surface” and the other is “hundreds of meters above Appl. Sci. 2019, 9, 443; doi:10.3390/app9030443 www.mdpi.com/journal/applsci Appl. Sci. 2019, 8, x FOR PEER REVIEW 2 of 32 Appl. Sci. 2019, 9, 443 2 of 32 Appl. Sci. 2019, 8, x FOR PEER REVIEW 2 of 32 sea surface or higher.” In the near the sea surface environment, the transceiver platform remains close seatothe the surface sea sea surface surface.or higher.” or higher.” For In example, the In near the nearthecommunication sea the surface sea surface environment, between environment, a ship the transceiverand the a transceiver base platform station platform isremains maintained remains close toashore.close the tosea Figure the surface. sea 1 surface. shows For suchexample, For example,a scenario communication communication when communication between between a shipoccurs a ship and near and a baseathe base sea station station surface. is is maintained maintained ashore. Figure 1 shows such a scenario when communication occurs near the sea surface. ashore. Figure1 shows such a scenario when communication occurs near the sea surface. Figure 1. Radio wave propagation near the sea surface. FigureFigure 1. 1. RadioRadio wave wave propagation propagation near near the the sea sea surface. surface. Studies conducted in [3] show that for modeling channels in such an environment, special attentionStudiesStudies is paid conducted conducted to refraction in in [3] [3 ]caused show show thatby that a forpossible for modeling modeling evaporation channels channels duct, in in suchas such well an an as environment, environment, a direct ray andspecial special sea attentionsurface-reflectedattention is is paid paid toray. to refraction refraction An evaporation caused caused byduct by a a possibleaffects possible frequencies evaporation evaporation around duct, duct, 1as asGHz well well and as as ahigher. a direct direct Inray ray principle, and and sea sea surface-reflectedansurface-reflected evaporation duct ray. ray. isAn An formed evaporation evaporation due to duct duct variation affects affects infrequencies frequencies humidity aroundacross around the1 1 GHz GHz air and and higher.sea higher. boundary. In In principle, principle, This anphenomenonan evaporation evaporation is ductrather duct is isformeddominant formed due duein to all variation to kinds variation of in seas. humidity in humidityFor example, across across the the air theevaporation and air sea and boundary. seaduct boundary. remains This phenomenonprevalentThis phenomenon in equatorial is rather is rather dominantand dominanttropical in allsea in kinds allregions kinds of inseas. of 90% seas. For of For example,cases. example, Therefore, the the evaporation evaporation to design duct ductany remainschannel remains prevalentmodelprevalent for inthe in equatorial equatorial near-the-sea and and environment, tropical tropical sea sea regionscareful regions consin in 90% 90%iderations of cases. should Therefore, Therefore, be given to to design designto the effectsany any channel channel of the modelevaporationmodel for for the the duct. near-the-sea near-the-sea Moreover, environment, environment, there may be careful careful possible cons considerations communicationiderations should should scenarios be be given given where to to the the effects propagation effects of of the the evaporationdistanceevaporation exceeds duct. duct. 3000 Moreover, Moreover, m. In this there there case, may may a two-ray be be possible possible propagation communication communication model ofscenarios scenarios a direct where ray where and the the a reflectedpropagation propagation ray distancecannotdistance predict exceeds exceeds the 3000 3000 interference m. m. In In this this zeroes. case, case, a aTo two-ray two-ray deal with pr propagationopagation this, one shouldmodel model ofconsider of a a direct direct a ray three-ray ray and and a a reflectedpropagation reflected ray ray cannotmodelcannot consistingpredict predict the the of interference interference a direct ray, zeroes. zeroes. a reflected To To deal deal ray with with from this, this, the one one sea should should surface, consider consider and a refracteda a three-ray three-ray ray propagation propagation caused by modelthemodel evaporation consisting consisting duct. of a directTwo- ray,andray, a three-raya reflected reflected models ray ray from from of the wavethe sea sea propagation surface, surface, and and awill refracteda refractedbe further ray ray causeddiscussed caused by thebyin theevaporation upcomingevaporation duct. sections duct. Two- Two- of andthe and paper. three-ray three-ray models models of waveof wave propagation propagation will will be furtherbe further discussed discussed in thein theupcoming upcomingIn a scenario sections sections where of theof wireless the paper. paper. transmission takes place hundreds of meters above the sea surface, the transceiverInIn a a scenario scenario is wheredeployed where wireless wireless on an transmission transmission airborne device takes takes or pl place aceplatforms, hundreds hundreds such of of metersas meters unmanned above above the theaerial sea sea vehiclessurface, surface, the(UAVs)the transceiver transceiver or any otheris is deployed deployed aircrafts. on on It an anis airbornepossible airborne fordevice device the elevatedor or platforms, platforms, duct suchin such the as astroposphere unmanned unmanned regionaerial aerial tovehicles vehicles cause (UAVs)an(UAVs) attenuation or any otherotherof the aircrafts.aircrafts. signal It Itand isis possiblepossible affect for forair-to-ground the the elevated elevated ductcommunication duct in in the the troposphere troposphere through region regionthe tosea to cause causewave an anpropagation.attenuation attenuation of The theof elevated signalthe signal and duct affect andis an air-to-ground affectatmospheric air-to-ground communicationcanal that communication consists through of a layer thethrough seawith wave highly the propagation. sea dense wave air propagation.[4].The It elevated starts and The duct remains elevated is an atmospheric at highduct altitudesis an canal atmospheric and that mainly consists canal affects of that a layer transmission consists with of highly a withlayer
Recommended publications
  • Path Loss, Delay Spread, and Outage Models As Functions of Antenna Height for Microcellular System Design
    IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, VOL. 43, NO. 3, AUGUST 1994 487 Path Loss, Delay Spread, and Outage Models as Functions of Antenna Height for Microcellular System Design Martin J. Feuerstein, Kenneth L. Blackard, Member, IEEE, Theodore S. Rappaport, Senior Member, IEEE, Scott Y. Seidel, Member, IEEE, and Howard H. Xia Abstract-This paper presents results of wide-band path loss be encountered in a microcellular system using lamp-post- and delay spread measurements for five representative microcel- mounted base stations at street comers, Measurement locations Mar environments in the San Francisco Bay area at 1900 MHz. were chosen to coincide with places where microcellular Measurements were made with a wide-band channel sounder using a 100-ns probing pulse. Base station antenna heights of systems will likely be deployed in urban and suburban areas. 3.7 m, 8.5 m, and 13.3 m were tested with a mobile receiver The power delay profiles recorded at each receiver lo- antenna height of 1.7 m to emulate a typical microcellular cation were used to calculate path loss and delay spread. scenario. The results presented in this paper provide insight into Path loss and delay spread are two important methods of the satistical distributions of measured path loss by showing the characterizing channel behavior in a way that can be related validity of a double regression model with a break point at a distance that has first Fresnel zone clearance for line-of-sight to system performance measures such as bit error rate [4] topographies. The variation of delay spread as a function of and outage probability [7].
    [Show full text]
  • Kindergarten High Frequency Word List
    Kindergarten High Frequency Word List The following 40 words are the high frequency Kindergarten words. They are divided according to their probability of occurring in the corresponding DRA text levels. However, many of these words can occur throughout all levels. The goal is for all students to read, write, and use these words correctly by the end of Kindergarten. Level 1 Level 2 Level 3 Level 4 Level 5 a me to yes big I go in cat for is at on dog he the you like up she mom we my with this dad it by said look can no love play went see am do was and C:\Users\metcalfr\Downloads\K_5_High_Frequency_Word_Lists (2).docx October 2014 First Grade High Frequency Word list The goal is for all students to read, write, and use these words (and words from the kindergarten word list) correctly by the end of first grade. after have please all her saw an here should are him so as his some be I’m thank because if that but into them came just then come know they could little there day make us did many very end new want from not were get of what goes one when going or where good our who had out will has over would your C:\Users\metcalfr\Downloads\K_5_High_Frequency_Word_Lists (2).docx October 2014 Second Grade High Frequency Word List The goal is for all students to read, write, and use these words (and the words from preceding grade level word lists) correctly by the end of second grade.
    [Show full text]
  • Vision-Based Mobile Free-Space Optical Communications Kyle Cavorley, Wayne Chang, Jonathan Giordano, Taichi Hirao Advisor: Prof
    Vision-Based Mobile Free-Space Optical Communications Kyle Cavorley, Wayne Chang, Jonathan Giordano, Taichi Hirao Advisor: Prof. Daut Abstract Methodology The implementation of a free-space optical (FSO) communication system capable of interfacing with moving receivers such as unmanned ground or aerial vehicles. Two way communication Inexpensive laser diodes are used to transmit data at rates of up to 1 Mbps. A computer vision and tracking system controls a pan-tilt platform for target Transmit side Receive side acquisition and tracking. Complex package components, suchs as a laser driver and photo receiver, are avoided when possible to study the design of low-level system components. A two way communication system is made possible utilizing a reflective optical chopper (ROC) at the receiver end. Motivations and Objectives Motivations: -High power efficiency with high throughput Fig. 2: Photodiode Amplifier and Comparator Circuit. Fig. 4: Laser Diode Driver Circuit. -Increased security Objectives: -Construct optical communication link capable of 1 Mbps at thirty feet range -Form and maintain two way optical communication channel -Build computer vision tracking system and platform Fig. 6: Boston Micromachines Reflective Optical Chopper (ROC); used in two-way communication Fig. 3: Output Response of photodiode Fig. 5: Schmitt Trigger Circuit. Only one end of the communication link amplifier/comparator. requires a visual tracking/laser targeting system. Results ❑ 2 Mhz signal successfully transmitted 14 feet using 5 mW 670 nm laser. ❑ AD8030 Op-amp used to amplify photodiode response signal from a range [60 mV, 1 V] to 5V before entering comparator that generates a TTL output. Fig. 1: Vision Based FSO Communication Block Diagram.
    [Show full text]
  • Unit 7: Choosing Communication Channels
    UNIT 7: CHOOSING COMMUNICATION CHANNELS Unit 7 highlights the importance of selecting an appropriate channel mix for a communication response and describes five categories of communication channels: mass media, mid media, print media, social and digital media and interpersonal communication (IPC). For each of these channels, advantages and disadvantages have been listed, as well as situations in which different channels may be used. Although this Unit has attempted to differentiate the channels and their uses for simplicity, there is recognition that channels frequently overlap and may be effective for achieving similar objectives. This is why the match between channel, audience and communication objective is important. This unit provides some tools to help assess available and functioning channels during an emergency, as well as those that are more appropriate for reaching specific audience segments. Once you have completed this unit, you will have the following tools to support the development of your SBCC response: • Worksheet 7.1: Assessing Available Communication Channels • Worksheet 7.2: Matching Communication Channels to Primary and Influencing Audiences What Is a Communication Channel? A communication channel is a medium or method used to deliver a message to the intended audience. A variety of communication channels exist, and examples include: • Mass media such as television, radio (including community radio) and newspapers • Mid media activities, also known as traditional or folk media such as participatory theater, public talks, announcements through megaphones and community-based surveillance • Print media, such as posters, flyers and leaflets • Social and digital media such as mobile phones, applications and social media • IPC, such as door-to-door visits, phone lines and discussion groups Different channels are appropriate for different audiences, and the choice of channel will depend on the audience being targeted, the messages being delivered and the context of the emergency.
    [Show full text]
  • Multi-Antenna Non-Line-Of-Sight Identification Techniques for Target Localization in Mobile Ad-Hoc Networks
    Michigan Technological University Digital Commons @ Michigan Tech Dissertations, Master's Theses and Master's Dissertations, Master's Theses and Master's Reports - Open Reports 2011 Multi-antenna non-line-of-sight identification techniques for target localization in mobile ad-hoc networks Wenjie Xu Michigan Technological University Follow this and additional works at: https://digitalcommons.mtu.edu/etds Part of the Electrical and Computer Engineering Commons Copyright 2011 Wenjie Xu Recommended Citation Xu, Wenjie, "Multi-antenna non-line-of-sight identification techniques for target localization in mobile ad- hoc networks", Dissertation, Michigan Technological University, 2011. https://doi.org/10.37099/mtu.dc.etds/58 Follow this and additional works at: https://digitalcommons.mtu.edu/etds Part of the Electrical and Computer Engineering Commons MULTI-ANTENNA NON-LINE-OF-SIGHT IDENTIFICATION TECHNIQUES FOR TARGET LOCALIZATION IN MOBILE AD-HOC NETWORKS By Wenjie Xu A DISSERTATION Submitted in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY (Electrical Engineering) MICHIGAN TECHNOLOGICAL UNIVERSITY 2011 c 2011 Wenjie Xu This dissertation, "Multi-Antenna Non-Line-Of-Sight Identification Techniques for Target Localization in Mobile Ad-hoc Networks," is hereby approved in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY IN THE FIELD OF ELEC- TRICAL ENGINEERING. Department of Electrical and Computer Engineering Signatures: Dissertation Advisor Dr. Seyed A. (Reza) Zekavat Committee Member Dr. Daniel R. Fuhrmann Committee Member Dr. Zhi (Gerry) Tian Committee Member Dr. Vladimir D. Tonchev Department Chair Dr. Daniel R. Fuhrmann Date Contents List of Figures ..................................... vii List of Tables ...................................... xi Acknowledgments ...................................xiii Abstract ........................................ xv 1 Introduction ...................................
    [Show full text]
  • High Frequency Communications – an Introductory Overview
    High Frequency Communications – An Introductory Overview - Who, What, and Why? 13 August, 2012 Abstract: Over the past 60+ years the use and interest in the High Frequency (HF -> covers 1.8 – 30 MHz) band as a means to provide reliable global communications has come and gone based on the wide availability of the Internet, SATCOM communications, as well as various physical factors that impact HF propagation. As such, many people have forgotten that the HF band can be used to support point to point or even networked connectivity over 10’s to 1000’s of miles using a minimal set of infrastructure. This presentation provides a brief overview of HF, HF Communications, introduces its primary capabilities and potential applications, discusses tools which can be used to predict HF system performance, discusses key challenges when implementing HF systems, introduces Automatic Link Establishment (ALE) as a means of automating many HF systems, and lastly, where HF standards and capabilities are headed. Course Level: Entry Level with some medium complexity topics Agenda • HF Communications – Quick Summary • How does HF Propagation work? • HF - Who uses it? • HF Comms Standards – ALE and Others • HF Equipment - Who Makes it? • HF Comms System Design Considerations – General HF Radio System Block Diagram – HF Noise and Link Budgets – HF Propagation Prediction Tools – HF Antennas • Communications and Other Problems with HF Solutions • Summary and Conclusion • I‟d like to learn more = “Critical Point” 15-Aug-12 I Love HF, just about On the other hand… anybody can operate it! ? ? ? ? 15-Aug-12 HF Communications – Quick pretest • How does HF Communications work? a.
    [Show full text]
  • Radio Communications in the Digital Age
    Radio Communications In the Digital Age Volume 1 HF TECHNOLOGY Edition 2 First Edition: September 1996 Second Edition: October 2005 © Harris Corporation 2005 All rights reserved Library of Congress Catalog Card Number: 96-94476 Harris Corporation, RF Communications Division Radio Communications in the Digital Age Volume One: HF Technology, Edition 2 Printed in USA © 10/05 R.O. 10K B1006A All Harris RF Communications products and systems included herein are registered trademarks of the Harris Corporation. TABLE OF CONTENTS INTRODUCTION...............................................................................1 CHAPTER 1 PRINCIPLES OF RADIO COMMUNICATIONS .....................................6 CHAPTER 2 THE IONOSPHERE AND HF RADIO PROPAGATION..........................16 CHAPTER 3 ELEMENTS IN AN HF RADIO ..........................................................24 CHAPTER 4 NOISE AND INTERFERENCE............................................................36 CHAPTER 5 HF MODEMS .................................................................................40 CHAPTER 6 AUTOMATIC LINK ESTABLISHMENT (ALE) TECHNOLOGY...............48 CHAPTER 7 DIGITAL VOICE ..............................................................................55 CHAPTER 8 DATA SYSTEMS .............................................................................59 CHAPTER 9 SECURING COMMUNICATIONS.....................................................71 CHAPTER 10 FUTURE DIRECTIONS .....................................................................77 APPENDIX A STANDARDS
    [Show full text]
  • Analysis of Outdoor and Indoor Propagation at 15 Ghz and Millimeter Wave Frequencies in Microcellular Environment
    Advances in Science, Technology and Engineering Systems Journal Vol. 3, No. 1, 160-167 (2018) ASTESJ www.astesj.com ISSN: 2415-6698 Special issue on Advancement in Engineering Technology Analysis of Outdoor and Indoor Propagation at 15 GHz and Millimeter Wave Frequencies in Microcellular Environment Muhammad Usman Sheikh*, Jukka Lempiainen Tampere University of Technology, Department of Electronics and Communications Engineering, Finland. A R T I C L E I N F O A B S T R A C T Article history: The main target of this article is to perform the multidimensional analysis of multipath Received: 26 November, 2017 propagation in an indoor and outdoor environment at higher frequencies i.e. 15 GHz, 28 Accepted: 07 January, 2018 GHz and 60 GHz, using “sAGA” a 3D ray tracing tool. A real world outdoor Line of Sight Online: 30 January, 2018 (LOS) microcellular environment from the Yokusuka city of Japan is considered for the analysis. The simulation data acquired from the 3D ray tracing tool includes the received Keywords: signal strength, power angular spectrum and the power delay profile. The different Multipath propagation propagation mechanisms were closely analyzed. The simulation results show the difference Microcellular of propagation in indoor and outdoor environment at higher frequencies and draw a special 3D ray tracing attention on the impact of diffuse scattering at 28 GHz and 60 GHz. In a simple outdoor System performance microcellular environment with a valid LOS link between the transmitter and a receiver, 5G the mean received signal at 28 GHz and 60 GHz was found around 5.7 dB and 13 dB Millimeter wave frequencies inferior in comparison with signal level at 15 GHz.
    [Show full text]
  • Numerical Modelling of VLF Radio Wave Propagation Through Earth-Ionosphere Waveguide and Its Application to Sudden Ionospheric Disturbances
    Numerical Modelling of VLF Radio Wave Propagation through Earth-Ionosphere Waveguide and its application to Sudden Ionospheric istur!ances Thesis submitted for the degree of octor of Philosoph# (Science% in Ph#sics (Theoretical) of the &niversity of 'alcutta Su(a# Pal Ma#8, )*+, CERTIFICATE FROM THE SUPERVISOR This is to certify that the thesis entitled "Numerical Modelling of VLF Radio Wave Propagation through Earth-Ionosphere waveguide and its application to !udden Ionospheric Distur#ances", submitted by Mr. Sujay Pal who got his name registered on $%&$'&%$(( for the award of Ph.D. )!cience* degree of the Universit, of Calcutta. absolutely based upon his own work under the supervision of Professor !andip K. Cha0ra#arti and that neither this thesis nor any part of it has been submitted for any degree/diploma or any other academic award anywhere before. Prof. !andip K. -ha0ra#arti Senior Professor & Head Department of #strophysics & Cosmology S. N. Bose National Centre for Basic Sciences JD Block, Sector())), Salt *ake, +olkata 7---./, India TO My PARENTS i ABSTRACT Very Low Frequency (VLF) radio waves with frequency in the range 3 30 kHz ∼ propagate within the Earth-ionosphere waveguide (EIWG) for#ed $y the Earth as the %ower $oundary and the %ower ionosphere (50 100 k#) as the upper $oundary ∼ of the waveguide. These waves are generated from #an-#ade transmitters as wel% as fro# lightnings or other natura% sources( *tudy of these waves is very i#portant since they are the only tool to diagnose the %ower ionosphere( Lower part of the Earth+s ionosphere ranging &0 90 km is known as the -- ∼ region of the ionosphere( *olar Lyman-α radiation at '.'./ n# and EUV radiation in 80 '''.& n# are #ain%y responsib%e for for#ing the --region through the ∼ ionization of 123N 23O 2 during day time( The VLF propagation takes p%ace $etween the Earth+s surface and the --region at the day time.
    [Show full text]
  • Fresnel Diffraction.Nb Optics 505 - James C
    Fresnel Diffraction.nb Optics 505 - James C. Wyant 1 13 Fresnel Diffraction In this section we will look at the Fresnel diffraction for both circular apertures and rectangular apertures. To help our physical understanding we will begin our discussion by describing Fresnel zones. 13.1 Fresnel Zones In the study of Fresnel diffraction it is convenient to divide the aperture into regions called Fresnel zones. Figure 1 shows a point source, S, illuminating an aperture a distance z1away. The observation point, P, is a distance to the right of the aperture. Let the line SP be normal to the plane containing the aperture. Then we can write S r1 Q ρ z1 r2 z2 P Fig. 1. Spherical wave illuminating aperture. !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! 2 2 2 2 SQP = r1 + r2 = z1 +r + z2 +r 1 2 1 1 = z1 + z2 + þþþþ r J þþþþþþþ + þþþþþþþN + 2 z1 z2 The aperture can be divided into regions bounded by concentric circles r = constant defined such that r1 + r2 differ by l 2 in going from one boundary to the next. These regions are called Fresnel zones or half-period zones. If z1and z2 are sufficiently large compared to the size of the aperture the higher order terms of the expan- sion can be neglected to yield the following result. l 1 2 1 1 n þþþþ = þþþþ rn J þþþþþþþ + þþþþþþþN 2 2 z1 z2 Fresnel Diffraction.nb Optics 505 - James C. Wyant 2 Solving for rn, the radius of the nth Fresnel zone, yields !!!!!!!!!!! !!!!!!!! !!!!!!!!!!! rn = n l Lorr1 = l L, r2 = 2 l L, , where (1) 1 L = þþþþþþþþþþþþþþþþþþþþ þþþþþ1 + þþþþþ1 z1 z2 Figure 2 shows a drawing of Fresnel zones where every other zone is made dark.
    [Show full text]
  • Rayleigh Fading Multi-Antenna Channels
    EURASIP Journal on Applied Signal Processing 2002:3, 316–329 c 2002 Hindawi Publishing Corporation Rayleigh Fading Multi-Antenna Channels Alex Grant Institute for Telecommunications Research, University of South Australia, Mawson Lakes Boulevard, Mawson Lakes, SA 5095, Australia Email: [email protected] Received 29 May 2001 Information theoretic properties of flat fading channels with multiple antennas are investigated. Perfect channel knowledge at the receiver is assumed. Expressions for maximum information rates and outage probabilities are derived. The advantages of transmitter channel knowledge are determined and a critical threshold is found beyond which such channel knowledge gains very little. Asymptotic expressions for the error exponent are found. For the case of transmit diversity closed form expressions for the error exponent and cutoff rate are given. The use of orthogonal modulating signals is shown to be asymptotically optimal in terms of information rate. Keywords and phrases: space-time channels, transmit diversity, information theory, error exponents. 1. INTRODUCTION receivers such as the decorrelator and MMSE filter [10]; (b) mitigation of fading effects by averaging over the spatial Wireless access to data networks such as the Internet is ex- properties of the fading process. This is a dual of interleav- pected to be an area of rapid growth for mobile communi- ing techniques which average over the temporal properties cations. High user densities will require very high speed low of the fading process; (c) increased link margins by simply delay links in order to support emerging Internet applica- collecting more of the transmitted energy at the receiver. tions such as voice and video.
    [Show full text]
  • Fading Channels: Capacity, BER and Diversity
    Fading Channels: Capacity, BER and Diversity Master Universitario en Ingenier´ıade Telecomunicaci´on I. Santamar´ıa Universidad de Cantabria Introduction Capacity BER Diversity Conclusions Contents Introduction Capacity BER Diversity Conclusions Fading Channels: Capacity, BER and Diversity 0/48 Introduction Capacity BER Diversity Conclusions Introduction I We have seen that the randomness of signal attenuation (fading) is the main challenge of wireless communication systems I In this lecture, we will discuss how fading affects 1. The capacity of the channel 2. The Bit Error Rate (BER) I We will also study how this channel randomness can be used or exploited to improve performance diversity ! Fading Channels: Capacity, BER and Diversity 1/48 Introduction Capacity BER Diversity Conclusions General communication system model sˆ[n] bˆ[n] b[n] s[n] Channel Channel Source Modulator Channel ⊕ Demod. Encoder Decoder Noise I The channel encoder (FEC, convolutional, turbo, LDPC ...) adds redundancy to protect the source against errors introduced by the channel I The capacity depends on the fading model of the channel (constant channel, ergodic/block fading), as well as on the channel state information (CSI) available at the Tx/Rx Let us start reviewing the Additive White Gaussian Noise (AWGN) channel: no fading Fading Channels: Capacity, BER and Diversity 2/48 Introduction Capacity BER Diversity Conclusions AWGN Channel I Let us consider a discrete-time AWGN channel y[n] = hs[n] + r[n] where r[n] is the additive white Gaussian noise, s[n] is the
    [Show full text]