characteristics of radiowaves
TRANSCRIPT
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CHARACTERISTICS OF RADIO
WAVES
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Contents
Multipath characterstics of radio waves
Fading
LCR fading statistics
Doppler spread
Diversity techniques
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Radio Propagation
What is Radio?
Radio Xmitter induces E&M fields
Electrostatic field components 1/d3
Induction field components 1/d2
Radiation field components 1/d
Radiation field has E and B componentField strength at distance d = EB 1/d2
Surface area of sphere centered at transmitter
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General Intuition
Two main factors affecting signal at receiver
Distance (or delay) Path attenuation
MultipathPhase differences
Greensignal travels 1/2farther thanYellow to reach receiver, who seesblue.
For 2.4 GHz, (wavelength) =12.5cm.
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Objective
Invent models to predict what the field
looks like at the receiver.
Attenuation, absorption, reflection, diffraction...
Motion of receiver and environment
Natural and man-made radio interference...
What does the field look like at the receiver?
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Fading
Fading refers to the distortion that a carrier-
modulated telecommunication signal
experiences over certain propagation media. A fading channel is a communication
channel that experiences fading. In wireless
systems, fading is due to multipathpropagation and is sometimes referred to as
multipath induced fading.
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In wireless communications, the presence of reflectors in the environmentsurrounding a transmitter and receiver create multiple paths that atransmitted signal can traverse. As a result, the receiver sees thesuperposition of multiple copies of the transmitted signal, each traversing adifferent path.
Each signal copy will experienced differences in attenuation, delay andphase shift while travelling from the source to the receiver. This can resultin either constructive or destructive interference, amplifying orattenuating the signal power seen at the receiver.
Strong destructive interference is frequently referred to as a deep fadeandmay result in temporary failure of communication due to a severe drop in
the channel signal-to-noise ratio
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Fading channel models are often used to model theeffects of electromagnetic transmission ofinformation over the air in cellular networks and
broadcast communication. Fading channel models are also used in underwater
acoustic communications to model the distortioncaused by the water.
Mathematically, fading is usually modeled as a time-varying random change in the amplitude and phase ofthe transmitted signal.
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Types of Fading
Slow Fading
Fast Fading
The terms slowand fastfading refer to the rate atwhich the magnitude and phase change imposed by
the channel on the signal changes.
The coherence timeis a measure of the minimum
time required for the magnitude change of the
channel to become decorrelated from its previous
value.
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Slow fading
Slow fadingarises when the coherence time of the channel islarge relative to the delay constraint of the channel. In thisregime, the amplitude and phase change imposed by the
channel can be considered roughly constant over the period ofuse.
Slow fading can be caused by events such as shadowing,where a large obstruction such as a hill or large buildingobscures the main signal path between the transmitter and the
receiver. The amplitude change caused by shadowing is often modeled
using a log-normal distribution with a standard deviationaccording to the Log Distance Path Loss Model
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Flat vs. Frequency-selective
Fading
In flat fading, the coherence bandwidth of the
channel is larger than the bandwidth of the signal.
Therefore, all frequency components of the signal
will experience the same magnitude of fading.
In frequency-selective fading, the coherence
bandwidth of the channel is smaller than the
bandwidth of the signal. Different frequencycomponents of the signal therefore experience
decorrelated fading.
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In a frequency-selective fading channel, sincedifferent frequency components of the signal areaffected independently, it is highly unlikely that all
parts of the signal will be simultaneously affected bya deep fade.
Certain modulation schemes such as OFDM andCDMA are well-suited to employing frequencydiversity to provide robustness to fading.
Frequency-selective fading channels are alsodispersive, in that the signal energy associated witheach symbol is spread out in time.
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Mitigation
Fundamentally, fading causes poor performance intraditional communication systems because thequality of the communications link depends on a
single path or channel, and due to fading there is asignificant probability that the channel willexperience a deep fade.
The probability of experiencing a fade (and
associated bit errors as the signal-to-noise ratio drops)on the channel becomes the limiting factor in thelink's performance.
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The effects of fading can be combated by using
diversity to transmit the signal over multiple channels
that experience independent fading and coherently
combining them at the receiver.
The probability of experiencing a fade in this
composite channel is then proportional to the
probability that all the component channelssimultaneously experience a fade, a much more
unlikely event.
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How to overcome fading?
Common techniques used to overcome signal
fading include:
Diversity reception and transmission
OFDM
Rake receivers
Spacetime codes
MIMO
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Diversity Techniques:
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In telecommunications, a diversity scheme refers to a method forimproving the reliability of a message signal by utilizing two or morecommunication channels with different characteristics.
Diversity plays an important role in combating fading and co-channelinterference and avoiding error bursts.
It is based on the fact that individual channels experience different levels offading and interference.
Multiple versions of the same signal may be transmitted and/or receivedand combined in the receiver. Alternatively, a redundant forward errorcorrection code may be added and different parts of the messagetransmitted over different channels.
Diversity techniques may exploit the multipath propagation, resulting in adiversity gain, often measured in decibels.
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Classes of Diversity Schemes
Time diversity: Multiple versions of the same signal aretransmitted at different time instants. Alternatively, aredundant forward error correction code is added and the
message is spread in time by means of bit-interleaving beforeit is transmitted. Thus, error bursts are avoided, whichsimplifies the error correction.
Frequency diversity: The signal is transferred using severalfrequency channels or spread over a wide spectrum that is
affected by frequency-selective fading. Examples are: OFDM modulation in combination with subcarrier interleaving and
forward error correction
Spread spectrum, for example frequency hopping or DS-CDMA.
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Space diversity: The signal is transferred over several differentpropagation paths. In the case of wired transmission, this can be achievedby transmitting via multiple wires. In the case of wireless transmission, itcan be achieved by antenna diversity using multiple transmitter antennas(transmit diversity) and/or multiple receiving antennas (diversity
reception). In the latter case, a diversity combining technique is appliedbefore further signal processing takes place. If the antennas are at fardistance, for example at different cellular base station sites or WLANaccess points, this is called macrodiversity). If the antennas are at a distancein the order of one wavelength, this is called microdiversity. A specialcase is phased antenna arrays, which also can be utilized for beamforming,
MIMO channels and Space
time coding (STC). Polarisation diversity: Multiple versions of a signal are transmitted andreceived via antennas with different polarization. A diversity combiningtechnique is applied on the receiver side.
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Multiuser diversity: Multiuser diversity is obtained byopportunistic user scheduling at either the transmitter or thereceiver. Opportunistic user scheduling is as follows that thetransmit selects the best user among candidate receivers
according to qualities of each channel between the transmitand each receiver. In FDD systems, a receiver must feed backthe channel quality information to the transmitter with thelimited level of resolution.
Antenna diversity: transmitted along different propagation
paths. Cooperative diversity: enables to achieve the Antenna
diversity gain by the use of the cooperation of distributedantennas belonging to each node.
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LCR fading Statistics:
Rayleigh fading is a statistical model for the effect of a propagationenvironment on a radio signal, such as that used by wireless devices.
It assumes that the magnitude of a signal that has passed through such atransmission medium (also called a communications channel) will varyrandomly, or fade, according to a Rayleigh distribution the radialcomponent of the sum of two uncorrelated Gaussian random variables.
It is a reasonable model for tropospheric and ionospheric signalpropagation as well as the effect of heavily built-up urban environments onradio signals.
Rayleigh fading is most applicable when there is no dominant propagationalong a line of sight between the transmitter and receiver.
If there is a dominant line of sight, Rician fading may be more applicable.
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The model
Rayleigh fading is a reasonable model when there are many objects in theenvironment that scatter the radio signal before it arrives at the receiver.The central limit theorem holds that, if there is sufficiently much scatter,the channel impulse response will be well-modelled as a Gaussian processirrespective of the distribution of the individual components.
If there is no dominant component to the scatter, then such a process willhave zero mean and phase evenly distributed between 0 and 2radians.
The envelope of the channel response will therefore be Rayleighdistributed. Calling this random variable R, it will have a probabilitydensity function where =E(R2).
Often, the gain and phase elements of a channel's distortion areconveniently represented as a complex number. In this case, Rayleighfading is exhibited by the assumption that the real and imaginary parts ofthe response are modelled by independent and identically distributed zero-mean Gaussian processes so that the amplitude of the response is the sumof two such processes.
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Applicability
Densely-built Manhattan has been shown to approach a Rayleigh fading environment.
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One second of Rayleigh fading with a maximum Doppler shiftof 10Hz.
The requirement that there be many scatterers present means
that Rayleigh fading can be a useful model in heavily built-upcity centres where there is no line of sight between thetransmitter and receiver and many buildings and other objectsattenuate, reflect, refract and diffract the signal.
Rayleigh fading is a small-scale effect. There will be bulk
properties of the environment such as path loss and shadowingupon which the fading is superimposed.
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Doppler power spectral density
The normalized Doppler power spectrum of Rayleigh fading with amaximum Doppler shift of 10Hz.
The Doppler power spectral density of a fading channel describes howmuch spectral broadening it causes. This shows how a pure frequency e.g. a
pure sinusoid, which is an impulse in the frequency domain is spread outacross frequency when it passes through the channel. It is the Fouriertransform of the time-autocorrelation function. For Rayleigh fading with avertical receive antenna with equal sensitivity in all directions, this has
been shown to be where is the frequency shift relative to the carrierfrequency. This equation is only valid for values of between ; the spectrumis zero outside this range.
This spectrum is shown in the figure for a maximum Doppler shift of 10Hz. The 'bowl shape' or 'bathtub shape' is the classic form of this dopplerspectrum.
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Fading Models
Nakagami fading
Rayleigh fading
Rician fading
Dispersive fading models, with several echoes, each exposedto different delay, gain and phase shift, often constant.Thisresults in frequency selective fading and inter-symbolinterference. The gains may be Rayleigh or Riciandistributed.The echoes may also be exposed to doppler-shift,
resulting in a time varying channel model.
Log-normal shadow fading