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    Presented By :

    Er. Rajesh KumarINDIA

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    FADING

    This is about the phenomenon ofloss of signal in telecommunications.

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    INDEX

    SMALL SCALE FADING

    1. Small scale multipath propagation2. Multipath fading channel

    FACTORS INFLUENCING SMALL SCALE FADING

    DOPPLER SHIFT

    TYPES OF SMALL SCALE FADING1. Fading effect due to multipath time delay spread Flat Fading Frequency Selective Fading

    2. Fading effect due to Doppler Spread Fast Fading Slow Fading

    STATISTICAL MODELS FOR MULTIPATH FADINGCHANNELS1. Clarkes model2. Two ray Rayleigh Fading model3. Saleh and Valenzuele Indoor statistical model4. SIRCIM AND SMRCIM Indoor and Outdoor statistical model

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    FADING

    Selective fading causes a cloudy pattern to appear on an FFTdisplay.

    Fading(or fading channels) refers to mathematical modelsfor the distortion that a carrier-modulated telecommunicationsignal experiences overcertain propagation media. Short-termfading, also known as multipath induced fading, is due tomultipath propagation. Fading results from thesuperposition of transmitted signals that have experienceddifferences in attenuation, delay and phase shift whiletraveling from the source to the receiver. It may also becaused by attenuation of a single signal.

    The most common types of fading, known as "slow fading"and "fast fading", as they apply to a mobile radioenvironment, are explained below.

    http://en.wikipedia.org/wiki/FFThttp://en.wikipedia.org/wiki/Multipathhttp://en.wikipedia.org/wiki/Multipathhttp://en.wikipedia.org/wiki/Multipathhttp://en.wikipedia.org/wiki/Superpositionhttp://en.wikipedia.org/wiki/Superpositionhttp://en.wikipedia.org/wiki/Superpositionhttp://en.wikipedia.org/wiki/Attenuationhttp://en.wikipedia.org/wiki/Delayhttp://en.wikipedia.org/wiki/Phase_shifthttp://en.wikipedia.org/wiki/Attenuationhttp://en.wikipedia.org/wiki/Delayhttp://en.wikipedia.org/wiki/Phase_shifthttp://en.wikipedia.org/wiki/Phase_shifthttp://en.wikipedia.org/wiki/Phase_shifthttp://en.wikipedia.org/wiki/Phase_shifthttp://en.wikipedia.org/wiki/Delayhttp://en.wikipedia.org/wiki/Attenuationhttp://en.wikipedia.org/wiki/Superpositionhttp://en.wikipedia.org/wiki/Multipathhttp://en.wikipedia.org/wiki/Multipathhttp://en.wikipedia.org/wiki/FFT
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    Fading refers to the time variation of the

    received signal power caused by changes in thetransmission medium or path.

    Small scale fading or simply fading is used todescribe the rapid fluctuations of the amplitude,phases or multipath delays of a radio signal overa short period of time or travel distance, so thatlarge scale path loss effects may be ignored.Fading is caused by interference between two ormore versions of the transmitted signal whicharrives at the receiver at slightly different times.

    These waves, called multipath waves, combine atthe receiver antenna to give a resultant signal,which can vary widely in amplitude and phase,depending on the distribution of the intensity andrelative propagation time of the waves and thebandwidth of the transmitted signal.

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    EXAMPLE

    For example, consider the common experience ofstopping at traffic lights and hearing a lot ofstatic on your FM broadcast radio, which isimmediately corrected if you move less than a

    meter. Cellular phones also exhibit similarmomentary fades. The reason for these losses ofsignal is the destructive interference that multiplereflected copies of the signal make with itself. Tounderstand how a signal can destructively

    interfere with itself, consider the sum of twosinusoidal waveforms (which are similar tomodulated carrier signals) with different phases.

    http://en.wikipedia.org/wiki/Sinusoidalhttp://en.wikipedia.org/wiki/Sinusoidal
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    FADING IN WIRELESS COMMUNICATIONS

    In wireless communications, signal fading iscaused by multi-path effect. Multi-path effectmeans that a signal transmitted from atransmitter may have multiple copies traversingdifferent paths to reach a receiver.

    At the receiver, the received signal should be thesum of all these multi-path signals. Because thepaths traversed by these signals are different;some are longer and some are shorter.

    The one at the direction of light of signal (LOS)should be the shortest. These signals interactwith each other. If signals are in phase, theywould intensify the resultant signal; otherwise,the resultant signal is weakened due to out of

    phase. This phenomenon is called channel fading.

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    SMALL SCALE MULTIPATH PROPAGATION

    Multipath in the radio channel creates smallscale fading effects. The three mostimportant effects are :

    Rapid changes in signal strength over asmall travel distance or time interval.

    Random frequency distribution due tovarying Doppler shifts on differentmultipath signals.

    Time dispersion (Echoes) caused bymultipath propagation delays.

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    FACTORS INFLUENCING SMALL SCALE FADING

    Many physical factors in the radio propagation channel influence

    small-scale fading. These include the following :

    (1) Multipath Propagation :

    The presence of reflecting objects and scatters in the channel createsa constantly changing environment that dissipates the signal energyin amplitude, phase and time. These effects results in multipleversions of the transmitted signal that arrive at the receivingantenna, displaced with respect to one another in time and spatialorientation. The random phase and amplitude of the differentmultipath components caused fluctuations in signal strength, therebyinducing Small scale fading, Signal distortion, or both. Multipathpropagation often lengthens the time required for the base bandportion of the signal to reach the receiver which can cause signalsmearing due to inter symbol interference.

    (2) Speed of the mobile :

    The relative motion between the base station and the mobile resultsin random frequency modulation due to different Doppler Shifts oneach of the multipath components. Doppler Shift will be positive ornegative depending on whether the mobile receiver is moving

    towards or away from the base station.

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    (3) Speed of surrounding objects :

    If objects in the radio channel are in motion, they induced a time varying

    Doppler Shift on multipath components. If the surrounding objects move

    at a greater rate than the mobile, then this effect dominates the Small

    scale Fading. Otherwise, motion of surrounding objects may be ignoredand only the speed of the mobile need be considered. The coherence

    time defines the staticnessof the channel, and is directly impacted by

    the Doppler shift.

    (4) The transmission bandwidth of the signal :If the transmitted radio signal bandwidth is greater than the bandwidth

    of the multipath channel, the received signal will be distorted, but the

    received signal strength will not fade much over a local area (i.e., the

    small scale signal fading will not be significant). As will be shown, the

    bandwidth of the channel can be quantified by thecoherence bandwidth

    which is related to the specific multipath structure of the channel. The

    coherence bandwidth is a measure of the maximum frequency

    difference for which signals are still strongly correlated in amplitude. If

    the transmitted signal has a narrow bandwidth as compared to the

    channel, the amplitude of the signal change rapidly, but the signal will

    not be distorted in time.

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    DOPPLER SHIFT

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    Consider a mobile moving at aconstant velocity v, along a path

    segment having length d betweenpoints X and Y, while it receivessignals from a remote source asillustrated in Fig (1) in previous slide :

    The difference in path length traveled

    by the wave from source S to themobile at points X and Y is

    l= dcos= vtcos

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    The phase change in received signaldue to difference in path lengths istherefore,

    = 2 l = 2 v t cos

    and hence the apparent change infrequency or Doppler shift, is given

    by fd, wherefd = 1 . = v . cos

    2 t

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    TYPES OF SMALL SCALE FADING

    Fig. (2) : Types of small scale fading

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    FLAT FADING

    Flat fading, where the bandwidth ofthe signal is less than the coherencebandwidth of the channel or thedelay spreadis less than the symbolperiod.

    http://en.wikipedia.org/wiki/Coherence_bandwidthhttp://en.wikipedia.org/wiki/Coherence_bandwidthhttp://en.wikipedia.org/wiki/Delay_spreadhttp://en.wikipedia.org/wiki/Symbol_ratehttp://en.wikipedia.org/wiki/Symbol_ratehttp://en.wikipedia.org/wiki/Symbol_ratehttp://en.wikipedia.org/wiki/Symbol_ratehttp://en.wikipedia.org/wiki/Symbol_ratehttp://en.wikipedia.org/wiki/Delay_spreadhttp://en.wikipedia.org/wiki/Delay_spreadhttp://en.wikipedia.org/wiki/Delay_spreadhttp://en.wikipedia.org/wiki/Coherence_bandwidthhttp://en.wikipedia.org/wiki/Coherence_bandwidthhttp://en.wikipedia.org/wiki/Coherence_bandwidth
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    Fig. (3): Flat Fading channel characteristics

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    FREQUENCY SELECTIVE FADING

    Frequency selective fading, wherethe bandwidth of the signal is greaterthan the coherence bandwidth of thechannel or the delay spread isgreater than the symbol period.

    http://en.wikipedia.org/wiki/Frequency_selective_fadinghttp://en.wikipedia.org/wiki/Frequency_selective_fadinghttp://en.wikipedia.org/wiki/Frequency_selective_fadinghttp://en.wikipedia.org/wiki/Frequency_selective_fadinghttp://en.wikipedia.org/wiki/Frequency_selective_fadinghttp://en.wikipedia.org/wiki/Frequency_selective_fading
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    Fig. (4) : Frequency selective fading channel characteristics

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    FADING EFFECT DUE TO DOPPLER SPREAD

    Due to Doppler Effect, if a transmitter ismoving away from a receiver, thefrequency of the received signal is lowerthan the one sent out from the transmitter;otherwise, the frequency is increased.

    In wireless communications, there aremany factors that can cause relativemovement between a transmitter and areceiver.

    It can be the movement of a mobile suchas a cell phone. It can be the movement of some

    background objectives, which causes thechange of path length between the

    transmitter and the receiver.

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    FASTFADING

    Fast Fading is a kind of fading occurring with small

    movements of a mobile or obstacle.

    Depending upon how rapidly the transmitted base band

    signal changes as compared to the rate of change of the

    channel. The channel may be classified either as a Flat fading or

    Slow fadingchannel.

    In a Fast fading channel, the impulse response changes

    rapidly within the symbol duration. That is, the coherence

    time of the channel is smaller than the symbol period of thetransmitted signal. This causes frequency dispersion (also

    called the selective fading) due to Doppler spreading, which

    leads to signal distortion.

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    SLOWFADING

    Slow Fading is a kind of fading caused by larger

    movements of a mobile or obstructions within the

    propagation environment. This is often modeled

    as log-normal distribution with a standard

    deviation according to the Log Distance Path Loss

    Model.

    In a slow fading channel, the channel impulse

    response changes at a rate much slower than the

    transmitted base band signal s(t). In this case,

    channel may be assumed to be static over one or

    several reciprocal bandwidth intervals.

    http://en.wikipedia.org/wiki/Log-normal_distributionhttp://en.wikipedia.org/wiki/Log_Distance_Path_Loss_Modelhttp://en.wikipedia.org/wiki/Log_Distance_Path_Loss_Modelhttp://en.wikipedia.org/wiki/Log_Distance_Path_Loss_Modelhttp://en.wikipedia.org/wiki/Log_Distance_Path_Loss_Modelhttp://en.wikipedia.org/wiki/Log_Distance_Path_Loss_Modelhttp://en.wikipedia.org/wiki/Log_Distance_Path_Loss_Modelhttp://en.wikipedia.org/wiki/Log_Distance_Path_Loss_Modelhttp://en.wikipedia.org/wiki/Log_Distance_Path_Loss_Modelhttp://en.wikipedia.org/wiki/Log_Distance_Path_Loss_Modelhttp://en.wikipedia.org/wiki/Log_Distance_Path_Loss_Modelhttp://en.wikipedia.org/wiki/Log_Distance_Path_Loss_Modelhttp://en.wikipedia.org/wiki/Log-normal_distributionhttp://en.wikipedia.org/wiki/Log-normal_distributionhttp://en.wikipedia.org/wiki/Log-normal_distributionhttp://en.wikipedia.org/wiki/Log-normal_distributionhttp://en.wikipedia.org/wiki/Log-normal_distribution
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    Fig. (5) : Type of fading experienced by a signal as a function

    (a) Symbol period (b) Base band signal bandwidth

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    STATISTICAL MODELS FOR MULTIPATH

    FADING CHANNELS

    Several multipath models have been suggested toexplain the observed statistical nature of a mobilechannel.

    The first model presented by ossana was based oninterference of waves incident and reflected from theflat sides of randomly located buildings.

    Ossanas model is therefore rather inflexible andinappropriate for urban areas where the direct path isalmost always blocked by buildings or other obstacles.Clarkes model is based on scattering and is widelyused.

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    CLARKES MODEL

    Clarke developed a model where the statisticalcharacteristics of the electromagnetic fields of thereceived signals of the mobile are deduced fromscattering.

    The model assumes a fixed transmitter with a

    vertically polarized antenna. The field incident on themobile antenna is assumed to be comprised of Nazimuthal plane waves with arbitrary carrier phases,arbitrary azimuthal angles of arrival, and each wavehaving equal average amplitude.

    It should be noted that the equal average amplitudeassumption is based on the fact that in the absence ofa direct line-of-sight path, the scattered arriving at areceiver will experience similar attenuation over

    small-scale distances.

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    TWO-RAY RAYLEIGH FADING MODEL

    Clarkes model and the statistics for Rayleighfading are for that fading conditions and do not

    consider multipath time delay.

    In modern mobile communication systems with

    high data rates, it has become necessary tomodel the effects of multipath delay spread as

    well as fading.

    A commonly used multipath model is an

    independent Rayleigh fading two-ray model(which is a specific implementation of the

    generic fading simulator shown in figure

    below).

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    The figure shows a block diagram of the two-ray

    independent Rayleigh fading channel model.

    INPUT OUTPUT

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    SALEH AND VALENZUELA INDOOR STATISTICAL MODEL

    Saleh and Valenzuela reported the results of

    indoor propagation measurements between two

    vertically polarized omni directional antennas

    located on the same floor of a medium sized

    office building. Measurements were made using10 ns, 1.5 GHz, radar-like pulses.

    The method involved averaging the square law

    detected pulse response while sweeping the

    frequency of the transmitted pulse. Using thismethod, multipath components within 5 ns were

    resolvable.

    SIRCIM AND SMRCIM INDOOR AND OUTDOOR

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    SIRCIM AND SMRCIM INDOOR AND OUTDOOR

    STATISTICAL MODELS

    Rappaport and Seidel reported measurement at 1300 MHz in five

    factory buildings and carried out subsequent measurements inother types of buildings. The authors developed an elaborate,

    empirically derived statistical model to generate measured

    channels based on the discrete impulse response channel model

    and wrote a computer program called SIRCIM (simulation of

    indoor radio channel impulse-response models). SIRCIM generates realistic samples of small-scale indoor channel

    impulse response measurements. Subsequent work by Huang

    produced SMRCIM (simulation of mobile radio channel

    impulse response models), a similar program that generates

    small-scale urban cellular and microcellular channel impulseresponses.

    These programs are currently in use at over 100 institutions

    throughout the world, and have been updated to include angle of

    arrival information for micro cell, indoor, and macro cell channels.

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    REFERENCES

    Wireless Communication

    (T. S. RAPPAPORT, EEE Pub.)

    Wikipedia, the free encyclopedia

    Google.co.in

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    ANY QUERIES PLEASE ?

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