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**Radiowave Channel Modelling for Radio Networks**

Costas Constantinou Electronic, Electrical & Computer Engineering The University of Birmingham, UK

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**Electromagnetic waves**

Electric & Magnetic fields Basic notions Fields are mechanisms of transfer of force and energy Distributed in space and time Have direction as well as magnitude Two types of ‘arrow’ Vector Phasor Vector & Phasor addition illustrated Im Re 1 Mobihoc '03 Radio Channel Modelling Tutorial

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**Electromagnetic waves**

Vector plane waves Frequency Wavenumber Wavelength Mobihoc '03 Radio Channel Modelling Tutorial

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**Reflection of plane waves**

Reflection coefficient is a tensor The reflection coefficient can be resolved into two canonical polarisations, TE and TM and has both a magnitude and phase Plane of incidence Mobihoc '03 Radio Channel Modelling Tutorial

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**Reflection of plane waves**

Typical reflection coefficients for ground as a function of the grazing angle (complement of the angle of incidence). In this instance, Pseudo-Brewster angle Mobihoc '03 Radio Channel Modelling Tutorial

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**Common electrical constants**

Electrical properties of typical construction materials in UHF band (300MHz – 3GHz) Material r Sm-1 Ground 7-30; typical 15 ; typical 0.005 Fresh water 81 0.01 Sea water 4 Brick 0.02 Concrete (dry) 7 0.15 Concrete (aerated) 2 0.08 Gypsum (plaster) board 2.25 Glass 3.8-8 0.001 Wood Mobihoc '03 Radio Channel Modelling Tutorial

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**Electromagnetic waves**

Spherical waves Intensity (time-average) Conservation of energy; the inverse square law Mobihoc '03 Radio Channel Modelling Tutorial

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**Electromagnetic waves**

Conservation of energy; the inverse square law Mobihoc '03 Radio Channel Modelling Tutorial

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**Radiation Pictorial introduction to radiation from accelerated charges**

Mobihoc '03 Radio Channel Modelling Tutorial

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**Radiation Pictorial introduction to radiation from accelerated charges**

Mobihoc '03 Radio Channel Modelling Tutorial

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**Radiation Pictorial introduction to radiation from accelerated charges**

Mobihoc '03 Radio Channel Modelling Tutorial

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**Radiation Fields around a charge in non-uniform motion**

Mobihoc '03 Radio Channel Modelling Tutorial

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**Radiation Fields around a charge in non-uniform motion**

Mobihoc '03 Radio Channel Modelling Tutorial

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**Radiation Fields around a charge in non-uniform motion**

Mobihoc '03 Radio Channel Modelling Tutorial

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Radiation Radiated fields proportional to charge acceleration (current proportional to charge velocity) and number of charges Radiated wave is spherical provided the observation point is far enough away from the source Radiated wave is transverse electromagnetic The field magnitude is proportional to the sine of the angle from the axis of charge acceleration Small antenna (Length & constant current ) in the far-field Mobihoc '03 Radio Channel Modelling Tutorial

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Antennas In general, the fields radiated by an arbitrary antenna in the far-field zone are of the form, where the last term is the antenna radiation pattern (including its polarisation characteristics) Radiation pattern: a polar plot of power radiated per unit solid angle (radiation intensity) Isotropic antenna does not exist in 3D, but is still used as a reference antenna! Mobihoc '03 Radio Channel Modelling Tutorial

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**Antennas A general antenna pattern**

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Antennas Radiation pattern: a polar plot of power radiated per unit solid angle (radiation intensity) Directional vs. omni-directional antenna Lobes: main lobe (boresight direction), sidelobes, backlobes Half-power beamwidth (HPBW); first null beamwidth (FNBW) Sidelobe levels (dB) Front-to-back ratio (dB) Mobihoc '03 Radio Channel Modelling Tutorial

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**Antennas Directivity Radiation efficiency Gain (directive gain)**

Beamwidth and directivity (pencil beam antenna) Bandwidth: impedance vs. pattern Mobihoc '03 Radio Channel Modelling Tutorial

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**Antennas Reciprocity and receiving effective aperture area**

The gain of an antenna in transmission mode is proportional to its effective aperture area in reception mode and the constant of proportionality is universal for all antennas Polarisation matching (dot product between incident electric field vector and the unit vector of antenna polarisation) Co-polar pattern Cross-polar pattern Mobihoc '03 Radio Channel Modelling Tutorial

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**Antennas Antenna examples Antenna Gain (dBi) Band-width Pola-risation**

Half-power beamwidth () Half-power beamwidth () Small dipole or loop (L<< ) 1.76 N/A Linear 90° Omni-directional Half-wavelength (/2) dipole 2.16 15% 78° Yagi-Uda array of /2 dipoles 12 5% 65° 45° Patch antenna (typical) 6 80° Helical antenna: axial mode – typ. 13 2:1 Circular 20° Helical antenna: normal mode – typ. Mobihoc '03 Radio Channel Modelling Tutorial

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**Antennas Antenna arrays Multiple elements**

Voltages at their elements are phasors Voltage phase-shifted then added to produce maximum reception sensitivity to radiation from a particular direction (beam-forming) Radiation pattern (and gain) is the product of the element pattern and the array factor– watch for electromagnetic coupling! Phases may be shifted in real-time to have adaptive antenna MIMO antennas (more later on this one) Mobihoc '03 Radio Channel Modelling Tutorial

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**Antenna arrays Two point sources of equal amplitude and phase**

Phase difference of two fields at the observation point Total field at the observation point Mobihoc '03 Radio Channel Modelling Tutorial

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**Antenna arrays Field pattern ( )**

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**Antenna arrays Point sources Same phase = 0, spaced /2**

Phase quadrature = 90º, /2 Phase quadrature = 90º, /4 Mobihoc '03 Radio Channel Modelling Tutorial

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**Antenna array field pattern = element pattern array pattern**

Antenna arrays Principle of pattern multiplication Antenna array field pattern = element pattern array pattern Mobihoc '03 Radio Channel Modelling Tutorial

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**Antenna arrays Broadside array: main lobe perpendicular to array**

End-fire array: main lobe along array 2D, 3D arrays Side-lobe tapering via amplitude distribution functions Grating lobes Mobihoc '03 Radio Channel Modelling Tutorial

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**Free space propagation**

tx rx R Transmitted power EIPR (equivalent isotropically radiated power) Power density at receiver Received power Friis power transmission formula Mobihoc '03 Radio Channel Modelling Tutorial

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**Free space propagation**

Taking logarithms gives where is the free-space path loss, measured in decibels Math reminder Mobihoc '03 Radio Channel Modelling Tutorial

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Basic calculations Example: Two vertical dipoles, each with gain 2dBi, separated in free space by 100m, the transmitting one radiating a power of 10mW at 2.4GHz This corresponds to 0.4nW (or an electric field strength of 0.12mVm-1) The important quantity though is the signal to noise ratio at the receiver. In most instances antenna noise is dominated by electronic equipment thermal noise, given by where is Boltzman’s constant, B is the receiver bandwidth and T is the room temperature in Kelvin Mobihoc '03 Radio Channel Modelling Tutorial

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Basic calculations The noise power output by a receiver with a Noise Figure F = 10dB, and bandwidth B = 200kHz at room temperature (T = 300K) is calculated as follows Thus the signal to noise ratio (SNR) is given by Mobihoc '03 Radio Channel Modelling Tutorial

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Basic calculations The performance of the communication system (outside the scope of this tutorial) depends on the SNR, modulation and coding (forward error correcting (FEC) coding) employed and is statistical in nature We can look up graphs/tables to convert from SNR to bit error rate, BER for each modulation scheme (next slide) Assuming that the probability of each bit being detected erroneously at the receiver is independent, we can find the probability for the number of erroneous bits exceeding the maximum number of errors the FEC code can cope with in any one packet and thus arrive at the probability (or frequency) of receiving erroneous packets Mobihoc '03 Radio Channel Modelling Tutorial

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Basic calculations Mobihoc '03 Radio Channel Modelling Tutorial

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Basic calculations In a multi-user environment we have to incorporate the the effects of the co-channel interference in these calculations In practice we need to model interferer power probabilistically These calculations are known as outage probability calculations This is not a problem,as the desired link power often needs to be modelled probabilistically too Let us turn our attention back to this problem now, by considering more realistic propagation models Mobihoc '03 Radio Channel Modelling Tutorial

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**Propagation over a flat earth**

The two ray model Valid in the VHF, band and above (i.e. f 30MHz where ground/surface wave effects are negligible) Valid for flat ground (i.e. r.m.s. roughness dz < l, typically f 30GHz) Valid for short ranges where the earth’s curvature is negligible (i.e. d < 10–30 km, depending on atmospheric conditions) z ht hr d r1 r2 air, e0, m0 ground, er, m0, s Tx Rx P x Mobihoc '03 Radio Channel Modelling Tutorial

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**Propagation over flat earth**

The path difference between the direct and ground-reflected paths is and this corresponds to a phase difference The total electric field at the receiver is given by The angles and f are the elevation and azimuth angles of the direct and ground reflected paths measured from the boresight of the transmitting antenna radiation pattern Mobihoc '03 Radio Channel Modelling Tutorial

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**Propagation over flat earth**

This expression can be simplified considerably for vertical and horizontal polarisations for large ranges d >> ht, hr, l, Mobihoc '03 Radio Channel Modelling Tutorial

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**Propagation over flat earth**

There are two sets of ranges to consider separated by a breakpoint Mobihoc '03 Radio Channel Modelling Tutorial

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**Propagation over flat earth**

Thus there are two simple propagation path loss laws where l is a rapidly varying (fading) term over distances of the scale of a wavelength, and This simplifies to The total path loss (free space loss + excess path loss) is independent of frequency and shows that height increases the received signal power (antenna height gain) and that the received power falls as d-4 not d-2 Mobihoc '03 Radio Channel Modelling Tutorial

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**Propagation over flat earth**

Typical ground (earth) with r = 15, = 0.005Sm-1, ht = 20m and hr = 2m 1/d4 power law regime (d > dc) 1/d2 power law regime (d < dc) deep fade Mobihoc '03 Radio Channel Modelling Tutorial

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**Radio channels for MANETS**

Channels are: Short-range (microcellular & picocellular) Indoor or outdoor UHF band (300MHz f 3GHz, or 10cm 1m) SHF band (3GHz f 30GHz, or 1cm 10cm) Models can be: Deterministic, statistical, or empirical Narrowband, broadband Multipath propagation mechanisms of importance: Reflection Diffraction Transmission Scattering Mobihoc '03 Radio Channel Modelling Tutorial

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**Observed signal characteristics**

Narrowband signal (continuous wave – CW) envelope Area mean or path loss (deterministic or empirical) Fast or multipath fading (statistical) Local mean, or shadowing, or slow fading (deterministic or statistical) Mobihoc '03 Radio Channel Modelling Tutorial

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**Observed signal characteristics**

The total signal consists of many components Each component corresponds to a signal which has a variable amplitude and phase The power received varies rapidly as the component phasors add with rapidly changing phases Averaging the phase angles results in the local mean signal over areas of the order of 10l2 Averaging the length (i.e. power) over many locations/obstructions results in the area mean The signals at the receiver can be expressed in terms of delay, or frequency variation, and depend on polarisation, angle of arrival, Doppler shift, etc. Mobihoc '03 Radio Channel Modelling Tutorial

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Actual measurements We shall look at some examples which I have taken together with: Prof. David Edwards (Oxford) Andy Street (now at Agilent) Alan Jenkins (now in Boston) Jon Moss (O2) Lloyd Lukama (BBC R&D) Junaid Mughal (Birmingham) Yuri Nechayev (Birmingham) Mobihoc '03 Radio Channel Modelling Tutorial

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**Measurement system VNA-based**

Synthetic volume aperture Rx antenna on a grid of 26x26x2 positions with a cell size of 3x3x40 cm3: Azimuth resolution 10o Elevation resolution 30o (with grating lobes) Reflection measurement: f0 = MHz; B = 80 MHz Transmission measurement: f0 = MHz; B = 200 MHz S21 response calibrated and checked for phase stability & repeatability Mobihoc '03 Radio Channel Modelling Tutorial

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**Measurement location Four-storey brick building**

25 cm thick exterior walls 12 cm thick interior walls Foyer near T-junction Corridor along length Offices & labs either side of corridor Staircases at ends surrounded by offices Exterior wall structure: windows with ledges, small balcony Mobihoc '03 Radio Channel Modelling Tutorial

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Measurement location Mobihoc '03 Radio Channel Modelling Tutorial

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Measurement Antennas Mobihoc '03 Radio Channel Modelling Tutorial

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**Reflection measurement**

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**Reflection measurement**

LOS at 125ns and at expected path loss Specular reflection at 237ns (correct path length geometrically) and a path loss corresponding to 5dB of reflection loss Experimental reflection coefficient |r| = 0.56 (= -5 dB) Theoretical Fresnel reflection coefficient for brick with 10% moisture content (er = j0.9 & 31o angle of incidence) |r| = 0.54 Additional scattered energy at 249ns & nearby spatial AoA is comparable to specular reflection Non-simple “reflection” (i.e. scattering) process Mobihoc '03 Radio Channel Modelling Tutorial

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**Transmission measurement**

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**Transmission measurement**

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**Transmission measurement**

Delay Path loss Path length Map dist. Possible propagation mechanism 175 ns 119 dB 52 m 50 m Ground floor tx through window 190 ns 120 dB 57 m 54 m 249 ns 121 dB 75 m 69 m 1st floor tx through stairwell 279 ns 122 dB 84 m Tx through ground floor foyer 324 ns 97 m 99 m Arts & Watson refl and Arts diffr 409 ns 125 dB 123 m ? Multiple scat from Arts & Watson 554 ns 128 dB 166 m Multiple scattering from Physics 589 ns 111 dB 177 m 175 m Arts 1 refl & Physics 2 refl 853 ns 256 m Scat from nearby tower block ? Mobihoc '03 Radio Channel Modelling Tutorial

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Indoor measurements Oxford indoor measurements at 5.5GHz (2ns resolution) Mobihoc '03 Radio Channel Modelling Tutorial

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Indoor measurements Oxford indoor measurements at 5.5GHz (2ns resolution) Mobihoc '03 Radio Channel Modelling Tutorial

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**Outdoor to Indoor measurements**

Oxford outdoor to indoor measurements at 2.44Hz (27ns resolution) Mobihoc '03 Radio Channel Modelling Tutorial

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What matters to you You need to be able to calculate the probability (or frequency) with which a packet will be received successfully on a wireless link This will depend on Link signal power Interference levels Dispersion in the channel Link power can be controlled in two ways Changing the transmitted power Changing antenna gains Adopting diversity reception techniques Mobihoc '03 Radio Channel Modelling Tutorial

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**What matters to you Interference can be controlled also in two ways**

Changing the transmitted power at more than one node Having an adaptive antenna radiation pattern to introduce a null in the direction(s) of the dominant interferer(s) Dispersion can be mitigated through the use of Equalisers and/or diversity schemes Adaptive antennas (filtering out multipath components) BUT, beware of Unwanted complexity/expense in receiver technology Effects on battery power Exceeding maximum permissible EIRP Size of antenna system becoming unwieldy Difficulties in optimising more than one simultaneous link Mobihoc '03 Radio Channel Modelling Tutorial

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Area mean models Most published models of this form are linear regression models established through measurements in macro-cellular scenarios (Hata-Okumura and Walfisch-Bertoni models and their variants) and are not applicable to MANET research The majority of models applicable to short-range propagation in open areas are based on the two-ray model (usually modified to take into account terrain undulations Short-range propagation in built-up areas is often done using deterministic techniques such as ray-tracing (more on this later) Mobihoc '03 Radio Channel Modelling Tutorial

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**Area mean models – outdoor**

Range dependence for microcells is strongly influenced by street geometry Line-of-sight paths (LOS) Non-line-of-sight paths (NLOS) (Lateral vs. transverse) Tx LOS Staircase Zig-zag Transverse Lateral Mobihoc '03 Radio Channel Modelling Tutorial

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**Area mean models – outdoor**

Based on measurements by AirTouch Communication in San Francisco at 900MHz and 1900MHz for ht = 3.2, 8.7 and 13.4m and hr = 1.6m Two slope models with a breakpoint distance as predicted by the two ray model for LOS case for d < db and where the distances are measured in km and the frequency in GHz for d > db. Note that there is a 3dB discontinuity at d = db Mobihoc '03 Radio Channel Modelling Tutorial

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**Area mean models – outdoor**

For the staircase and transverse NLOS cases in suburban environments only where and HB is the mean building height For the lateral NLOS case in suburban environments only Mobihoc '03 Radio Channel Modelling Tutorial

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**Area mean models – outdoor**

For the staircase and transverse NLOS cases in high-rise urban environments only For the lateral NLOS case in high-rise urban environments only The standard deviation of the models from the actual data was found to be approximately 6–12dB Mobihoc '03 Radio Channel Modelling Tutorial

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**Area mean models – indoor**

COST231 (1999) models Model 1: Model 2: L0 is the free-space loss, Lc is a constant, kwi is the number of penetrated walls of type i (type 1 is a light plasterboard/aerated concrete wall, type 2 is a heavy thick wall made of brick or concrete), Lwi is the associated transmission loss, kf is the number of penetrated adjacent floors and Lf is the associated floor transmission loss Model 3: Mobihoc '03 Radio Channel Modelling Tutorial

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**Area mean models – indoor**

L1 (dB) N Lw1(dB) Lw2(dB) Lf(dB) b (dBm-1) Dense One floor Two floors Three floors 33.3 21.9 44.9 4.0 5.2 5.4 3.4 6.9 18.3 0.46 0.62 2.8 Open 42.7 1.9 0.22 Large 37.5 2.0 Corridor 29.2 1.4 Mobihoc '03 Radio Channel Modelling Tutorial

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**Area mean models – indoor**

The models were developed at 1800MHz, but subsequent measurements at 0.85, 1.9, 2.4, 4.0, 4.75, 5.8 and 11.5GHz have shown no significant frequency dependence In corridors path loss exponents less than 2 (waveguiding effects) have been reported, but were only significant in very specific cases The standard deviation of the models from the actual data was found to be approximately 10dB Mobihoc '03 Radio Channel Modelling Tutorial

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Area mean models The ITU, headquartered in Geneva, Switzerland is an international organization within the United Nations System where governments and the private sector coordinate global telecom networks and services ITU-R (International Telecommunications Union – Radiocommunication sector recommendations are internationally agreed models you can use and are based on numerous measurements You can download up to three recommendations for free from the Electronic Bookshop ITU-R P : Propagation data and prediction methods for the planning of short-range outdoor radiocommunication systems and radio local area networks in the frequency range 300 MHz to 100 GHz ITU-R P : Propagation data and prediction methods for the planning of indoor radiocommunication systems and radio local area networks in the frequency range 900 MHz to 100 GHz Mobihoc '03 Radio Channel Modelling Tutorial

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Local mean model The departure of the local mean power from the area mean prediction, or equivalently the deviation of the area mean model is described by a log-normal distribution In the same manner that the theorem of large numbers states that the probability density function of the sum of many random processes obeys a normal distribution, the product of a large number of random processes obeys a log-normal distribution Here the product characterises the many cascaded interactions of electromagnetic waves in reaching the receiver The theoretical basis for this model is questionable over short-ranges, but it is the best available that fits observations Mobihoc '03 Radio Channel Modelling Tutorial

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Local mean model Working in logarithmic units (decibels, dB), the total path loss is given by where Xs is a random variable obeying a lognormal distribution with standard deviation s (again measured in dB) If x is measured in linear units (e.g. Volts) where mx is the mean value of the signal given by the area mean model Mobihoc '03 Radio Channel Modelling Tutorial

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**Local mean model Cumulative probability density function**

This can be used to calculate the probability that the signal-to-noise ratio will never be lower than a desired value and thus the bit-error-rate and packet/frame error rate will be always smaller than a given value which can be easily calculated. This is called an outage calculation Note that all this is range-dependent Mobihoc '03 Radio Channel Modelling Tutorial

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Local mean model In simulations, we need to generate random numbers Xs from the p.d.f. and then simulate the corruption of a radio packet probabilistically from the BER model of the given communication system The variation of the log-normal fading with distance is not contained in the statistical model. We know from measurements that slow or shadow fades extend over distances of 5–300m, with the lower ranges being more appropriate to short ranges and indoor environments In MANET simulations, the slow fading needs to be computer every 5–20m with intermediate values interpolated smoothly to ensure that simulations are meaningful Mobihoc '03 Radio Channel Modelling Tutorial

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**Fast fading models Im Constructive and destructive interference Re P**

In spatial domain In frequency domain In time domain (scatterers, tx and rx in relative motion) Azimuth dependent Doppler shifts Each multipath component travels corresponds to a different path length. Plot of power carried by each component against delay is called the power delay profile (PDP )of the channel. 2nd central moment of PDP is called the delay spread t P Mobihoc '03 Radio Channel Modelling Tutorial

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Fast fading models The relation of the radio system channel bandwidth Bch to the delay spread d is very important Narrowband channel (flat fading, negligible inter-symbol interference (ISI), diversity antennas useful) Wideband channel (frequency selective fading, need equalisation (RAKE receiver) or spread spectrum techniques (W-CDMA, OFDM, etc.) to avoid/limit ISI) Fast fading refers to very rapid variations in signal strength (20 to in excess of 50dB in magnitude) typically in an analogue narrowband channel Dominant LOS component Rician fading NLOS components of similar magnitude Rayleigh fading Mobihoc '03 Radio Channel Modelling Tutorial

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Fast fading models Working in logarithmic units (decibels, dB), the total path loss is given by where Y is random variable which describes the fast fading and it obeys the distribution for Rayleigh fading, where the mean value of Y is Mobihoc '03 Radio Channel Modelling Tutorial

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**Fast fading models For Rician fading**

where ys is the amplitude of the dominant (LOS) component with power The ratio is called the Rician K-factor. The mean value of Y is The Rician K-factor can vary considerably across small areas in indoor environments Mobihoc '03 Radio Channel Modelling Tutorial

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Fast fading models Similar but much more complicated outage calculations E.g. Rayleigh and log-normal distributions combine to give a Suzuki distribution Simulations with random number realisations for Xs and Y are run as before For many nodes the same methodology can be used to calculate interferer powers to compute the total S/(N+I) ratio The spatial distribution of fades is such that the “length” of a fade depends on the number of dB below the local mean signal we are concerned with (see Parsons [5], pp ) Fade depth (dB) Average fade length () 0.479 -10 0.108 -20 0.033 -30 0.010 Mobihoc '03 Radio Channel Modelling Tutorial

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Delay spread models To determine whether simple propagation models are suitable for predicting the performance of digital communications systems, we need to have a simple channel dispersion model The simplest possible model for the PDP is that of an exponential decay function where S is (approximately) the r.m.s. delay spread For an indoor channel measurements at 1.9 and 5.2GHz have established that where S is measured in ns, Fs is the floor space measured in m2 (assuming omnidirectional antennas are used) Mobihoc '03 Radio Channel Modelling Tutorial

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**Measurement conditions**

Delay spread models For outdoor microcellular and picocellular channels from 2.5 to 15.75GHz and ranges m, the r.m.s. delay spread follows a normal distribution whose mean and standard deviation are range-dependent Measurement conditions aS sS Area f(GHz) ht (m) hr (m) Ca ga Cs gs Urban 2.5 6.0 3.0 55 0.27 12 0.32 4.0 2.7 23 0.26 5.5 0.35 1.6 10 0.51 6.1 0.39 0.5 Residential 3.35 2.1 0.53 0.54 0.77 5.9 2.0 0.48 Mobihoc '03 Radio Channel Modelling Tutorial

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Angular spread models In open areas (rural environments), the angular spread Sf of the received signal is fairly narrow (Sf ~ 10° or less) In urban areas in LOS situations, Sf 30° (±11°) In urban areas in NLOS situations, Sf 41° (±18°) In indoor environments angular spreads tend to vary significantly, with observations reported in the literature varying from Sf 15° to in excess of 180° All the above results are based on measurements in the band 5-8GHz Mobihoc '03 Radio Channel Modelling Tutorial

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Diversity Combining signals from more than one receiving channel can result in an overall improvement to the signal to noise ratio, provided these signals are appropriately combined. This is expressed as a diversity gain To have significant diversity gain, the branches (channels) of the diversity system must have a low statistical correlation and similar mean received powers Space diversity (more than one antenna location) – spatial fade statistics needed to determine minimum antenna separation Polarisation diversity (detecting more than one polarisation) Frequency diversity (transmitting on more than one frequency simultaneously) – coherence bandwidth needed to determine minimum frequency spacing Time diversity (transmitting the same message more than once) RAKE reception (exploiting temporal resolution) Mobihoc '03 Radio Channel Modelling Tutorial

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MIMO channels Diversity antennas at both transmitter (M antennas/ports) and receiver (N antennas/ports), but their spacing is smaller than traditional diversity antennas Can exploit any degree of de-correlation between transmitting-receiving antenna permutations due to the statistical independence of many scattering processes in the environment Use coding techniques together with singular value decomposition (SVD) to find the subspace of the MxN channels which correspond to statistically independent channels which can be exploited simultaneously Mobihoc '03 Radio Channel Modelling Tutorial

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**How to use models in simulation**

To calculate the probability of packet loss Generate random numbers for the slow fading, Xs, and, if appropriate for the communication system in question (depends on wideband/narrowband system for the channel and/or use of diversity reception techniques), for the fast fading, Y, from the appropriate distributions Calculate the received signal in the radio link using the path loss model Repeat the calculation above for all k interfering transmitters Mobihoc '03 Radio Channel Modelling Tutorial

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**How to use models in simulation**

Calculate the noise at the receiver (B is the channel bandwidth) Combine noise and interference powers linearly Calculate the signal-to-noise-plus-interference ratio Look up what bit-error-rate this corresponds to for your system Mobihoc '03 Radio Channel Modelling Tutorial

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**How to use models in simulation**

If there are n bits in each frame/packet and a maximum of m errors can be corrected for by the FEC coding, the probability that the packet has been corrupted is where pl is the probability of exactly l bits being received erroneously in the packet, given by A random decision based on P(pkt_loss) can then be made in a MANET simulation To perform more conventional outage calculations, it is simpler to use a simulator (e.g. SEAMCAT – freely available from is but one example) Mobihoc '03 Radio Channel Modelling Tutorial

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Deterministic models For more detailed simulations (which include specific instances of PDP, angles of arrival, etc.), you need to use a deterministic radio propagation prediction technique, together with an input environment database Important in trying to assess the operation and benefits of directional and/or adaptive antennas, as radiation patterns can be incorporated in the simulation explicitly Technique of choice for short-range propagation in the UHF/SHF bands (300MHz – 30GHz) is ray tracing Mobihoc '03 Radio Channel Modelling Tutorial

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Ray tracing This is a high-frequency technique based on geometrical optics Site specific UHF and SHF propagation prediction Requires a building database Models reflected, diffracted and transmitted fields along all possible ray paths connecting the transmitter and receiver 3D predictions Coherent field coverage vs. r.m.s. power coverage. Angle of arrival, power delay profile, polarisation prediction and phase information capabilities Mobihoc '03 Radio Channel Modelling Tutorial

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**Ray tracing (cont.) Ray tracing – geometrical calculation**

Image method Point and shoot method Visibility (connectivity) matrix to accelerate computation Image method slowest, but guaranteed to trace all rays (mixed reflected-diffracted paths the slowest) Point and shoot method fastest, but can miss rays (reception sphere; secondary sources) Truncation of number of interactions per ray Mobihoc '03 Radio Channel Modelling Tutorial

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Ray tracing (cont.) Mobihoc '03 Radio Channel Modelling Tutorial

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**Ray tracing (cont.) Field calculation Research challenges**

Specular reflection – GO (reflection coefficients in [7]) Diffuse scatter – non-GO process (difficult to model) Diffraction – GTD/UTD (diffraction coefficients in [7]) Transmission – GO, but interior structure of buildings unknown (transmission coefficients in [7]) Research challenges Efficient ray-tracing engines to deal with large enough problems Better physical models for propagation mechanisms Mobihoc '03 Radio Channel Modelling Tutorial

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Ray tracing (cont.) Mobihoc '03 Radio Channel Modelling Tutorial

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**Impact on protocol stack**

MAC protocols can in principle have knowledge of the physical link states in their transmission contention zone Power control ‘games’ need path loss table information (spatially resolved version more desirable) – can potentially simultaneously optimise power consumption and interference problems Medium access control ‘games’ should be based on predictions of power control ‘games’ (i.e. base MAC protocols on predictions of physical channel state) Mobihoc '03 Radio Channel Modelling Tutorial

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**Impact on protocol stack**

Transmission contention zone: Power control: determines size Don’t make this bigger than you need to Increases frequency reuse ratio Increases SNIR, decreases BER and probability of packet loss Improves battery life Can make adaptive modulation possible Impact on PHY and MAC layers (e.g. directional MAC protocol – DMAC) Usually requires a channel to be reserved as a control channel Mobihoc '03 Radio Channel Modelling Tutorial

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**Impact on protocol stack**

Transmission contention zone: Adaptive antennas: determine shape Impact on MAC and Network (routing) layers Introduces complexity Improve EIRP for same transmission power Improve effective receiving aperture area Improve SNIR – can steer nulls towards interferers and main radiation pattern lobe towards wanted node (not always). Antenna size is an issue But … eavesdropping is best done omni-directionally Mobihoc '03 Radio Channel Modelling Tutorial

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**Impact on protocol stack**

Directional antennas, power control, equalisation (e.g. rake reception) and adaptive modulation are closely coupled systems and their individual optimal configurations are not the same as their total optimal configuration – complex interactions; not always well understood The Physical, Data Link (including MAC) and Network layers all need to take into account and control the combined operation of all the above Protocols need path loss, angle of arrival and channel dispersion information to exercise control (determine transmission powers and modulation schemes) There is a need for standardised interface between hardware and protocol stack. Layer separation does not make sense in a highly adaptive MANETs. Mobihoc '03 Radio Channel Modelling Tutorial

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References [1] J.R. Pierce and A.M. Noll, Signals: The Science of Telecommunications, Scientific American Library, 1990 [2] R.E. Collin, Antennas and Radiowave Propagation, McGraw-Hill, 1985 [3] J.D. Kraus and R.J. Marhefka, Antennas For All Applications, 3rd Edition, McGraw-Hill, 2003 [4] R. Vaughan and J Bach Andersen, Channels, Propagation and Antennas for Mobile Communications, The Institution of Electrical Engineers, 2003 [5] H.L. Bertoni, Radio Propagation for Modern Wireless Systems, Prentice Hall, 2000 [6] J.D. Parsons, The Mobile Radio Propagation Channel, Pentech,1992 [7] D.A. McNamara, C.W.I. Pistorius and J.A.G. Malherbe, Introduction to the Uniform Geometrical Theory of Diffraction, Artech House, 1990 [8] W.C. Jakes (Ed.), Microwave Mobile Communications, IEEE Press, 1974 [9] T.S. Rappaport, Wireless Communications: Principles & Practice, Prentice Hall, 1996 [10] S.R. Saunders, Antennas and Propagation for Wireless Communication Systems, Wiley, 1999 [11] L.W. Barclay (Ed.), Propagation of Radiowaves, 2nd Ed., IEE Press, 2003 Mobihoc '03 Radio Channel Modelling Tutorial

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Illustration credits Figures on pp.3,7 © Scientific American Library [J.R. Pierce and A.M. Noll, Signals: The Science of Telecommunications, Scientific American Library, 1990] Figures on pp.9-14 © Scientific American Library [J.A. Wheeler, A Journey into Gravity and Spacetime, Scientific American Library, 1990] Figure on p.4, © Addison-Wesley [E. Hecht and A. Zajac, Optics, Addison-Wesley, 1974] Figures on p.5, © McGraw-Hill [R.E. Collin, Antennas and Radiowave Propagation, McGraw-Hill, 1985] Figures on p.15,17,18,23-26 © McGraw-Hill [J.D. Kraus and R.J. Marhefka, Antennas For All Applications, 3rd Edition, McGraw-Hill, 2003] Figures on p.33,40 © IEE [R. Vaughan and J Bach Andersen, Channels, Propagation and Antennas for Mobile Communications, The Institution of Electrical Engineers, 2003] Figures on pp.88, 90 © Winprop [Winprop tool documentation, Mobihoc '03 Radio Channel Modelling Tutorial

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