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    Electrical & Computer Engineering

    Wireless Communications

    Channel Modeling Large Scale

    Rami Haddad

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    Review: Radio Wave Propagation

    Wave Propagation Mechanisms & Challenges Reflection, diffraction, and scattering Lack of direct line-of sight path between the Tx and Rx Multipath fading

    Large-scale fading: transmission over large T-Rseparation distance (hundreds or thousands

    meters)

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    Take a look of this case first

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    Reflection When a radio wave propagating in one medium

    impinges upon another medium have different

    electrical properties

    The wave is partially reflected The reflection coefficient The material properties The wave polarization The angle of incidence The wave frequency

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    Ground Reflection Model

    Two-Ray model

    ht hr

    d

    i r

    ELOS

    Ei Eg

    |ETOT|=|ELOS+Eg|

    From the laws of reflection we know the following:

    Taking notes in class

    Eg = Ei

    Et = 1+ ( )Ei

    i=

    r

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    Ground Reflection Model Geometry

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    Taylor Series

    1+h

    t+ h

    r

    d

    2

    =1+(1)(2)

    (1)(4)

    ht+ h

    r

    d

    2

    = d 1+h

    t+ h

    r

    d

    2

    d 1+h

    t h

    r

    d

    = d 1+

    1

    2

    ht+ h

    r

    d

    2

    d 1+

    1

    2

    ht h

    r

    d

    2

    = d= d2 d

    1= h

    t+ h

    r( )2

    + d2 h

    t h

    r( )2

    + d2= d 1+

    ht+ h

    r

    d

    2

    d 1+h

    t h

    r

    d

    2

    d d d+1

    2dh

    t

    2 h

    t

    2+ h

    r

    2 h

    r

    2+ 2h

    th

    r+ 2h

    th

    r( ) 2h

    th

    r

    d

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    Ground Reflection Model The received E-field

    ETOT

    2E

    0d0

    d

    2hthr

    d

    The received power at a distance d

    Pr= P

    tG

    tG

    rht

    2

    hr2

    d4

    d>> ht+ h

    r d>10 h

    t+ h

    r( )

    2

    =

    2hth

    r

    d

    < 0.3rad

    Conditions:

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    Two-ray Model Path Loss

    The path loss is as follows:

    PL =Pt

    Pr

    =

    d4

    GtG

    rht

    2hr

    2

    PL(dB) = 40logd 10logGt+10logG

    r+ 20logh

    t+ 20logh

    r( )

    The path loss represented in decibel is as follows:

    d>> ht+ h

    r d>10 h

    t+ h

    r( )

    2

    =

    2hth

    r

    d

    < 0.3rad

    Conditions:

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    Ground Reflection Model

    Advantage Consider both the direct path and a ground reflected

    propagation path between the Tx and Rx

    Disadvantage Oversimplified: does not include factors like terrain

    profile and surroundings

    Whether the two-ray model could be applied? Case 1: ht=35 m, hr=3m, d=250 m Case 2: ht=30 m, hr=1.5m, d=450 m

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    Example: A mobile is located 5 km away from a base station and uses a /4

    monopole antenna with a gain of2.55 dB to receive cellular radio

    signals. The E-field at 1 km from the transmitter is measured to be

    10-3V/m. The carrier frequency used for this system is 900 MHz.

    a. Find the length and the effective aperture of the receiving antenna?b. Find the received Power at the mobile using the two-ray ground reflection

    model assuming the height of the transmitting antenna is 50 m and the

    receiving antenna is 1.5 m above ground.

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    Project Ideas

    60 GHz communication Ultra-Wide-Bandwidth Communication

    Near-Field Communication

    Sub-carrier spacing schemes for 60 GHz OFDM communication systems Rate Adaptive Multi-Code Multi-Carrier CDMA Systems in Multipath Fading

    Channel

    Fundamental overview and simulation of MIMO systems for Space-Timecoding and Spatial Multiplexing

    ICI Cancellation for OFDM Systems Optimal Design for Channel Estimations in OFDM Systems

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    More into Ideas

    http://www.youtube.com/watch?v=0lvL4SGHY5Y

    http://www.youtube.com/watch?v=-5zuOsy40E8

    http://www.youtube.com/watch?v=9sn3GFdFC0o

    http://www.youtube.com/watch?v=VLAgYUQCgD8

    http://www.youtube.com/watch?v=K5IIA07gQTA