MSIT Master of Science in Information Technology MITP

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MSIT | Master of Science in Information Technology MITP 413: Wireless Technologies Week 3

MSIT | Master of Science in Information Technology MITP 413: Wireless Technologies Week 3 Michael L. Honig Department of EECS Northwestern University January 2009

MSIT | Master of Science in Information Technology Why Study Radio Propagation? • To

MSIT | Master of Science in Information Technology Why Study Radio Propagation? • To determine coverage Can we use the same channels? • Must determine path loss – Function of • Frequency • Distance • Terrain (office building, urban, hilly, rural, etc. ) Need “large-scale” models

MSIT | Master of Science in Information Technology Why Study Radio Propagation?

MSIT | Master of Science in Information Technology Why Study Radio Propagation?

MSIT | Master of Science in Information Technology Why Study Radio Propagation? • To

MSIT | Master of Science in Information Technology Why Study Radio Propagation? • To enable robust communications (MODEM design) Received Power Deep fades may cause an outage time • • • How can we guarantee reliable communications? What data rate can we provide? Must determine signal statistics: – Probability of outage – Duration of outage Need “small-scale” models

MSIT | Master of Science in Information Technology Will provide answers to… • •

MSIT | Master of Science in Information Technology Will provide answers to… • • What are the major causes of attenuation and fading? Why does the achievable data rate decrease with mobility? Why are wireless systems evolving to wider bandwidths (spread spectrum and OFDM)? Why does the accuracy of location tracking methods increase with wider bandwidths?

MSIT | Master of Science in Information Technology Propagation Key Words • Large-scale effects

MSIT | Master of Science in Information Technology Propagation Key Words • Large-scale effects – Path-loss exponent – Shadow fading • Small-scale effects – Rayleigh fading – Doppler shift and Doppler spectrum – Coherence time / fast vs slow fading • Narrowband vs wideband signals • Multipath delay spread and coherence bandwidth • Frequency-selective fading and frequency diversity

MSIT | Master of Science in Information Technology Propagation Mechanisms: 1. Free Space distance

MSIT | Master of Science in Information Technology Propagation Mechanisms: 1. Free Space distance d reference distance d 0=1 Reference power at reference distance d 0 P 0 In d. B: Pr = P 0 (d. B) – 20 log (d) slope = -20 d. B per decade Pr (d. B) P 0 = Gt Gr ( /4 )2 antenna gains wavelength Path loss exponent=2 log (d) 0

MSIT | Master of Science in Information Technology Wavelength (meters) = c (speed of

MSIT | Master of Science in Information Technology Wavelength (meters) = c (speed of light) / frequency • Wavelength >> size of object signal penetrates object. • Wavelength << size of object signal is absorbed and/or reflected by object. • Large-scale effects refers to propagation over distances of many wavelengths. Small-scale effects refers to propagation over a distances of a fraction of a wavelength.

MSIT | Master of Science in Information Technology Dipole Antenna cable from transmitter wire

MSIT | Master of Science in Information Technology Dipole Antenna cable from transmitter wire (radiator) 802. 11 dipole antenna

MSIT | Master of Science in Information Technology Radiation Pattern: Dipole Antenna Dipole axis

MSIT | Master of Science in Information Technology Radiation Pattern: Dipole Antenna Dipole axis Electromagnetic wave radiates out from the dipole axis. Cross-section of doughnut pattern

MSIT | Master of Science in Information Technology Antenna Gain Pattern Red curve shows

MSIT | Master of Science in Information Technology Antenna Gain Pattern Red curve shows the antenna gain versus angle relative to an isotropic pattern (perfect circle) in d. B. Often referred to as d. Bi, d. B “isotropic”. -5 d. B (factor of about 1/3) relative to isotropic pattern Dipole pattern (close to isotropic)

MSIT | Master of Science in Information Technology Antenna Gain Pattern Dipole pattern (vertical)

MSIT | Master of Science in Information Technology Antenna Gain Pattern Dipole pattern (vertical) 90 degree sector

MSIT | Master of Science in Information Technology Attenuation: Wireless vs. Wired Unshielded Twisted

MSIT | Master of Science in Information Technology Attenuation: Wireless vs. Wired Unshielded Twisted Pair • Path loss ~ 13 d. B / 100 meters or 130 d. B / 1 km – Increases linearly with distance • Requires repeaters for long distances 1 GHz Radio (free space) • Path loss ~ 30 d. B for the first meter + 20 d. B / decade – 70 d. B / 100 meters (2 decades) – 90 d. B / 1 km (3 decades) – 130 d. B / 100 km! – Increases as log (distance) • Repeaters are infeasible for satellites Short distance Wired has less path loss. Large distance Wireless has less path loss.

MSIT | Master of Science in Information Technology Propagation Mechanisms 2. Reflection Incident E-M

MSIT | Master of Science in Information Technology Propagation Mechanisms 2. Reflection Incident E-M wave Length of boundary >> wavelength transmitted wave 3. Diffraction Signal loss depends on geometry Hill 4. Scattering reflected wave

MSIT | Master of Science in Information Technology Why Use > 500 MHz?

MSIT | Master of Science in Information Technology Why Use > 500 MHz?

MSIT | Master of Science in Information Technology Why Use > 500 MHz? •

MSIT | Master of Science in Information Technology Why Use > 500 MHz? • There is more spectrum available above 500 MHz. • Lower frequencies require larger antennas – Antenna dimension is on the order of a wavelength = (speed of light/frequency) = 0. 6 M @ 500 MHz • Path loss increases with frequency for the first meter – 10’s of GHz: signals are confined locally – More than 60 GHz: attenuation is too large (oxygen absorbs signal)

MSIT | Master of Science in Information Technology 700 MHz Auction • Broadcast TV

MSIT | Master of Science in Information Technology 700 MHz Auction • Broadcast TV channels 52 -69 to be relocated in Feb. 2009. – 6 MHz channels occupying 698 – 806 MHz • Different bands were auctioned separately: – “A” and “B” bands: for exclusive use (like cellular bands) – “C” band (11 MHz): must support open handsets, software apps – “D” band (5 MHz): shared with public safety (has priority) • Commenced January 24, 2008, ended in March

MSIT | Master of Science in Information Technology Why all the Hubbub? • This

MSIT | Master of Science in Information Technology Why all the Hubbub? • This band has excellent propagation characteristics for cellular types of services (“beach-front property”). • Carriers must decide on technologies: 3 G, LTE, Wi. Max, … • Rules for spectrum sharing can be redefined…

MSIT | Master of Science in Information Technology

MSIT | Master of Science in Information Technology

MSIT | Master of Science in Information Technology C Band Debate • Currently service

MSIT | Master of Science in Information Technology C Band Debate • Currently service providers in the U. S. do not allow any services, applications, or handsets from unauthorized 3 rd party vendors. • Google asked the FCC to stipulate that whoever wins the spectrum must support open applications, open devices, open services, open networks (net neutrality for wireless). • Verizon wants to maintain “walled-garden”. • FCC stipulated open applications and devices, but not open services and networks: spectrum owner must allow devices or applications to connect to the network as long as they do not cause harm to the network • Aggressive build-out requirements: – Significant coverage requirement in four years, which continues to grow throughout the 10 -year term of the license.

MSIT | Master of Science in Information Technology Sold to… • Verizon • Other

MSIT | Master of Science in Information Technology Sold to… • Verizon • Other winners: AT&T (B block), Qualcomm (B, E blocks) • Total revenue: $19. 6 B – $9. 6 B from Verizon, $6. 6 B from AT&T • Implications for open access, competition?

MSIT | Master of Science in Information Technology D Band Rules • Winner gets

MSIT | Master of Science in Information Technology D Band Rules • Winner gets to use both D band adjacent public service band (additional 12 MHz!), but service can be preempted by public safety in emergencies. • Winner must build out public safety network: must provide service to 75% of the population in 4 years, 95% in 7 years, 99. 3% in 10 years • Minimum bid: $1. 3 B; estimated cost to deploy network: $10 -12 B • Any takers? …

MSIT | Master of Science in Information Technology D Band Rules • Winner gets

MSIT | Master of Science in Information Technology D Band Rules • Winner gets to use both D band adjacent public service band (additional 12 MHz!), but service can be preempted by public safety in emergencies. • Winner must build out public safety network: must provide service to 75% of the population in 4 years, 95% in 7 years, 99. 3% in 10 years • Minimum bid: $1. 3 B; estimated cost to deploy network: $10 -12 B • Any takers? … Nope! Highest bid was well below reserve…

MSIT | Master of Science in Information Technology Radio Channels Troposcatter Microwave LOS T

MSIT | Master of Science in Information Technology Radio Channels Troposcatter Microwave LOS T T Mobile radio Indoor radio

MSIT | Master of Science in Information Technology Sinusoidal Signal Electromagnetic wave s(t) =

MSIT | Master of Science in Information Technology Sinusoidal Signal Electromagnetic wave s(t) = A sin (2 f t + ) Time delay = 12, Phase shift = 12/50 cycle = 86. 4 degrees s(t) Amplitude A=1 Period= 50 sec, frequency f = 1/50 cycle/sec Time t (seconds)

MSIT | Master of Science in Information Technology Two Signal Paths s 1(t) s

MSIT | Master of Science in Information Technology Two Signal Paths s 1(t) s 2(t) Received signal r(t) = s 1(t) + s 2(t) Suppose s 1(t) = sin 2 f t. Then s 2(t) = h s 1(t - ) = h sin 2 f (t - ) attenuation (e. g. , h could be ½) delay (e. g. , could be 1 microsec. )

MSIT | Master of Science in Information Technology Sinusoid Addition (Constructive) s 1(t) r(t)

MSIT | Master of Science in Information Technology Sinusoid Addition (Constructive) s 1(t) r(t) + = s 2(t) Adding two sinusoids with the same frequency gives another sinusoid with the same frequency!

MSIT | Master of Science in Information Technology Sinusoid Addition (Destructive) s 1(t) r(t)

MSIT | Master of Science in Information Technology Sinusoid Addition (Destructive) s 1(t) r(t) s 2(t) + = Signal is faded.

MSIT | Master of Science in Information Technology Indoor Propagation Measurements Ceiling Hypothetical large

MSIT | Master of Science in Information Technology Indoor Propagation Measurements Ceiling Hypothetical large indoor environment Normalized received power vs. distance

MSIT | Master of Science in Information Technology Power Attenuation distance d reference distance

MSIT | Master of Science in Information Technology Power Attenuation distance d reference distance d 0=1 Reference power at reference distance d 0 P 0 In d. B: Pr = P 0 (d. B) – 10 n log (d) Path loss exponent slope (n=2) = -20 d. B per decade Pr (d. B) slope = -40 (n=4) 0 log (d)

MSIT | Master of Science in Information Technology Path Loss Exponents ENVIRONMENT Free space

MSIT | Master of Science in Information Technology Path Loss Exponents ENVIRONMENT Free space Urban cellular radio Shadowed urban cellular radio PATH LOSS EXPONENT, n 2 2. 7 to 3. 5 3 to 5 In building line-of-site 1. 6 to 1. 8 Obstructed in building 4 to 6 Obstructed in factories 2 to 3

MSIT | Master of Science in Information Technology Large-Scale Path Loss Average Received Power

MSIT | Master of Science in Information Technology Large-Scale Path Loss Average Received Power (d. Bm) (Scatter Plot) Distance (meters)

MSIT | Master of Science in Information Technology Shadow Fading • Random variations in

MSIT | Master of Science in Information Technology Shadow Fading • Random variations in path loss as mobile moves around buildings, trees, etc. • Modeled as an additional random variable: Pr = P 0 – 10 n log d + X “normal” (Gaussian) probability distribution standard deviation - For cellular: is about 8 d. B “log-normal” random variable received power in d. B

MSIT | Master of Science in Information Technology Large-Scale Path Loss (Scatter Plot) Most

MSIT | Master of Science in Information Technology Large-Scale Path Loss (Scatter Plot) Most points are less than d. B from the mean

MSIT | Master of Science in Information Technology Empirical Path Loss Models • Propagation

MSIT | Master of Science in Information Technology Empirical Path Loss Models • Propagation studies must take into account: – – Environment (rural, suburban, urban) Building characteristics (high-rise, houses, shopping malls) Vegetation density Terrain (mountainous, hilly, flat) • Okumura’s model (based on measurements in and around Tokyo) – Median path loss = free-space loss + urban loss + antenna gains + corrections – Obtained from graphs – Additional corrections for street orientation, irregular terrain • Numerous indoor propagation studies for 802. 11

MSIT | Master of Science in Information Technology SINR Measurements: 1 x. EV-DO drive

MSIT | Master of Science in Information Technology SINR Measurements: 1 x. EV-DO drive test plots

MSIT | Master of Science in Information Technology Link Budget How much power is

MSIT | Master of Science in Information Technology Link Budget How much power is required to achieve target S/I? • d. Bs add: Target S/I (d. B) + path loss (d. B) + other losses (components) (d. B) - antenna gains (d. B) Total Power needed at transmitter (d. B) • Actual power depends on noise level. – Given 1 microwatt noise power, if the transmit power is 60 d. B above the noise level then the transmit power is 1 Watt.

MSIT | Master of Science in Information Technology Example Transmitter What is the required

MSIT | Master of Science in Information Technology Example Transmitter What is the required Transmit power? wireless channel 40 d. B attenuation Receiver Received power must be > -30 d. Bm • Recall that d. Bm measures the signal power relative to 1 m. W (milliwatt) = 0. 001 Watt. To convert from S Watts to d. Bm, use S (d. Bm) = 10 log (S / 0. 001) • Transmitted power (d. Bm) = -30 + 40 = 10 d. Bm = 10 m. W • What if the received signal-to-noise ratio must be 5 d. B, and the noise power is -45 d. Bm?

MSIT | Master of Science in Information Technology Urban Multipath • No direct Line

MSIT | Master of Science in Information Technology Urban Multipath • No direct Line of Sight between mobile and base • Radio wave scatters off of buildings, cars, etc. • Severe multipath

MSIT | Master of Science in Information Technology Narrowband vs. Wideband • Narrowband means

MSIT | Master of Science in Information Technology Narrowband vs. Wideband • Narrowband means that the bandwidth of the transmitted signal is small (e. g. , < 100 k. Hz for cellular). It therefore looks “almost” like a sinusoid. – Multipath changes the amplitude and phase. • Wideband means that the transmitted signal has a large bandwidth (e. g. , > 1 MHz for cellular). – Multipath causes “self-interference”.

MSIT | Master of Science in Information Technology Narrowband Fading Received signal r(t) =

MSIT | Master of Science in Information Technology Narrowband Fading Received signal r(t) = h 1 s(t - 1 ) + h 2 s(t - 2) + h 3 s(t - 3 ) + … attenuation for path 1 (random) delay for path 1 (random) If the transmitted signal is sinusoidal (narrowband), s(t) = sin 2 f t, then the received signal is also sinusoidal, but with a different (random) amplitude and (random) phase: r(t) = A sin (2 f t + ) Transmitted s(t) Received r(t) A, depend on environment, location of transmitter/receiver

MSIT | Master of Science in Information Technology Rayleigh Fading Can show: A has

MSIT | Master of Science in Information Technology Rayleigh Fading Can show: A has a “Rayleigh” distribution has a “uniform” distribution (all phase shifts are equally likely) 2 Probability (A < a) = 1 – e-a /P 0 where P 0 is the average received power (averaged over different locations) Prob(A < a) 1 2/P 0 1 -e-a Ex: P 0 =1, a=1: Pr(A<1) = 1 – e-1 = 0. 63 a (probability that signal is faded) P 0 = 1, a=0. 1: Pr(A<0. 1) = 1 – e-1/100 ≈ 0. 01 (prob that signal is severely faded)

MSIT | Master of Science in Information Technology Small-Scale Fading

MSIT | Master of Science in Information Technology Small-Scale Fading

MSIT | Master of Science in Information Technology Small-Scale Fading Fade rate depends on

MSIT | Master of Science in Information Technology Small-Scale Fading Fade rate depends on • Mobile speed • Speed of surrounding objects • Frequency

MSIT | Master of Science in Information Technology Short- vs. Long-Term Fading Signal Strength

MSIT | Master of Science in Information Technology Short- vs. Long-Term Fading Signal Strength (d. B) Short-term fading Long-term fading T T Time (t) Long-term (large-scale) fading: • Distance attenuation • Shadowing (blocked Line of Sight (LOS)) • Variations of signal strength over distances on the order of a wavelength

MSIT | Master of Science in Information Technology Combined Fading and Attenuation Received power

MSIT | Master of Science in Information Technology Combined Fading and Attenuation Received power Pr (d. B) distance attenuation Time (mobile is moving away from base)

MSIT | Master of Science in Information Technology Combined Fading and Attenuation Received power

MSIT | Master of Science in Information Technology Combined Fading and Attenuation Received power Pr (d. B) distance attenuation shadowing Time (mobile is moving away from base)

MSIT | Master of Science in Information Technology Combined Fading and Attenuation Received power

MSIT | Master of Science in Information Technology Combined Fading and Attenuation Received power Pr (d. B) distance attenuation shadowing Rayleigh fading Time (mobile is moving away from base)

MSIT | Master of Science in Information Technology Example Diagnostic Measurements: 1 XEV-DO drive

MSIT | Master of Science in Information Technology Example Diagnostic Measurements: 1 XEV-DO drive test measurements drive path

MSIT | Master of Science in Information Technology Time Variations: Doppler Shift Audio clip

MSIT | Master of Science in Information Technology Time Variations: Doppler Shift Audio clip (train station)

MSIT | Master of Science in Information Technology Time Variations: Doppler Shift velocity v

MSIT | Master of Science in Information Technology Time Variations: Doppler Shift velocity v distance d = v t Propagation delay = distance d / speed of light c = vt/c transmitted signal s(t) delay increases received signal r(t) propagation delay Received signal r(t) = sin 2 f (t- vt/c) = sin 2 (f – fv/c) t received frequency Doppler shift fd = -fv/c

MSIT | Master of Science in Information Technology Doppler Shift (Ex) Mobile moving away

MSIT | Master of Science in Information Technology Doppler Shift (Ex) Mobile moving away from base v > 0, Doppler shift < 0 Mobile moving towards base v < 0, Doppler shift > 0 Carrier frequency f = 900 MHz, v = 60 miles/hour = 26. 82 meters/sec Mobile Base: fd = fv/c = (900 × 106) × 26. 82 / (3 × 108) ≈ 80 Hz meters/sec

MSIT | Master of Science in Information Technology Doppler (Frequency) Shift ½ Doppler “cycle”

MSIT | Master of Science in Information Technology Doppler (Frequency) Shift ½ Doppler “cycle” in phase Frequency= 1/50 out of phase Frequency= 1/45

MSIT | Master of Science in Information Technology Doppler Shift (Ex) Mobile moving away

MSIT | Master of Science in Information Technology Doppler Shift (Ex) Mobile moving away from base v > 0, Doppler shift < 0 Mobile moving towards base v < 0, Doppler shift > 0 Carrier frequency f = 900 MHz, v = 60 miles/hour = 26. 82 meters/sec Mobile Base: fd = fv/c = (900 × 106) × 26. 82 / (3 × 108) ≈ 80 Hz Suppose the data rate is 9600 bits/sec, 80 Hz Doppler shift phase inversion every (9600/80)/2 = 60 bits! As the data rate increases, Doppler shift becomes less significant, i. e. , channel is stable over more transmitted bits. IS-136 data rate: 48. 6 kbps GSM data rate 270 kbps

MSIT | Master of Science in Information Technology Application of Doppler Shift: Astronomy: used

MSIT | Master of Science in Information Technology Application of Doppler Shift: Astronomy: used to determine Relative velocity of Distant objects (e. g. , stars, galaxies…) Observed “spectral lines” (radiation is emitted at discrete frequencies) “red shift”: object is moving away “blue shift” object is moving closer sun light spectrum of galaxy supercluster

MSIT | Master of Science in Information Technology Application of Doppler Shift: Police Radar

MSIT | Master of Science in Information Technology Application of Doppler Shift: Police Radar Doppler shift can be used to compute relative speed.

MSIT | Master of Science in Information Technology Scattering: Doppler Spectrum distance d =

MSIT | Master of Science in Information Technology Scattering: Doppler Spectrum distance d = v t transmitted signal s(t) received signal ? ? power freq. • Received signal is the sum of all scattered waves • Doppler shift for each path depends on angle (vf cos /c ) frequency of s(t) • Typically assume that the received energy is the same from all directions (uniform scattering)

MSIT | Master of Science in Information Technology Scattering: Doppler Spectrum distance d =

MSIT | Master of Science in Information Technology Scattering: Doppler Spectrum distance d = v t transmitted signal s(t) power Doppler shift fd Doppler Spectrum (shows relative strengths of Doppler shifts) power 2 fd frequency of s(t) + Doppler shift fd

MSIT | Master of Science in Information Technology Scattering: Doppler Spectrum distance d =

MSIT | Master of Science in Information Technology Scattering: Doppler Spectrum distance d = v t transmitted signal s(t) power frequency of s(t) power Doppler spectrum 2 fd frequency of s(t) + Doppler shift fd

MSIT | Master of Science in Information Technology Rayleigh Fading deep fade phase shift

MSIT | Master of Science in Information Technology Rayleigh Fading deep fade phase shift Received waveform Amplitude (d. B)

MSIT | Master of Science in Information Technology Channel Coherence Time: Amplitude and phase

MSIT | Master of Science in Information Technology Channel Coherence Time: Amplitude and phase are nearly constant. • Rate of time variations depends on Doppler shift: (velocity X carrier frequency)/(speed of light) • Coherence Time varies as 1/(Doppler shift).

MSIT | Master of Science in Information Technology received amplitude Fast vs. Slow Fading

MSIT | Master of Science in Information Technology received amplitude Fast vs. Slow Fading transmitted bits time Fast fading: channel changes every few symbols. Coherence time is less than roughly 100 symbols. time Slow fading: Coherence time lasts more than a few 100 symbols.

MSIT | Master of Science in Information Technology Fade Rate (Ex) • fc =

MSIT | Master of Science in Information Technology Fade Rate (Ex) • fc = 900 MHz, v = 60 miles/hour Doppler shift ≈ 80 Hz. Coherence time is roughly 1/80, or 10 msec • Data rate (voice): 10 kbps or 0. 1 msec/bit 100 bits within a coherence time (fast fading) • GSM data rate: 270 kbps about 3000 bits within a coherence time (slow fading)

MSIT | Master of Science in Information Technology Channel Characterizations: Time vs. Frequency •

MSIT | Master of Science in Information Technology Channel Characterizations: Time vs. Frequency • Frequency-domain description Multipath channel input s(t) is a sinusoid “narrowband” signal • Time-domain description s(t) Amplitude attenuation, Delay (phase shift) r(t) Multipath channel time t multipath components input s(t) is an impulse (very short pulse) “wideband” signal (Note: an impulse has zero duration and infinite bandwidth!)

MSIT | Master of Science in Information Technology Pulse Width vs. Bandwidth Power signal

MSIT | Master of Science in Information Technology Pulse Width vs. Bandwidth Power signal pulse Narrowband T frequency time signal pulse Power Wideband time T bandwidth = 1/T frequency

MSIT | Master of Science in Information Technology Power-Delay Profile Received power vs. time

MSIT | Master of Science in Information Technology Power-Delay Profile Received power vs. time in response to a transmitted short pulse. delay spread For cellular systems (outdoors), the delay spread is typically a few microseconds.

MSIT | Master of Science in Information Technology Two-Ray Impulse Response reflection (path 2)

MSIT | Master of Science in Information Technology Two-Ray Impulse Response reflection (path 2) direct path (path 1) s(t) reflection is attenuated time t

MSIT | Master of Science in Information Technology Two-Ray Impulse Response reflection (path 2)

MSIT | Master of Science in Information Technology Two-Ray Impulse Response reflection (path 2) direct path (path 1) s(t) reflection is attenuated time t = [(length of path 2) – (length of path 1)]/c

MSIT | Master of Science in Information Technology Urban Multipath s(t) r(t) time t

MSIT | Master of Science in Information Technology Urban Multipath s(t) r(t) time t r(t) different location for receiver Spacing and attenuation of multipath components depend on location and environment. time t

MSIT | Master of Science in Information Technology Delay Spread and Intersymbol Interference s(t)

MSIT | Master of Science in Information Technology Delay Spread and Intersymbol Interference s(t) r(t) time t Multipath channel time t Time between pulses is >> delay spread, therefore the received pulses do not interfere. r(t) s(t) Multipath channel time t Time between pulses is < delay spread, which causes intersymbol interference. The rate at which symbols can be transmitted without intersymbol interference is 1 / delay spread.

MSIT | Master of Science in Information Technology Coherence Bandwidth coherence bandwidth Bc channel

MSIT | Master of Science in Information Technology Coherence Bandwidth coherence bandwidth Bc channel gain Frequencies far outside the coherence bandwidth are affected differently by multipath. f 1 f 2 frequency The channel gain is approximately constant within a coherence bandwidth Bc. Frequencies f 1 and f 2 fade independently if | f 1 – f 2 | >> Bc. If the signal bandwidth < coherence bandwidth Bc, then the channel is called flat fading, and the transmitted signal is regarded as narrowband. If the signal bandwidth > Bc, then the channel is called frequency-selective and the signal is regarded as wideband.

MSIT | Master of Science in Information Technology Coherence Bandwidth and Diversity channel gain

MSIT | Master of Science in Information Technology Coherence Bandwidth and Diversity channel gain signal power (wideband) coherence bandwidth Bc Frequencies far outside the coherence bandwidth are affected differently by multipath. f 1 f 2 frequency Frequency-selective fading: different parts of the signal (in frequency) are affected differently by fading.

MSIT | Master of Science in Information Technology Coherence Bandwidth and Diversity channel gain

MSIT | Master of Science in Information Technology Coherence Bandwidth and Diversity channel gain signal power (wideband) coherence bandwidth Bc Frequencies far outside the coherence bandwidth are affected differently by multipath. f 1 f 2 frequency Frequency-selective fading: different parts of the signal (in frequency) are affected differently by fading. Wideband signals exploit frequency diversity. Spreading power across many coherence bands reduces the chances of severe fading. Wideband signals are distorted by the channel fading (distortion causes Intersymbol interference).

MSIT | Master of Science in Information Technology Narrowband Signal channel gain signal power

MSIT | Master of Science in Information Technology Narrowband Signal channel gain signal power (narrowband) coherence bandwidth Bc Frequencies far outside the coherence bandwidth are affected differently by multipath. f 1 f 2 frequency Flat fading: the narrowband signal fades uniformly, hence does not benefit from frequency diversity. For the cellular band, Bc is around 100 to 300 k. Hz. How does this compare with the bandwidth of cellular systems?

MSIT | Master of Science in Information Technology Coherence Bandwidth and Delay Spread channel

MSIT | Master of Science in Information Technology Coherence Bandwidth and Delay Spread channel gain delay spread coherence bandwidth Bc delay spread channel gain frequency coherence bandwidth Bc frequency Coherence bandwidth is inversely proportional to delay spread: Bc ≈ 1/.

MSIT | Master of Science in Information Technology Pulse Width vs. Bandwidth Power signal

MSIT | Master of Science in Information Technology Pulse Width vs. Bandwidth Power signal pulse Narrowband T frequency time signal pulse Power Wideband time T bandwidth = 1/T frequency

MSIT | Master of Science in Information Technology Bandwidth and Multipath Resolution reflection (path

MSIT | Master of Science in Information Technology Bandwidth and Multipath Resolution reflection (path 2) direct path (path 1) signal pulse (delay spread) T> T Narrow bandwidth low resolution Receiver cannot distinguish the two paths. multipath components are resolvable signal pulse T< Wide bandwidth high resolution Receiver can clearly distinguish two paths.

MSIT | Master of Science in Information Technology Bandwidth and Multipath Resolution reflection (path

MSIT | Master of Science in Information Technology Bandwidth and Multipath Resolution reflection (path 2) direct path (path 1) multipath components are resolvable signal pulse The receiver can easily distinguish the two paths provided that they are separated by much more than the pulse width T. Since the signal bandwidth B ≈ 1/T, this implies B >> 1/ , or B >> Bc. . Wide bandwidth high resolution Receiver can clearly distinguish two paths.

MSIT | Master of Science in Information Technology Multipath Resolution and Diversity reflection (path

MSIT | Master of Science in Information Technology Multipath Resolution and Diversity reflection (path 2) direct path (path 1) multipath components are resolvable signal pulse Each path may undergo independent fading (i. e. , due to Doppler). If one path is faded, the receiver may be able to detect the other path. In the frequency domain, this corresponds to independent fading in different coherence bands. Wide bandwidth high resolution Receiver can clearly distinguish two paths.

MSIT | Master of Science in Information Technology Fading Experienced by Wireless Systems Standard

MSIT | Master of Science in Information Technology Fading Experienced by Wireless Systems Standard AMPS IS-136 GSM IS-95 (CDMA) 3 G Flat/Freq. -Sel. Flat F-S F-S Fast/Slow Fast Slow to Fas (depends on rate) 802. 11 Bluetooth F-S Slow

MSIT | Master of Science in Information Technology Bandwidth and Location Tracking reflection delay

MSIT | Master of Science in Information Technology Bandwidth and Location Tracking reflection delay = 2 x distance/c s(t) delay s(t) r(t) time t r(t) Narrow bandwidth pulse High bandwidth pulse time t

MSIT | Master of Science in Information Technology Bandwidth and Geolocation reflection delay =

MSIT | Master of Science in Information Technology Bandwidth and Geolocation reflection delay = 2 x distance/c s(t) The resolution of the delay measurement is roughly the width of the pulse. r(t) Low bandwidth wide pulse low resolution High bandwidth narrow pulse high resolution time t Ex: If the delay measurement changes by 1 microsec, the distance error is c x 10 -6 = 300 meters!

MSIT | Master of Science in Information Technology Propagation and Handoff Received Signal Strength

MSIT | Master of Science in Information Technology Propagation and Handoff Received Signal Strength (RSS) from right BST from left BST unacceptable (call is dropped) time

MSIT | Master of Science in Information Technology Propagation and Handoff Received Signal Strength

MSIT | Master of Science in Information Technology Propagation and Handoff Received Signal Strength (RSS) from right BST handoff threshold with handoff from left BST unacceptable (call is dropped) time

MSIT | Master of Science in Information Technology Propagation and Handoff Received Signal Strength

MSIT | Master of Science in Information Technology Propagation and Handoff Received Signal Strength (RSS) from right BST with handoff threshold RSS margin from left BST unacceptable (call is dropped) time needed for handoff time

MSIT | Master of Science in Information Technology Propagation and Handoff Received Signal Strength

MSIT | Master of Science in Information Technology Propagation and Handoff Received Signal Strength (RSS) from right BST handoff threshold RSS margin from left BST unacceptable (call is dropped) time needed for handoff time

MSIT | Master of Science in Information Technology Handoff Threshold Received Signal Strength (RSS)

MSIT | Master of Science in Information Technology Handoff Threshold Received Signal Strength (RSS) from right BST handoff threshold RSS margin from left BST unacceptable (call is dropped) time needed for handoff time • Handoff threshold too high too many handoffs (ping pong) • Handoff threshold too low dropped calls are likely • Threshold should depend on slope on vehicle speed (Doppler).

MSIT | Master of Science in Information Technology Handoff Measurements (3 G) • Mobile

MSIT | Master of Science in Information Technology Handoff Measurements (3 G) • Mobile maintains a list of neighbor cells to monitor. • Mobile periodically measures signal strength from BST pilot signals. • Mobile sends measurements to network to request handoff. • Handoff decision is made by network. – Depends on available resources (e. g. , channels/time slots/codes). Handoffs take priority over new requests (why? ). – Hysteresis needed to avoid handoffs due to rapid variations in signal strength.

MSIT | Master of Science in Information Technology Handoff Decision • Depends on RSS,

MSIT | Master of Science in Information Technology Handoff Decision • Depends on RSS, time to execute handoff, hysteresis, and dwell (duration of RSS) – – • 1 G (AMPS): Network Controlled Handoff (NCHO) – • Handoff is based on measurements at BS, supervised by MSC. 2 G, GPRS: Mobile Assisted Handoff (MAHO) – – • Proprietary methods Handoff may also be initiated for balancing traffic. Handoff relies on measurements at mobile Enables faster handoff Mobile data, WLANs (802. 11): Mobile Controlled Handoff (MCHO) – Handoff controlled by mobile

MSIT | Master of Science in Information Technology Soft Handoff (CDMA) ”Make before break”

MSIT | Master of Science in Information Technology Soft Handoff (CDMA) ”Make before break” BEFORE DURING MSC BSC AFTER BSC MSC BSC BSC Hard Handoff (TDMA) MSC BSC BSC

MSIT | Master of Science in Information Technology Types of Small-Scale Fading Based on

MSIT | Master of Science in Information Technology Types of Small-Scale Fading Based on multipath time delay spread Flat Fading Frequency Selective Fading 1. BW of signal < BW of channel 2. Delay spread < Symbol period 1. BW of signal > BW of channel 2. Delay spread > Symbol period Small-Scale Fading Based on Doppler spread Fast Fading 1. High Doppler spread 2. Coherence time < Symbol period 3. Channel variations faster than baseband signal variations Slow Fading 1. Low Doppler spread 2. Coherence time > Symbol period 3. Channel variations slower than baseband signal variations

MSIT | Master of Science in Information Technology Types of Small-Scale Signal Fading as

MSIT | Master of Science in Information Technology Types of Small-Scale Signal Fading as a Function of Symbol Period and Signal Bandwidth Symbol Period Ts Relative to delay spread Flat Slow Fading Flat Fast Fading delay spread Frequency-Selective Slow Fading Frequency-Selective Fast Fading Tc (coherence time) Ts Symbol Period relative to coherence time. Signal BW B s relative to channel BW coherence BW Bc Frequency Selective Fast Fading Flat Fast Fading Frequency Selective Slow Fading Flat Slow Fading Bd = fd (Doppler shift) Signal bandwidth relative to Doppler shift Bs