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Fading Techniques . Rayleigh Fading Channel. We starts from additive white Gaussian noise (AWGN), with statistically independent Guassian noise sample corrupting data samples free of intersymbol interference (ISI). Causes to degradation: Thermal noise at the receiver
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Rayleigh Fading Channel • We starts from additive white Gaussian noise (AWGN), with statistically independent Guassian noise sample corrupting data samples free of intersymbol interference (ISI). • Causes to degradation: • Thermal noise at the receiver • External interference received by the antenna • Signal attenuation vs. distance
Rayleigh Fading Channel • Path loss or free space loss: Ls(d) = (4d)2 where Ls(d): path loss d: distance between transmitter and receiver : wavelength of the propagation signal • For this case of idealized propagation, received signal power is very predictable.
Rayleigh Fading Channel • In wireless sys, a signal can travels over multiple reflective paths, which is referred to as multipath propagation. It causes to multipath fadingor scintillation. • Scintillation described the multipath fading caused by physical changes in the propagation medium.
a b No direct path Diffracted wave Reflected wave a a Antenna Antenna y = a + b y = 0 b b Complete fading when 2d/ = n, d is the path difference Multipath Propagation - Fading a & b are in phase a & b are out of phase by
Mobile Radio Propagation: Large-Scale and Small-Scale Fading • Large Scale Fading at Fig. 1: • Large scale fading due to motion over large areas • Mean signal attenuation vs. distance • Variation about the mean • These above fadings are affected by prominent terrain contours. It is as being “shadowing”. • It described in terms of a mean-path loss (nth-power law) & log-normally distribution variation.
Mobile Radio Propagation: Large-Scale and Small-Scale Fading • Small Scale Fading at Fig. 1: • Small-scale fading due to small changes in position • Time spreading of the signal • Time variance of the channel • Small scale fading manifests itself in: • Time-spreading of the signal (or signal dispersion) • Time-variant bahavior of the channel • Small scale fading is also called Rayleigh fading
Mobile Radio Propagation: Large-Scale and Small-Scale Fading • Generally: r(t) = s(t) * hc(t) , where: * : convolution r(t): receive signal s(t): transmitted signal hc(t): the impulse response of the channel
Mobile Radio Propagation: Large-Scale and Small-Scale Fading • In case of mobile radios: r(t) = m(t) x r0(t), where: m(t): large-scale-fading component or local mean or log-normal fading. r0(t): Small-scale-fading component or multipath or Rayleigh fading.
Challenges of Communicating Over Fading Channels • Sources of noise degrade the system performance • AWGN (ex. Thermal noise) • Man-made and natural noise • Interferences • Band-limiting filter induces the ISI effect • Radio channel results in propagation loss • Signal attenuation versus distance over free space. For example, • Multi-path fading cause fluctuations in the received amplitude, phase, angle of arrival
Characterizing Mobile-radio Propagation • Large-scale fading • Signal power attenuation due to motion over large area • Is caused by the prominent terrain (ex. hills, forest, billboard…) between the transmitter and the receiver • Statistics of path loss over the large-scale fading • Mean-path loss (nth-power law) • Log-normal distributed variation about the mean • Is evaluated by averaging the received signal over 10 to 30 wavelengths
Characterizing Mobile-radio Propagation • Small-scale fading • Time-spreading of the signal • Time delays of multi-path arrival • Time-variant behavior of the channel • Motion between the transmitter and the receiver results in propagation path changes • Statistics of envelop over the small-scale fading • Rayleigh fading if there are large number of reflective paths, and if there is no line-of –sight signal components • Rician pdf while a line-of-sight propagation path is added to the multiple reflective paths
Basic Mechanisms for Signal Propagation • Reflection • Electromagnetic wave impinges on a smooth surface with very large dimensions relative to the RF wavelength • Diffraction • Propagation path between the transmitter and the receiver is obstructed by a dense body, causing secondary waves to be formed behind the obstructing body • Scattering • A radio wave impinges on either a large, rough surface or any surface whose dimensions are on the order of l or less, causing the energy to be spread out