Outlines. Attenuation due to Atmospheric Gases Rain attenuation Depolarization Scintillations Effect. Introduction

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PROPAGATION EFFECTS

Outlines 2 Introduction Attenuation due to Atmospheric Gases Rain attenuation Depolarization Scintillations Effect 27-Nov-16 Networks and Communication Department

Loss statistics encountered by a signal for a typical Ku-band communications link. In most communications links, an allowance in power margin is built into the link so that the received signal is above the threshold for satisfactory demodulation and decoding. This power margin is commonly referred to as the fade margin since the signal appears to fade below the level established in clear sky conditions. The link experiences an equivalent fade of about 6 db before it reaches the performance threshold level established for the link. A further fade of 2 db, making a total reduction in signal level of 8 db, takes the link below the availability level established for the link The relationship between power level, fade margin, and BER, will depend on the modulation used. It will also depend on

Bit Error Rate (BER) statistic for a typical communications link. A link is normally designed to provide a given performance specification for a very high percentage of the time. In this example, a BER of 10-8 is the performance required for 99.9% of the time. The time period over which the statistics are taken is usually a year or a month. Atmospheric constituents (gases, clouds, rain, etc.) will cause the BER in clear sky conditions to degrade. At some point, the BER will reach the level at which an outage is declared. This point defines the availability specification. In this example, a BER of 10-6 is the availability threshold and it must be met, in this example, for a minimum of 0.01% of the time.

Various Propagation Loss Mechanisms The earth terminal is directed toward a satellite. Refractive effects; gases; a rain cloud, melting layer, and rain, all exist in the path and cause signal loss. The absorptive effects of the atmospheric cause an increase in sky noise to be observed by receiver. While atmospheric gases do not cause signal depolarization, Rain particles can depolarize the transmissions through them. Above the lower atmosphere is the ionosphere, which begins at about 40 km and extends well above 600 km. The ionosphere can cause the electric vector of signals passing through it to rotate away from their original polarization direction, hence causing signal depolarization. The ionosphere has its principal impact on signals at frequencies well below 10 GHz while the other effects noted in the figure above become increasingly strong as the frequency of the signal goes above 10 GHz. Most rainstorms occur below 10 km altitude and the ionosphere is not normally present below 40 km, and extends to more than 1000 km above the earth.

6 Atmospheric Gases 27-Nov-16 Networks and Communication Department

Total attenuation due to atmospheric gases from 3 to 350 GHz The two curves represent the gaseous attenuation that would be observed looking straight up from sea level Curve A is for a dry atmosphere (i.e., no water vapor present) while curve B is for a standard atmosphere Curve A shows only the resonant absorption peaks of the oxygen molecules (a broad peak at 60 GHz and a narrow peak at 118.75 GHz). Curve B includes the resonant absorption peaks due to the water vapor molecule at 22.235, 183.31, and 325.153 GHz

8 Rain Attenuation 27-Nov-16 Networks and Communication Department

Calculation of Rain Attenuation Attenuation, A(t), on satellite communication links operating at C, Ku, and Ka band is caused by absorption of signal in rain. Rain attenuation can be calculated as follows: Determine the rain rate for time of percentage Calculate the specific attenuation in db/km Find the effective length of path Two separate atmospheric mechanism have different effects on satellite path: Stratiform rain and Convective rain

Stratiform rain situation In this case, a widespread system of stratiform rain that is rain that appears to be stratified horizontally completely covers the path to the satellite from the ground up to the point where the rain temperature is 0 C. This level is called the melting level because, above it, the precipitation is frozen and consists of snow and ice crystal particles. Frozen precipitation causes negligible attenuation. In general, the signal path in stratiform rain will exit the rain through the top of the rain structure.

Convective rain situation In this case, a tall column of convective rain enters the satellite-to-ground path. In some cases the storm will be in front of the earth station; in others, behind it. In many cases, the melting level is not well defined, as the strong convective activity inside the storm will push the liquid rain well above the melting level height. Except for paths with very high elevation angles (>70 ), the signal path in convective rain will most often exit from the side of a convective rainstorm

Example: Stratiform rain attenuation calculation procedure In the case of stratiform rain, the rainfall rate along the path can be considered to be uniform and the path completely immersed in the rain. The effective path through the rain the path over which the rain may be considered to be uniform is therefore the same as the physical path length in stratiform rain. The path attenuation A is therefore the specific attenuation (i.e., db attenuation per km) multiplied by the physical path length in the rain (i.e., h r /sin).

Geometry of a satellite path through rain. The height of the melting layer, shown as H e here, is normally considered to be the highest point at which rain attenuation occurs. The rain fills the volume between the melting layer height and the ground. The height of the earth station above mean sea level is given by H 0.

Example of different path length geometries In both cases, a similar rainstorm exists in the slant path. In case A, the path to the satellite exits through the side of the storm cell while in case B it exits through the top The only difference between the two paths is the elevation angle to the satellite.

Cumulative statistics of rainfall rate and path attenuation For a given time percentage, P, the rainfall rate is read off the rainfall rate statistics and the path attenuation is read off the path attenuation statistics. If the data for the two parameters have been taken over a long enough period (at least a year; longer periods in multiples years), R(P) and A(P) are strongly related. Some models use the full rainfall rate statistics to develop path attenuation statistics. Others use one time percentage to relate the two statistics (e.g., the 0.01% point) and develop the second set of statistics from that single point.

Typical rainfall rate cumulative probability distributions or exceedance curves The 1979 data indicate a relatively dry year, while those of 1981 indicate a relatively wet year. Despite this, a single, rare thunderstorm in 1979 produced much higher rainfall rates than those observed in 1981 at low time percentages. The availability level the link has to operate at will determine what rainfall rate is of most importance and it will also give a range over which the design must cope. For example, if 0.01% was the availability requirement, in 1979 the rainfall rate for this time percentage was 38 mm/h while in 1981 it was 58 mm/h. This shows the value of long-term statistics so that one year s data do not bias the link design.

Example: Rain climatic zones for the Americas

Example: Rainfall rate exceedance contours for the Americas This was the first of a set of three rainfall rate exceedance contours that were developed for the world. In this version, the contours only existed over land.

Example: Rain intensity (mm/h) exceeded for 0.01% of the average year This map provides rainfall rate contours for the Northern Hemisphere between longitudes 300 E and 80 E (Europe, North Africa, the Middle East, and parts of Russia, India, and China).

20 Depolarization 27-Nov-16 Networks and Communication Department

Orthogonally polarized waveguide horn antennas The polarization of an electromagnetic wave is defined by the orientation of the electric vector. The top horn is oriented such that the electric vector is vertically polarized; the bottom horn is turned on its side compared with the top horn and so the electric vector is horizontally polarized. Orthogonally polarized signals do not interfere with each other, even if they are at exactly the same frequency, provided they are purely polarized In addition, some of the energy in one polarization can cross over to the other polarization due to asymmetric particles (e.g., large, oblate raindrops) existing in the propagation path. So a component exists in the unwanted polarization. This cross-polarized energy can give rise to interference between the two, mutually orthogonal polarizations. The degree of cross-polarization to be expected along a given path is predicted using crosspolarization models that are usually based on the rain attenuation along the path

Illustration of signal depolarization in the transmission path The transmitted fields a and b produce copolarized components a c and b c at the receiving antenna. These cross-polarized components at the receiving antenna are a x and b x. With perfect antennas and in the absence of depolarization a x and b x would be zero.

Example: Rain depolarization based on a drop with an elliptical cross section An incident electromagnetic wave with electric field vector E i strikes a raindrop. We resolve it into a horizontal component E ii H and a vertical component E i V. The horizontal component is attenuated more than the vertical component because it encounters more water. Thus, when we recombine the horizontal and vertical field components E r H and E r V that arrive at the receiver, we find that the received wave E r has had its polarization rotated toward the vertical by the angle.

24 Scintillations Effect 27-Nov-16 Networks and Communication Department

Scintillations Effect In (a), the air is calm and the lower atmosphere next to the earth s surface (the boundary layer) forms into layers. Each layer has a slightly different refractive index, decreasing in general with height. In (b), the earth s surface has become heated by energy from the sun and the resultant convective activity has mixed the formerly stratified layers into bubbles that have different refractive indices. The turbulent mixing of the lower atmosphere will cause relatively rapid fluctuations in a signal passing through it, which are called scintillations.

Scintillations Effect Scintillations observed under a variety of weather conditions on a 30-GHz Scintillations with various amplitudes can be observed under different weather conditions. Two of the data sets were taken in clear weather, two in cloud conditions, and two during rain, as follows: (a) clear-weather copolar signal with low scintillation; (b) clear-weather copolar signal with high scintillation; (c) copolar scintillation in cloud; (d) copolar scintillation in cloud; (e) copolar scintillation and attenuation in rain; (f) copolar scintillation and attenuation in rain.

27 Q & A 27-Nov-16 Networks and Communication Department