Rain Attenuation in Decibels Calculator

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Radio Wave Propagation

Geostationary Orbit

Satellite Orbital Characteristics

✖Specific attenuation refers to the loss of signal power due to various atmospheric phenomena that affect the transmission of electromagnetic waves between a satellite and an Earth station.ⓘ Specific Attenuation [α]			+10% -10%
✖A rain rate of 0.001 percent means that the rain rate would be exceeded for 0.001 percent of a year.ⓘ Rain Rate [R_p]			+10% -10%
✖Specific Attenuation Coefficient refers to the loss of signal power due to various atmospheric phenomena that affect the transmission of electromagnetic waves between a satellite and an Earth station.ⓘ Specific Attenuation Coefficient [b]			+10% -10%
✖Slant Length refers to the length of path followed by the radio wave signal as it travels from the transmitting satellite to the receiving satellite ground station.ⓘ Slant Length [L_slant]			+10% -10%
✖The reduction factor represents the factor by which the effective path length is reduced compared to the straight-line distance between the observer and the satellite.ⓘ Reduction Factor [r_p]			+10% -10%

✖Rain attenuation is a function of rain rate. By rain rate is meant the rate at which rainwater would accumulate in a rain gauge.ⓘ Rain Attenuation in Decibels [A_p]

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Formula

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Rain Attenuation in Decibels

Formula

`"A"_{"p"} = "α"*"R"_{"p"}^"b"*"L"_{"slant"}*"r"_{"p"}`

Example

`"0.780338dB"="0.03dB"*("10mm")^"1.332(dB/km)/(g/m³)"*"14.117km"*"0.85"`

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Rain Attenuation in Decibels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rain Attenuation = Specific Attenuation*Rain Rate^Specific Attenuation Coefficient*Slant Length*Reduction Factor
A_p = α*R_p^b*L_slant*r_p
This formula uses 6 Variables

Variables Used

Rain Attenuation - (Measured in Decibel) - Rain attenuation is a function of rain rate. By rain rate is meant the rate at which rainwater would accumulate in a rain gauge.
Specific Attenuation - (Measured in Decibel) - Specific attenuation refers to the loss of signal power due to various atmospheric phenomena that affect the transmission of electromagnetic waves between a satellite and an Earth station.
Rain Rate - (Measured in Meter) - A rain rate of 0.001 percent means that the rain rate would be exceeded for 0.001 percent of a year.
Specific Attenuation Coefficient - (Measured in Decibel per Meter per Kilogram per Cubic Meter) - Specific Attenuation Coefficient refers to the loss of signal power due to various atmospheric phenomena that affect the transmission of electromagnetic waves between a satellite and an Earth station.
Slant Length - (Measured in Meter) - Slant Length refers to the length of path followed by the radio wave signal as it travels from the transmitting satellite to the receiving satellite ground station.
Reduction Factor - The reduction factor represents the factor by which the effective path length is reduced compared to the straight-line distance between the observer and the satellite.

STEP 1: Convert Input(s) to Base Unit

Specific Attenuation: 0.03 Decibel --> 0.03 Decibel No Conversion Required
Rain Rate: 10 Millimeter --> 0.01 Meter (Check conversion here)
Specific Attenuation Coefficient: 1.332 Decibel per Kilometer per Gram per Cubic Meter --> 1.332 Decibel per Meter per Kilogram per Cubic Meter (Check conversion here)
Slant Length: 14.117 Kilometer --> 14117 Meter (Check conversion here)
Reduction Factor: 0.85 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_p = α*R_p^b*L_slant*r_p --> 0.03*0.01^1.332*14117*0.85

Evaluating ... ...

A_p = 0.78033771061736

STEP 3: Convert Result to Output's Unit

0.78033771061736 Decibel --> No Conversion Required

FINAL ANSWER

0.78033771061736 ≈ 0.780338 Decibel <-- Rain Attenuation

(Calculation completed in 00.004 seconds)

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Credits

Created by Passya Saikeshav Reddy

CVR COLLEGE OF ENGINEERING (CVR), India

Passya Saikeshav Reddy has created this Calculator and 10+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 14 Radio Wave Propagation Calculators

Rain Attenuation in Decibels

Go Rain Attenuation = Specific Attenuation*Rain Rate^Specific Attenuation Coefficient*Slant Length*Reduction Factor

Specific Attenuation in Clouds or Fogs

Go Specific Attenuation due to Clouds = (Total Content of Liquid Water*Specific Attenuation Coefficient)/sin(Angle of Elevation)

Regression of Nodes

Go Regression Node = (Mean Motion*SCOM Constant)/(Semi Major Axis^2*(1-Eccentricity^2)^2)

Earth Station Altitude

Go Earth Station Altitude = Height of Rain-Slant Length*sin(Angle of Elevation)

Rain Height

Go Height of Rain = Slant Length*sin(Angle of Elevation)+Earth Station Altitude

Distribution of Rain Attenuation

Go Distribution of Rain Attenuation = 1+((2*Horizontal Projection Length)/(pi*Diameter of Rain Cell))

Horizontal Projection of Slant Length

Go Horizontal Projection Length = Slant Length*cos(Angle of Elevation)

Effective Path Length

Go Effective Path Length = Total Attenuation/Specific Attenuation

Specific Attenuation

Go Specific Attenuation = Total Attenuation/Effective Path Length

Total Attenuation

Go Total Attenuation = Effective Path Length*Specific Attenuation

Effective Path Length using Reduction Factor

Go Effective Path Length = Slant Length*Reduction Factor

Reduction Factor using Slant Length

Go Reduction Factor = Effective Path Length/Slant Length

Slant Length

Go Slant Length = Effective Path Length/Reduction Factor

Plasma Frequency Terms of Electronic Density

Go Plasma Frequency = 9*sqrt(Electron Density)

Rain Attenuation in Decibels Formula

Rain Attenuation = Specific Attenuation*Rain Rate^Specific Attenuation Coefficient*Slant Length*Reduction Factor
A_p = α*R_p^b*L_slant*r_p

What is attenuation in satellite communication?

In satellite communication, attenuation refers to the reduction in the strength of a signal as it travels through various mediums, such as the Earth's atmosphere or space.In calculations
relating to radio wave attenuation, the rain rate is measured in millimeters per hour.

How to Calculate Rain Attenuation in Decibels?

Rain Attenuation in Decibels calculator uses Rain Attenuation = Specific Attenuation*Rain Rate^Specific Attenuation Coefficient*Slant Length*Reduction Factor to calculate the Rain Attenuation, The Rain Attenuation in Decibels formula is defined as a function of rain rate. By rain rate is meant the rate at which rainwater would accumulate in a rain gauge situated at the ground in the region of interest. Rain Attenuation is denoted by A_p symbol.

How to calculate Rain Attenuation in Decibels using this online calculator? To use this online calculator for Rain Attenuation in Decibels, enter Specific Attenuation (α), Rain Rate (R_p), Specific Attenuation Coefficient (b), Slant Length (L_slant) & Reduction Factor (r_p) and hit the calculate button. Here is how the Rain Attenuation in Decibels calculation can be explained with given input values -> 0.780338 = 0.03*0.01^1.332*14117*0.85.

FAQ

What is Rain Attenuation in Decibels?

The Rain Attenuation in Decibels formula is defined as a function of rain rate. By rain rate is meant the rate at which rainwater would accumulate in a rain gauge situated at the ground in the region of interest and is represented as A_p = α*R_p^b*L_slant*r_p or Rain Attenuation = Specific Attenuation*Rain Rate^Specific Attenuation Coefficient*Slant Length*Reduction Factor. Specific attenuation refers to the loss of signal power due to various atmospheric phenomena that affect the transmission of electromagnetic waves between a satellite and an Earth station, A rain rate of 0.001 percent means that the rain rate would be exceeded for 0.001 percent of a year, Specific Attenuation Coefficient refers to the loss of signal power due to various atmospheric phenomena that affect the transmission of electromagnetic waves between a satellite and an Earth station, Slant Length refers to the length of path followed by the radio wave signal as it travels from the transmitting satellite to the receiving satellite ground station & The reduction factor represents the factor by which the effective path length is reduced compared to the straight-line distance between the observer and the satellite.

How to calculate Rain Attenuation in Decibels?

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