## Omnidirectional SIR Solution

STEP 0: Pre-Calculation Summary
Formula Used
Omnidirectional SIR = 1/(2*(Frequency Reuse Ratio-1)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio+1)^(-Propagation Path Loss Exponent))
SIRomn = 1/(2*(q-1)^(-γ)+2*(q)^(-γ)+2*(q+1)^(-γ))
This formula uses 3 Variables
Variables Used
Omnidirectional SIR - Omnidirectional SIR represents the ratio of the signal strength from a mobile device to the interference it experiences from co-channel cells, assuming omnidirectional antennas.
Frequency Reuse Ratio - Frequency Reuse Ratio refers to the ratio of the total number of available frequency channels to the number of channels used in a single cell or sector.
Propagation Path Loss Exponent - Propagation Path Loss Exponent s a parameter used to model the path loss experienced by a signal as it travels through a medium and its value is 2 for Radar Communications.
STEP 1: Convert Input(s) to Base Unit
Frequency Reuse Ratio: 1.78 --> No Conversion Required
Propagation Path Loss Exponent: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SIRomn = 1/(2*(q-1)^(-γ)+2*(q)^(-γ)+2*(q+1)^(-γ)) --> 1/(2*(1.78-1)^(-2)+2*(1.78)^(-2)+2*(1.78+1)^(-2))
Evaluating ... ...
SIRomn = 0.239387349159519
STEP 3: Convert Result to Output's Unit
0.239387349159519 --> No Conversion Required
0.239387349159519 0.239387 <-- Omnidirectional SIR
(Calculation completed in 00.004 seconds)
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## Credits

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## < 14 Radar Antennas Reception Calculators

Omnidirectional SIR
Omnidirectional SIR = 1/(2*(Frequency Reuse Ratio-1)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio+1)^(-Propagation Path Loss Exponent))
Dielectric Constant of Artificial Dielectric
Dielectric Constant of Artificial Dielectric = 1+(4*pi*Radius of Metallic Spheres^3)/(Spacing between Centers of Metallic Sphere^3)
Maximum Gain of Antenna given Antenna Diameter
Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2
Metal-Plate Lens Refractive Index
Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2)
Spacing between Centers of Metallic Sphere
Spacing between Centers of Metallic Sphere = Incident Wave Wavelength/(2*sqrt(1-Metal Plate Refractive Index^2))
Overall Noise Figure of Cascaded Networks
Overall Noise Figure = Noise Figure Network 1+(Noise Figure Network 2-1)/Gain of Network 1
Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2
Luneburg Lens Refractive Index
Likelihood Ratio Receiver = Probability Density Function of Signal and Noise/Probability Density Function of Noise
Frequency Reuse Ratio
Frequency Reuse Ratio = (6*Signal to Co-channel Interference Ratio)^(1/Propagation Path Loss Exponent)
Directive Gain
Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane)
Signal to Co-channel Interference Ratio
Signal to Co-channel Interference Ratio = (1/6)*Frequency Reuse Ratio^Propagation Path Loss Exponent
Effective Aperture of Lossless Antenna
Effective Aperture of Lossless Antenna = Antenna Aperture Efficiency*Physical Area of an Antenna
Effective Noise Temperature
Effective Noise Temperature = (Overall Noise Figure-1)*Noise Temperature Network 1

## Omnidirectional SIR Formula

Omnidirectional SIR = 1/(2*(Frequency Reuse Ratio-1)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio+1)^(-Propagation Path Loss Exponent))
SIRomn = 1/(2*(q-1)^(-γ)+2*(q)^(-γ)+2*(q+1)^(-γ))

## How is Omnidirectional SIR useful?

Network planners and engineers use the Omnidirectional SIR metric to design and optimize the frequency reuse pattern in a cellular network. By adjusting parameters such as cell size, transmit power, and frequency reuse, they aim to achieve a balance between coverage and capacity while minimizing interference..

## How to Calculate Omnidirectional SIR?

Omnidirectional SIR calculator uses Omnidirectional SIR = 1/(2*(Frequency Reuse Ratio-1)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio+1)^(-Propagation Path Loss Exponent)) to calculate the Omnidirectional SIR, Omnidirectional SIR represents the ratio of the signal strength from a mobile device to the interference it experiences from co-channel cells, assuming omnidirectional antennas. Omnidirectional antennas transmit and receive signals equally in all directions. Omnidirectional SIR is denoted by SIRomn symbol.

How to calculate Omnidirectional SIR using this online calculator? To use this online calculator for Omnidirectional SIR, enter Frequency Reuse Ratio (q) & Propagation Path Loss Exponent (γ) and hit the calculate button. Here is how the Omnidirectional SIR calculation can be explained with given input values -> 0.239387 = 1/(2*(1.78-1)^(-2)+2*(1.78)^(-2)+2*(1.78+1)^(-2)).

### FAQ

What is Omnidirectional SIR?
Omnidirectional SIR represents the ratio of the signal strength from a mobile device to the interference it experiences from co-channel cells, assuming omnidirectional antennas. Omnidirectional antennas transmit and receive signals equally in all directions and is represented as SIRomn = 1/(2*(q-1)^(-γ)+2*(q)^(-γ)+2*(q+1)^(-γ)) or Omnidirectional SIR = 1/(2*(Frequency Reuse Ratio-1)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio+1)^(-Propagation Path Loss Exponent)). Frequency Reuse Ratio refers to the ratio of the total number of available frequency channels to the number of channels used in a single cell or sector & Propagation Path Loss Exponent s a parameter used to model the path loss experienced by a signal as it travels through a medium and its value is 2 for Radar Communications.
How to calculate Omnidirectional SIR?
Omnidirectional SIR represents the ratio of the signal strength from a mobile device to the interference it experiences from co-channel cells, assuming omnidirectional antennas. Omnidirectional antennas transmit and receive signals equally in all directions is calculated using Omnidirectional SIR = 1/(2*(Frequency Reuse Ratio-1)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio+1)^(-Propagation Path Loss Exponent)). To calculate Omnidirectional SIR, you need Frequency Reuse Ratio (q) & Propagation Path Loss Exponent (γ). With our tool, you need to enter the respective value for Frequency Reuse Ratio & Propagation Path Loss Exponent and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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