Omnidirectional SIR Calculator

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Radar Antennas Reception

Radar & Antenna Specifications

Special Purpose Radars

✖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.ⓘ Frequency Reuse Ratio [q]			+10% -10%
✖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.ⓘ Propagation Path Loss Exponent [γ]			+10% -10%

✖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 SIR [SIR_omn]

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Formula

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Omnidirectional SIR

Formula

`"SIR"_{"omn"} = 1/(2*("q"-1)^(-"γ")+2*("q")^(-"γ")+2*("q"+1)^(-"γ"))`

Example

`"0.239387"=1/(2*("1.78"-1)^(-"2")+2*("1.78")^(-"2")+2*("1.78"+1)^(-"2"))`

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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))
SIR_omn = 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

SIR_omn = 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 ... ...

SIR_omn = 0.239387349159519

STEP 3: Convert Result to Output's Unit

0.239387349159519 --> No Conversion Required

FINAL ANSWER

0.239387349159519 ≈ 0.239387 <-- Omnidirectional SIR

(Calculation completed in 00.004 seconds)

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Credits

Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has created this Calculator and 50+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 600+ more calculators!

< 14 Radar Antennas Reception Calculators

Omnidirectional SIR

Go 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

Go 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

Go Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2

Metal-Plate Lens Refractive Index

Go Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2)

Spacing between Centers of Metallic Sphere

Go Spacing between Centers of Metallic Sphere = Incident Wave Wavelength/(2*sqrt(1-Metal Plate Refractive Index^2))

Overall Noise Figure of Cascaded Networks

Go Overall Noise Figure = Noise Figure Network 1+(Noise Figure Network 2-1)/Gain of Network 1

Receiver Antenna Gain

Go Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2

Luneburg Lens Refractive Index

Go Luneburg Lens Refractive Index = sqrt(2-(Radial Distance/Radius of Luneburg Lens)^2)

Likelihood Ratio Receiver

Go Likelihood Ratio Receiver = Probability Density Function of Signal and Noise/Probability Density Function of Noise

Frequency Reuse Ratio

Go Frequency Reuse Ratio = (6*Signal to Co-channel Interference Ratio)^(1/Propagation Path Loss Exponent)

Directive Gain

Go Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane)

Signal to Co-channel Interference Ratio

Go Signal to Co-channel Interference Ratio = (1/6)*Frequency Reuse Ratio^Propagation Path Loss Exponent

Effective Aperture of Lossless Antenna

Go Effective Aperture of Lossless Antenna = Antenna Aperture Efficiency*Physical Area of an Antenna

Effective Noise Temperature

Go Effective Noise Temperature = (Overall Noise Figure-1)*Noise Temperature Network 1

Omnidirectional SIR Formula

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 SIR_omn 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 SIR_omn = 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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