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Omnidirectional SIR Formula

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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. Check FAQs

SIR omn = \frac{1}{2 \cdot {(q - 1)}^{- γ} + 2 \cdot {(q)}^{- γ} + 2 \cdot {(q + 1)}^{- γ}}

SIR_omn - Omnidirectional SIR?q - Frequency Reuse Ratio?γ - Propagation Path Loss Exponent?

Omnidirectional SIR Example

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Here is how the Omnidirectional SIR equation looks like with Values.

Here is how the Omnidirectional SIR equation looks like with Units.

Here is how the Omnidirectional SIR equation looks like.

0.2394 = \frac{1}{2 \cdot {(1.78 - 1)}^{- 2} + 2 \cdot {(1.78)}^{- 2} + 2 \cdot {(1.78 + 1)}^{- 2}}

0.2394 = \frac{1}{2 \cdot {(1.78 - 1)}^{- 2} + 2 \cdot {(1.78)}^{- 2} + 2 \cdot {(1.78 + 1)}^{- 2}}

0.2394 = \frac{1}{2 \cdot {(1.78 - 1)}^{- 2} + 2 \cdot {(1.78)}^{- 2} + 2 \cdot {(1.78 + 1)}^{- 2}}

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Omnidirectional SIR Solution

Follow our step by step solution on how to calculate Omnidirectional SIR?

FIRST Step Consider the formula

SIR omn = \frac{1}{2 \cdot {(q - 1)}^{- γ} + 2 \cdot {(q)}^{- γ} + 2 \cdot {(q + 1)}^{- γ}}

Next Step Substitute values of Variables

∴

SIR omn = \frac{1}{2 \cdot {(1.78 - 1)}^{- 2} + 2 \cdot {(1.78)}^{- 2} + 2 \cdot {(1.78 + 1)}^{- 2}}

Next Step Prepare to Evaluate

∴

SIR omn = \frac{1}{2 \cdot {(1.78 - 1)}^{- 2} + 2 \cdot {(1.78)}^{- 2} + 2 \cdot {(1.78 + 1)}^{- 2}}

Next Step Evaluate

∴

SIR omn = 0.239387349159519

LAST Step Rounding Answer

∴

SIR omn = 0.2394

Omnidirectional SIR Formula Elements

Variables

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.

Symbol: SIR_omn

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Omnidirectional SIR

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.

Symbol: q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Frequency Reuse Ratio

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.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Propagation Path Loss Exponent

Other formulas in Radar Antennas Reception category

Go Directive Gain

G d = \frac{4 \cdot π}{θ b \cdot φ b}

Go Spacing between Centers of Metallic Sphere

s = \frac{λ m}{2 \cdot \sqrt{1 - {η m}^{2}}}

Go Effective Aperture of Lossless Antenna

A e = η a \cdot A

Go Dielectric Constant of Artificial Dielectric

e = 1 + \frac{4 \cdot π \cdot a^{3}}{s^{3}}

How to Evaluate Omnidirectional SIR?

Omnidirectional SIR evaluator 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 evaluate 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 evaluate Omnidirectional SIR using this online evaluator? To use this online evaluator for Omnidirectional SIR, enter Frequency Reuse Ratio (q) & Propagation Path Loss Exponent (γ) and hit the calculate button.

FAQs on Omnidirectional SIR

What is the formula to find Omnidirectional SIR?

The formula of Omnidirectional SIR is expressed as 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)). Here is an example- 0.239387 = 1/(2*(1.78-1)^(-2)+2*(1.78)^(-2)+2*(1.78+1)^(-2)).

How to calculate Omnidirectional SIR?

With Frequency Reuse Ratio (q) & Propagation Path Loss Exponent (γ) we can find Omnidirectional SIR using the 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)).

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Omnidirectional SIR Formula

Omnidirectional SIR Example

Omnidirectional SIR Solution

Omnidirectional SIR Formula Elements

Other formulas in Radar Antennas Reception category

How to Evaluate Omnidirectional SIR?

FAQs on Omnidirectional SIR

Variable Name