Frequency Reuse Ratio Calculator

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Radar Antennas Reception

Radar & Antenna Specifications

Special Purpose Radars

✖Signal to Co-channel Interference Ratio is a metric used in communication systems to quantify the quality of a received signal in the presence of interference, particularly from co-channel signals.ⓘ Signal to Co-channel Interference Ratio [SIR]			+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%

✖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]

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Formula

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Frequency Reuse Ratio

Formula

`"q" = (6*"SIR")^(1/"γ")`

Example

`"1.779888"=(6*"0.528")^(1/"2")`

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Frequency Reuse Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency Reuse Ratio = (6*Signal to Co-channel Interference Ratio)^(1/Propagation Path Loss Exponent)
q = (6*SIR)^(1/γ)
This formula uses 3 Variables

Variables Used

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.
Signal to Co-channel Interference Ratio - Signal to Co-channel Interference Ratio is a metric used in communication systems to quantify the quality of a received signal in the presence of interference, particularly from co-channel signals.
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

Signal to Co-channel Interference Ratio: 0.528 --> No Conversion Required
Propagation Path Loss Exponent: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = (6*SIR)^(1/γ) --> (6*0.528)^(1/2)

Evaluating ... ...

q = 1.77988763690296

STEP 3: Convert Result to Output's Unit

1.77988763690296 --> No Conversion Required

FINAL ANSWER

1.77988763690296 ≈ 1.779888 <-- Frequency Reuse Ratio

(Calculation completed in 00.005 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

Frequency Reuse Ratio Formula

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

How is Frequency Reuse Pattern selected?

The choice of an appropriate frequency reuse pattern depends on various factors such as the geographic size of cells, the density of users, and the characteristics of the radio environment. Designing an efficient frequency reuse plan is crucial for optimizing the performance of a cellular network in terms of both coverage and capacity.

How to Calculate Frequency Reuse Ratio?

Frequency Reuse Ratio calculator uses Frequency Reuse Ratio = (6*Signal to Co-channel Interference Ratio)^(1/Propagation Path Loss Exponent) to calculate the Frequency Reuse Ratio, Frequency Reuse Ratio refers to the reuse of the same set of radio frequencies in different cells within a network. The purpose of frequency reuse is to efficiently utilize the available radio spectrum and increase the capacity of the network. Frequency Reuse Ratio is denoted by q symbol.

How to calculate Frequency Reuse Ratio using this online calculator? To use this online calculator for Frequency Reuse Ratio, enter Signal to Co-channel Interference Ratio (SIR) & Propagation Path Loss Exponent (γ) and hit the calculate button. Here is how the Frequency Reuse Ratio calculation can be explained with given input values -> 1.779888 = (6*0.528)^(1/2).

FAQ

What is Frequency Reuse Ratio?

Frequency Reuse Ratio refers to the reuse of the same set of radio frequencies in different cells within a network. The purpose of frequency reuse is to efficiently utilize the available radio spectrum and increase the capacity of the network and is represented as q = (6*SIR)^(1/γ) or Frequency Reuse Ratio = (6*Signal to Co-channel Interference Ratio)^(1/Propagation Path Loss Exponent). Signal to Co-channel Interference Ratio is a metric used in communication systems to quantify the quality of a received signal in the presence of interference, particularly from co-channel signals & 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 Frequency Reuse Ratio?

Frequency Reuse Ratio refers to the reuse of the same set of radio frequencies in different cells within a network. The purpose of frequency reuse is to efficiently utilize the available radio spectrum and increase the capacity of the network is calculated using Frequency Reuse Ratio = (6*Signal to Co-channel Interference Ratio)^(1/Propagation Path Loss Exponent). To calculate Frequency Reuse Ratio, you need Signal to Co-channel Interference Ratio (SIR) & Propagation Path Loss Exponent (γ). With our tool, you need to enter the respective value for Signal to Co-channel Interference 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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