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Polarization Mismatch Loss Formula

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Polarization mismatch loss is the reduction in signal strength or degradation of signal quality that occurs when there is a mismatch between the polarizations of a transmission line and an antenna. Check FAQs

M L = - 20 \cdot \log 10 (\cos (θ))

M_L - Polarization Mismatch Loss?θ - Theta?

Polarization Mismatch Loss Example

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Here is how the Polarization Mismatch Loss equation looks like with Values.

Here is how the Polarization Mismatch Loss equation looks like with Units.

Here is how the Polarization Mismatch Loss equation looks like.

1.2494 = - 20 \cdot \log 10 (\cos (30))

1.2494dB = - 20 \cdot \log 10 (\cos (30°))

1.2494 = - 20 \cdot \log 10 (\cos (30))

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Polarization Mismatch Loss Solution

Follow our step by step solution on how to calculate Polarization Mismatch Loss?

FIRST Step Consider the formula

M L = - 20 \cdot \log 10 (\cos (θ))

Next Step Substitute values of Variables

∴

M L = - 20 \cdot \log 10 (\cos (30°))

Next Step Convert Units

∴

M L = - 20 \cdot \log 10 (\cos (0.5236rad))

Next Step Prepare to Evaluate

∴

M L = - 20 \cdot \log 10 (\cos (0.5236))

Next Step Evaluate

∴

M L = 1.249387366083dB

LAST Step Rounding Answer

∴

M L = 1.2494dB

Polarization Mismatch Loss Formula Elements

Variables

Functions

Polarization Mismatch Loss

Polarization mismatch loss is the reduction in signal strength or degradation of signal quality that occurs when there is a mismatch between the polarizations of a transmission line and an antenna.

Symbol: M_L

Measurement: NoiseUnit: dB

Note: Value can be positive or negative.

Formulas to find Polarization Mismatch Loss

Theta

Theta is the difference in the polarization angle between the two antennas. θ can represent the angle between two vectors or the angular position of an object.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

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How to Evaluate Polarization Mismatch Loss?

Polarization Mismatch Loss evaluator uses Polarization Mismatch Loss = -20*log10(cos(Theta)) to evaluate the Polarization Mismatch Loss, The Polarization Mismatch Loss formula is defined as the loss that occurs when the transmit and receive antennas are both linearly polarized, and physical antenna is misaligned. It is measured in dB. Polarization Mismatch Loss is denoted by M_L symbol.

How to evaluate Polarization Mismatch Loss using this online evaluator? To use this online evaluator for Polarization Mismatch Loss, enter Theta (θ) and hit the calculate button.

FAQs on Polarization Mismatch Loss

What is the formula to find Polarization Mismatch Loss?

The formula of Polarization Mismatch Loss is expressed as Polarization Mismatch Loss = -20*log10(cos(Theta)). Here is an example- 1.249387 = -20*log10(cos(0.5235987755982)).

How to calculate Polarization Mismatch Loss?

With Theta (θ) we can find Polarization Mismatch Loss using the formula - Polarization Mismatch Loss = -20*log10(cos(Theta)). This formula also uses Cosine (cos), Common Logarithm (log10) function(s).

Can the Polarization Mismatch Loss be negative?

Yes, the Polarization Mismatch Loss, measured in Noise can be negative.

Which unit is used to measure Polarization Mismatch Loss?

Polarization Mismatch Loss is usually measured using the Decibel[dB] for Noise. Neper[dB], MilliDecibel[dB] are the few other units in which Polarization Mismatch Loss can be measured.

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