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Rejection Ratio Formula

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Rejection Ratio is the ratio of the gain at the signal frequency to the gain of the image frequency in a single-tuned circuit. Check FAQs

α = \sqrt{1 + ({Q tc}^{2} \cdot ρ^{2})}

α - Rejection Ratio?Q_tc - Quality Factor of Tuned Circuit?ρ - Image Rejection Ratio?

Rejection Ratio Example

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Here is how the Rejection Ratio equation looks like with Values.

Here is how the Rejection Ratio equation looks like with Units.

Here is how the Rejection Ratio equation looks like.

11.0755 = \sqrt{1 + ({3.38}^{2} \cdot {3.2634}^{2})}

11.0755dB = \sqrt{1 + ({3.38}^{2} \cdot {3.2634dB}^{2})}

11.0755 = \sqrt{1 + ({3.38}^{2} \cdot {3.2634}^{2})}

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Rejection Ratio Solution

Follow our step by step solution on how to calculate Rejection Ratio?

FIRST Step Consider the formula

α = \sqrt{1 + ({Q tc}^{2} \cdot ρ^{2})}

Next Step Substitute values of Variables

∴

α = \sqrt{1 + ({3.38}^{2} \cdot {3.2634dB}^{2})}

Next Step Prepare to Evaluate

∴

α = \sqrt{1 + ({3.38}^{2} \cdot {3.2634}^{2})}

Next Step Evaluate

∴

α = 11.0755289537459dB

LAST Step Rounding Answer

∴

α = 11.0755dB

Rejection Ratio Formula Elements

Variables

Functions

Rejection Ratio

Rejection Ratio is the ratio of the gain at the signal frequency to the gain of the image frequency in a single-tuned circuit.

Symbol: α

Measurement: NoiseUnit: dB

Note: Value should be greater than 0.

Formulas to find Rejection Ratio

Quality Factor of Tuned Circuit

Quality Factor of Tuned Circuit is a measure of its efficiency in storing energy in the magnetic field.

Symbol: Q_tc

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Quality Factor of Tuned Circuit

Image Rejection Ratio

Image Rejection Ratio is the ratio of the intermediate-frequency (IF) signal level produced by the desired input frequency to that produced by the image frequency.

Symbol: ρ

Measurement: NoiseUnit: dB

Note: Value should be greater than 0.

Formulas to find Image Rejection Ratio

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Fundamentals of Analog Communications category

Go Crest Factor

CF = \frac{X peak}{X rms}

Go Transmission Efficiency with respect to Modulation Index

η am = \frac{μ^{2}}{2 + μ^{2}}

Go Intermediate Frequency

f im = (f lo - F RF)

Go Image Frequency

f img = F RF + (2 \cdot f im)

How to Evaluate Rejection Ratio?

Rejection Ratio evaluator uses Rejection Ratio = sqrt(1+(Quality Factor of Tuned Circuit^2*Image Rejection Ratio^2)) to evaluate the Rejection Ratio, Rejection Ratio is the ratio of the gain at the signal frequency to the gain of the image frequency in a single-tuned circuit. Rejection Ratio is denoted by α symbol.

How to evaluate Rejection Ratio using this online evaluator? To use this online evaluator for Rejection Ratio, enter Quality Factor of Tuned Circuit (Q_tc) & Image Rejection Ratio (ρ) and hit the calculate button.

FAQs on Rejection Ratio

What is the formula to find Rejection Ratio?

The formula of Rejection Ratio is expressed as Rejection Ratio = sqrt(1+(Quality Factor of Tuned Circuit^2*Image Rejection Ratio^2)). Here is an example- 1.469613 = sqrt(1+(3.38^2*3.2634^2)).

How to calculate Rejection Ratio?

With Quality Factor of Tuned Circuit (Q_tc) & Image Rejection Ratio (ρ) we can find Rejection Ratio using the formula - Rejection Ratio = sqrt(1+(Quality Factor of Tuned Circuit^2*Image Rejection Ratio^2)). This formula also uses Square Root (sqrt) function(s).

Can the Rejection Ratio be negative?

No, the Rejection Ratio, measured in Noise cannot be negative.

Which unit is used to measure Rejection Ratio?

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

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Rejection Ratio Formula

Rejection Ratio Example

Rejection Ratio Solution

Rejection Ratio Formula Elements

Other formulas in Fundamentals of Analog Communications category

How to Evaluate Rejection Ratio?

FAQs on Rejection Ratio

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