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Image Rejection Ratio Formula

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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. Check FAQs

ρ = (\frac{f img}{F RF}) - (\frac{F RF}{f img})

ρ - Image Rejection Ratio?f_img - Image Frequency?F_RF - Received Signal Frequency?

Image Rejection Ratio Example

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

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

Here is how the Image Rejection Ratio equation looks like.

3.2634 = (\frac{195}{55}) - (\frac{55}{195})

3.2634dB = (\frac{195Hz}{55Hz}) - (\frac{55Hz}{195Hz})

3.2634 = (\frac{195}{55}) - (\frac{55}{195})

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Image Rejection Ratio Solution

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

FIRST Step Consider the formula

ρ = (\frac{f img}{F RF}) - (\frac{F RF}{f img})

Next Step Substitute values of Variables

∴

ρ = (\frac{195Hz}{55Hz}) - (\frac{55Hz}{195Hz})

Next Step Prepare to Evaluate

∴

ρ = (\frac{195}{55}) - (\frac{55}{195})

Next Step Evaluate

∴

ρ = 3.26340326340326dB

LAST Step Rounding Answer

∴

ρ = 3.2634dB

Image Rejection Ratio Formula Elements

Variables

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

Image Frequency

Image Frequency is defined as the sum of received signal and twice the intermediate frequency.

Symbol: f_img

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Image Frequency

Received Signal Frequency

Received Signal Frequency is that frequency which is obtained at the receiver end of a Radio Channel.

Symbol: F_RF

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Received Signal Frequency

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 Image Rejection Ratio?

Image Rejection Ratio evaluator uses Image Rejection Ratio = (Image Frequency/Received Signal Frequency)-(Received Signal Frequency/Image Frequency) to evaluate the Image Rejection Ratio, Image Rejection Ratio is a measure of a receiver's ability to reject signals at its image frequency. Image Rejection Ratio is denoted by ρ symbol.

How to evaluate Image Rejection Ratio using this online evaluator? To use this online evaluator for Image Rejection Ratio, enter Image Frequency (f_img) & Received Signal Frequency (F_RF) and hit the calculate button.

FAQs on Image Rejection Ratio

What is the formula to find Image Rejection Ratio?

The formula of Image Rejection Ratio is expressed as Image Rejection Ratio = (Image Frequency/Received Signal Frequency)-(Received Signal Frequency/Image Frequency). Here is an example- 3.263403 = (195/55)-(55/195).

How to calculate Image Rejection Ratio?

With Image Frequency (f_img) & Received Signal Frequency (F_RF) we can find Image Rejection Ratio using the formula - Image Rejection Ratio = (Image Frequency/Received Signal Frequency)-(Received Signal Frequency/Image Frequency).

Can the Image Rejection Ratio be negative?

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

Which unit is used to measure Image Rejection Ratio?

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

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Image Rejection Ratio Formula

Image Rejection Ratio Example

Image Rejection Ratio Solution

Image Rejection Ratio Formula Elements

Other formulas in Fundamentals of Analog Communications category

How to Evaluate Image Rejection Ratio?

FAQs on Image Rejection Ratio

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