Image Rejection Ratio Calculator

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Fundamentals of Analog Communications

Amplitude Modulation Characteristics

Analog Noise and Power Analysis

DSBSC Modulation

Frequency Modulation

Sideband and Frequency Modulation

✖Image Frequency is defined as the sum of received signal and twice the intermediate frequency.ⓘ Image Frequency [f_img]			+10% -10%
✖Received Signal Frequency is that frequency which is obtained at the receiver end of a Radio Channel.ⓘ Received Signal Frequency [F_RF]			+10% -10%

✖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.ⓘ Image Rejection Ratio [ρ]

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Formula

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Image Rejection Ratio

Formula

`"ρ" = ("f"_{"img"}/"F"_{"RF"})-("F"_{"RF"}/"f"_{"img"})`

Example

`"3.263403dB"=("195Hz"/"55Hz")-("55Hz"/"195Hz")`

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Image Rejection Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Image Rejection Ratio = (Image Frequency/Received Signal Frequency)-(Received Signal Frequency/Image Frequency)
ρ = (f_img/F_RF)-(F_RF/f_img)
This formula uses 3 Variables

Variables Used

Image Rejection Ratio - (Measured in Decibel) - 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.
Image Frequency - (Measured in Hertz) - Image Frequency is defined as the sum of received signal and twice the intermediate frequency.
Received Signal Frequency - (Measured in Hertz) - Received Signal Frequency is that frequency which is obtained at the receiver end of a Radio Channel.

STEP 1: Convert Input(s) to Base Unit

Image Frequency: 195 Hertz --> 195 Hertz No Conversion Required
Received Signal Frequency: 55 Hertz --> 55 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = (f_img/F_RF)-(F_RF/f_img) --> (195/55)-(55/195)

Evaluating ... ...

ρ = 3.26340326340326

STEP 3: Convert Result to Output's Unit

3.26340326340326 Decibel --> No Conversion Required

FINAL ANSWER

3.26340326340326 ≈ 3.263403 Decibel <-- Image Rejection Ratio

(Calculation completed in 00.007 seconds)

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BMS College Of Engineering (BMSCE), Banglore

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< 24 Fundamentals of Analog Communications Calculators

Modulation Index with respect to Maximum and Minimum Amplitude

Go Modulation Index = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/(Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)

Image Rejection Ratio

Go Image Rejection Ratio = (Image Frequency/Received Signal Frequency)-(Received Signal Frequency/Image Frequency)

Phase Constant of Distortion Less Line

Go Phase Constant of Distortion Less Line = Angular Velocity*sqrt(Inductance*Capacitance)

Quality Factor of Tuned Circuit

Go Quality Factor of Tuned Circuit = (2*pi*Resonant Frequency*Inductance)/Resistance

Modulation Index with respect to Power

Go Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1))

Cyclic Frequency of Superheterodyne Receiver

Go Cyclic Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))

Rejection Ratio

Go Rejection Ratio = sqrt(1+(Quality Factor of Tuned Circuit^2*Image Rejection Ratio^2))

Image Frequency Rejection Ratio of Superheterodyne Receiver

Go Image Frequency Rejection Ratio = sqrt(1+(Quality Factor)^2*(Coupling Factor)^2)

Phase Velocity of Distortion Less Line

Go Phase Velocity of Distortion Less Line = 1/sqrt(Inductance*Capacitance)

Amplitude of Carrier Signal

Go Amplitude of Carrier Signal = (Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)/2

Modulation Index with respect to Amplitude Sensitivity

Go Modulation Index = Amplitude Sensitivity of Modulator*Amplitude of Modulating Signal

Maximum Amplitude

Go Maximum Amplitude of AM Wave = Amplitude of Carrier Signal*(1+Modulation Index^2)

Minimum Amplitude

Go Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2)

Intermediate Frequency

Go Intermediate Frequency = (Local Oscillation Frequency-Received Signal Frequency)

Transmission Efficiency with respect to Modulation Index

Go Transmission Efficiency of AM Wave = Modulation Index^2/(2+Modulation Index^2)

Modulation Index

Go Modulation Index = Amplitude of Modulating Signal/Amplitude of Carrier Signal

Bandwidth of Tuned Circuit

Go Tuned Circuit Bandwidth = Resonant Frequency/Quality Factor of Tuned Circuit

Deviation Ratio

Go Deviation Ratio = Maximum Frequency Deviation/Maximum Modulating Frequency

Image Frequency

Go Image Frequency = Received Signal Frequency+(2*Intermediate Frequency)

Carrier Frequency

Go Carrier Frequency = Angular Frequency of Modulating Signal/(2*pi)

Carrier Power

Go Carrier Power = (Amplitude of Carrier Signal^2)/(2*Resistance)

Crest Factor

Go Crest Factor = Peak Value of Signal/RMS Value of Signal

Figure of Merit of Superheterodyne Receiver

Go Figure of Merit = 1/Noise Figure

Noise Figure of Superheterodyne Receiver

Go Noise Figure = 1/Figure of Merit

Image Rejection Ratio Formula

Image Rejection Ratio = (Image Frequency/Received Signal Frequency)-(Received Signal Frequency/Image Frequency)
ρ = (f_img/F_RF)-(F_RF/f_img)

How can an image rejection frequency be suppressed?

The image spectrum can be suppressed via filtering, but the filtering approach to image rejection involves an important design trade-off and prevents monolithic integration. Direct conversion eliminates the image problem, but it has various disadvantages.

How to Calculate Image Rejection Ratio?

Image Rejection Ratio calculator uses Image Rejection Ratio = (Image Frequency/Received Signal Frequency)-(Received Signal Frequency/Image Frequency) to calculate 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 calculate Image Rejection Ratio using this online calculator? To use this online calculator for Image Rejection Ratio, enter Image Frequency (f_img) & Received Signal Frequency (F_RF) and hit the calculate button. Here is how the Image Rejection Ratio calculation can be explained with given input values -> 3.263403 = (195/55)-(55/195).

FAQ

What is Image Rejection Ratio?

Image Rejection Ratio is a measure of a receiver's ability to reject signals at its image frequency and is represented as ρ = (f_img/F_RF)-(F_RF/f_img) or Image Rejection Ratio = (Image Frequency/Received Signal Frequency)-(Received Signal Frequency/Image Frequency). Image Frequency is defined as the sum of received signal and twice the intermediate frequency & Received Signal Frequency is that frequency which is obtained at the receiver end of a Radio Channel.

How to calculate Image Rejection Ratio?

Image Rejection Ratio is a measure of a receiver's ability to reject signals at its image frequency is calculated using Image Rejection Ratio = (Image Frequency/Received Signal Frequency)-(Received Signal Frequency/Image Frequency). To calculate Image Rejection Ratio, you need Image Frequency (f_img) & Received Signal Frequency (F_RF). With our tool, you need to enter the respective value for Image Frequency & Received Signal Frequency 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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