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 = (fimg/FRF)-(FRF/fimg)
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 = (fimg/FRF)-(FRF/fimg) --> (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 00.004 seconds)

Credits

Created by Rachita C
BMS College Of Engineering (BMSCE), Banglore
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BMS College of Engineering (BMSCE), Bangalore
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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 = (fimg/FRF)-(FRF/fimg)

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 (fimg) & Received Signal Frequency (FRF) 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 = (fimg/FRF)-(FRF/fimg) 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 (fimg) & Received Signal Frequency (FRF). 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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