Image Frequency Rejection Ratio of Superheterodyne Receiver Calculator

↳

Electronics

Chemical Engineering

Civil

Electrical

Electronics and Instrumentation

Materials Science

Mechanical

Production Engineering

⤿

Fundamentals of Analog Communications

Amplitude Modulation Characteristics

Analog Noise and Power Analysis

DSBSC Modulation

Frequency Modulation

Sideband and Frequency Modulation

✖Quality Factor is a dimensionless parameter that measures the receiver's ability to discriminate between signals at different frequencies.ⓘ Quality Factor [Q]			+10% -10%
✖Coupling Factor is a measure of the amount of energy that is transferred from one circuit to another.ⓘ Coupling Factor [cf]			+10% -10%

✖Image Frequency Rejection Ratio is the ratio of the desired signal power to the image signal power at the output of the mixer.ⓘ Image Frequency Rejection Ratio of Superheterodyne Receiver [IMRR]

⎘ Copy

👎

Formula

✖

Image Frequency Rejection Ratio of Superheterodyne Receiver

Formula

`"IMRR" = sqrt(1+("Q")^2*("cf")^2)`

Example

`"1.21189"=sqrt(1+("0.21")^2*("3.26")^2)`

Calculator

LaTeX

Reset

👍

Download Fundamentals of Analog Communications Formulas PDF PDF Image

Image Frequency Rejection Ratio of Superheterodyne Receiver Solution

STEP 0: Pre-Calculation Summary

Formula Used

Image Frequency Rejection Ratio = sqrt(1+(Quality Factor)^2*(Coupling Factor)^2)
IMRR = sqrt(1+(Q)^2*(cf)^2)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Image Frequency Rejection Ratio - Image Frequency Rejection Ratio is the ratio of the desired signal power to the image signal power at the output of the mixer.
Quality Factor - Quality Factor is a dimensionless parameter that measures the receiver's ability to discriminate between signals at different frequencies.
Coupling Factor - Coupling Factor is a measure of the amount of energy that is transferred from one circuit to another.

STEP 1: Convert Input(s) to Base Unit

Quality Factor: 0.21 --> No Conversion Required
Coupling Factor: 3.26 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

IMRR = sqrt(1+(Q)^2*(cf)^2) --> sqrt(1+(0.21)^2*(3.26)^2)

Evaluating ... ...

IMRR = 1.21188991249205

STEP 3: Convert Result to Output's Unit

1.21188991249205 --> No Conversion Required

FINAL ANSWER

1.21188991249205 ≈ 1.21189 <-- Image Frequency Rejection Ratio

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Analog Communications » Fundamentals of Analog Communications » Image Frequency Rejection Ratio of Superheterodyne Receiver

Credits

Created by Suma Madhuri

VIT University (VIT), Chennai

Suma Madhuri has created this Calculator and 50+ more calculators!

Verified by Simran Shravan Nishad

Sinhgad College Of Engineering (SCOE), Pune

Simran Shravan Nishad has verified this Calculator and 2 more calculators!

< 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 Frequency Rejection Ratio of Superheterodyne Receiver Formula

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

How can the IMRR of a superheterodyne receiver be improved?

There are a number of ways to improve the image frequency rejection ratio (IMRR) of a superheterodyne receiver, including:

Use a high-quality image reject filter at the input of the receiver. An image reject filter is a bandpass filter that is designed to pass the desired signal and reject the image signal. A higher quality filter will have a narrower bandwidth and better selectivity, which will result in a higher IMRR.
Use a stable and accurate local oscillator frequency generator. The LO frequency is used to mix the incoming signal to the intermediate frequency. If the LO frequency is not stable, the image frequency will also drift, which can make it more difficult to filter out. A stable and accurate LO frequency generator will help to improve the IMRR.

How to Calculate Image Frequency Rejection Ratio of Superheterodyne Receiver?

Image Frequency Rejection Ratio of Superheterodyne Receiver calculator uses Image Frequency Rejection Ratio = sqrt(1+(Quality Factor)^2*(Coupling Factor)^2) to calculate the Image Frequency Rejection Ratio, The Image Frequency Rejection Ratio of Superheterodyne Receiver can be improved by increasing the coupling factor between the RF and IF stages and/or by increasing the quality factor of the IF amplifier. Image Frequency Rejection Ratio is denoted by IMRR symbol.

How to calculate Image Frequency Rejection Ratio of Superheterodyne Receiver using this online calculator? To use this online calculator for Image Frequency Rejection Ratio of Superheterodyne Receiver, enter Quality Factor (Q) & Coupling Factor (cf) and hit the calculate button. Here is how the Image Frequency Rejection Ratio of Superheterodyne Receiver calculation can be explained with given input values -> 1.21189 = sqrt(1+(0.21)^2*(3.26)^2).

FAQ

What is Image Frequency Rejection Ratio of Superheterodyne Receiver?

The Image Frequency Rejection Ratio of Superheterodyne Receiver can be improved by increasing the coupling factor between the RF and IF stages and/or by increasing the quality factor of the IF amplifier and is represented as IMRR = sqrt(1+(Q)^2*(cf)^2) or Image Frequency Rejection Ratio = sqrt(1+(Quality Factor)^2*(Coupling Factor)^2). Quality Factor is a dimensionless parameter that measures the receiver's ability to discriminate between signals at different frequencies & Coupling Factor is a measure of the amount of energy that is transferred from one circuit to another.

How to calculate Image Frequency Rejection Ratio of Superheterodyne Receiver?

The Image Frequency Rejection Ratio of Superheterodyne Receiver can be improved by increasing the coupling factor between the RF and IF stages and/or by increasing the quality factor of the IF amplifier is calculated using Image Frequency Rejection Ratio = sqrt(1+(Quality Factor)^2*(Coupling Factor)^2). To calculate Image Frequency Rejection Ratio of Superheterodyne Receiver, you need Quality Factor (Q) & Coupling Factor (cf). With our tool, you need to enter the respective value for Quality Factor & Coupling Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search