Image Frequency Rejection Ratio of Superheterodyne Receiver Calculator

✖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]

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Formula

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Image Frequency Rejection Ratio of Superheterodyne Receiver

Formula

IMRR = \sqrt{1 + {(Q)}^{2} \cdot {(cf)}^{2}}

Example

1.21189 = \sqrt{1 + {(0.21)}^{2} \cdot {(3.26)}^{2}}

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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)

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< Fundamentals of Analog Communications Calculators

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)

Image Frequency

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

Crest Factor

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

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.

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