Rejection Ratio 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 of Tuned Circuit is a measure of its efficiency in storing energy in the magnetic field.ⓘ Quality Factor of Tuned Circuit [Q_tc]			+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]			+10% -10%

✖Rejection Ratio is the ratio of the gain at the signal frequency to the gain of the image frequency in a single-tuned circuit.ⓘ Rejection Ratio [α]

⎘ Copy

👎

Formula

✖

Rejection Ratio

Formula

`"α" = sqrt(1+("Q"_{"tc"}^2*"ρ"^2))`

Example

`"11.07553dB"=sqrt(1+(("3.38")^2*("3.2634dB")^2))`

Calculator

LaTeX

Reset

👍

Download Fundamentals of Analog Communications Formulas PDF

Rejection Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Rejection Ratio - (Measured in Decibel) - Rejection Ratio is the ratio of the gain at the signal frequency to the gain of the image frequency in a single-tuned circuit.
Quality Factor of Tuned Circuit - Quality Factor of Tuned Circuit is a measure of its efficiency in storing energy in the magnetic field.
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.

STEP 1: Convert Input(s) to Base Unit

Quality Factor of Tuned Circuit: 3.38 --> No Conversion Required
Image Rejection Ratio: 3.2634 Decibel --> 3.2634 Decibel No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = sqrt(1+(Q_tc^2*ρ^2)) --> sqrt(1+(3.38^2*3.2634^2))

Evaluating ... ...

α = 11.0755289537459

STEP 3: Convert Result to Output's Unit

11.0755289537459 Decibel --> No Conversion Required

FINAL ANSWER

11.0755289537459 ≈ 11.07553 Decibel <-- Rejection Ratio

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Analog Communications » Fundamentals of Analog Communications » Rejection Ratio

Credits

Created by Rachita C

BMS College Of Engineering (BMSCE), Banglore

Rachita C has created this Calculator and 25+ more calculators!

Verified by Saiju Shah

Jayawantrao Sawant College of Engineering (JSCOE), Pune

Saiju Shah has verified this Calculator and 25+ 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

Rejection Ratio Formula

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

What is the maximum transmission efficiency of an AM signal?

The transmission efficiency (η) of AM wave is defined as the percentage of total power contributed by side bands of the AM signal. The maximum transmission efficiency of an AM signal is 33.33%, i.e., only one third of the total transmitted power is carried by the side bands in an AM wave. The remaining two third of the total transmitted power gets wasted.

How to Calculate Rejection Ratio?

Rejection Ratio calculator uses Rejection Ratio = sqrt(1+(Quality Factor of Tuned Circuit^2*Image Rejection Ratio^2)) to calculate the Rejection Ratio, Rejection Ratio is the ratio of the gain at the signal frequency to the gain of the image frequency in a single-tuned circuit. Rejection Ratio is denoted by α symbol.

How to calculate Rejection Ratio using this online calculator? To use this online calculator for Rejection Ratio, enter Quality Factor of Tuned Circuit (Q_tc) & Image Rejection Ratio (ρ) and hit the calculate button. Here is how the Rejection Ratio calculation can be explained with given input values -> 1.469613 = sqrt(1+(3.38^2*3.2634^2)).

FAQ

What is Rejection Ratio?

Rejection Ratio is the ratio of the gain at the signal frequency to the gain of the image frequency in a single-tuned circuit and is represented as α = sqrt(1+(Q_tc^2*ρ^2)) or Rejection Ratio = sqrt(1+(Quality Factor of Tuned Circuit^2*Image Rejection Ratio^2)). Quality Factor of Tuned Circuit is a measure of its efficiency in storing energy in the magnetic field & 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.

How to calculate Rejection Ratio?

Rejection Ratio is the ratio of the gain at the signal frequency to the gain of the image frequency in a single-tuned circuit is calculated using Rejection Ratio = sqrt(1+(Quality Factor of Tuned Circuit^2*Image Rejection Ratio^2)). To calculate Rejection Ratio, you need Quality Factor of Tuned Circuit (Q_tc) & Image Rejection Ratio (ρ). With our tool, you need to enter the respective value for Quality Factor of Tuned Circuit & Image Rejection Ratio 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