Rejection Ratio Calculator

✖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]

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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)

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Created by Rachita C

BMS College Of Engineering (BMSCE), Banglore

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Jayawantrao Sawant College of Engineering (JSCOE), Pune

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< Fundamentals of Analog Communications Calculators

Intermediate Frequency

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

Transmission Efficiency with respect to Modulation Index

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

Image Frequency

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

Crest Factor

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

Rejection Ratio Formula

LaTeX Go

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.

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