Deviation Ratio Calculator

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Fundamentals of Analog Communications

Amplitude Modulation Characteristics

Analog Noise and Power Analysis

DSBSC Modulation

Frequency Modulation

Sideband and Frequency Modulation

✖Maximum Frequency Deviation the maximum difference between the minimum or maximum extent of a frequency modulated signal, and the nominal center or carrier frequency.ⓘ Maximum Frequency Deviation [Δf_m]			+10% -10%
✖Maximum Modulating Frequency and the maximum keying frequency are not necessarily equal.ⓘ Maximum Modulating Frequency [f_m]			+10% -10%

✖Deviation Ratio is the ratio of the maximum carrier frequency deviation to the highest audio modulating frequency.ⓘ Deviation Ratio [D]

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Formula

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Deviation Ratio

Formula

`"D" = "Δf"_{"m"}/"f"_{"m"}`

Example

`"0.05"="750Hz"/"15000Hz"`

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Deviation Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deviation Ratio = Maximum Frequency Deviation/Maximum Modulating Frequency
D = Δf_m/f_m
This formula uses 3 Variables

Variables Used

Deviation Ratio - Deviation Ratio is the ratio of the maximum carrier frequency deviation to the highest audio modulating frequency.
Maximum Frequency Deviation - (Measured in Hertz) - Maximum Frequency Deviation the maximum difference between the minimum or maximum extent of a frequency modulated signal, and the nominal center or carrier frequency.
Maximum Modulating Frequency - (Measured in Hertz) - Maximum Modulating Frequency and the maximum keying frequency are not necessarily equal.

STEP 1: Convert Input(s) to Base Unit

Maximum Frequency Deviation: 750 Hertz --> 750 Hertz No Conversion Required
Maximum Modulating Frequency: 15000 Hertz --> 15000 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = Δf_m/f_m --> 750/15000

Evaluating ... ...

D = 0.05

STEP 3: Convert Result to Output's Unit

0.05 --> No Conversion Required

FINAL ANSWER

0.05 <-- Deviation Ratio

(Calculation completed in 00.004 seconds)

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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

Deviation Ratio Formula

Deviation Ratio = Maximum Frequency Deviation/Maximum Modulating Frequency
D = Δf_m/f_m

What determines the amount of deviation of an FM signal?

The amplitude of the modulating signal is converted to frequency variations of the FM ( Frequency Modulation ) signal. These variations are referred to as carrier deviation or deviation.

How to Calculate Deviation Ratio?

Deviation Ratio calculator uses Deviation Ratio = Maximum Frequency Deviation/Maximum Modulating Frequency to calculate the Deviation Ratio, Deviation Ratio is the ratio of the maximum carrier frequency deviation to the highest audio modulating frequency. Deviation Ratio is denoted by D symbol.

How to calculate Deviation Ratio using this online calculator? To use this online calculator for Deviation Ratio, enter Maximum Frequency Deviation (Δf_m) & Maximum Modulating Frequency (f_m) and hit the calculate button. Here is how the Deviation Ratio calculation can be explained with given input values -> 0.05 = 750/15000.

FAQ

What is Deviation Ratio?

Deviation Ratio is the ratio of the maximum carrier frequency deviation to the highest audio modulating frequency and is represented as D = Δf_m/f_m or Deviation Ratio = Maximum Frequency Deviation/Maximum Modulating Frequency. Maximum Frequency Deviation the maximum difference between the minimum or maximum extent of a frequency modulated signal, and the nominal center or carrier frequency & Maximum Modulating Frequency and the maximum keying frequency are not necessarily equal.

How to calculate Deviation Ratio?

Deviation Ratio is the ratio of the maximum carrier frequency deviation to the highest audio modulating frequency is calculated using Deviation Ratio = Maximum Frequency Deviation/Maximum Modulating Frequency. To calculate Deviation Ratio, you need Maximum Frequency Deviation (Δf_m) & Maximum Modulating Frequency (f_m). With our tool, you need to enter the respective value for Maximum Frequency Deviation & Maximum Modulating 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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