Modulating Signal Amplitude of FM Receiver Calculator

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Sideband and Frequency Modulation

Amplitude Modulation Characteristics

Analog Noise and Power Analysis

DSBSC Modulation

Frequency Modulation

Fundamentals of Analog Communications

✖Phase Deviation is the peak difference between the instantaneous phase angle of the modulated wave and that of the unmodulated carrier wave.ⓘ Phase Deviation [ΔP]			+10% -10%
✖Proportionality Constant is a constant value that shows the relationship between two proportional quantities.ⓘ Proportionality Constant [K_p]			+10% -10%
✖Modulating Signal Frequency is the number of occurrences of a repeating event per unit of time.ⓘ Modulating Signal Frequency [F_m]			+10% -10%

✖Amplitude of Modulating Signal is the maximum displacement of the signal from its equilibrium or rest position, measured in units of the original signal amplitude.ⓘ Modulating Signal Amplitude of FM Receiver [A_m]

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Formula

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Modulating Signal Amplitude of FM Receiver

Formula

`"A"_{"m"} = "ΔP"/("K"_{"p"}*"F"_{"m"})`

Example

`"6.120062V"="912.0"/("3.3"*"45.157Hz")`

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Modulating Signal Amplitude of FM Receiver Solution

STEP 0: Pre-Calculation Summary

Formula Used

Amplitude of Modulating Signal = Phase Deviation/(Proportionality Constant*Modulating Signal Frequency)
A_m = ΔP/(K_p*F_m)
This formula uses 4 Variables

Variables Used

Amplitude of Modulating Signal - (Measured in Volt) - Amplitude of Modulating Signal is the maximum displacement of the signal from its equilibrium or rest position, measured in units of the original signal amplitude.
Phase Deviation - Phase Deviation is the peak difference between the instantaneous phase angle of the modulated wave and that of the unmodulated carrier wave.
Proportionality Constant - Proportionality Constant is a constant value that shows the relationship between two proportional quantities.
Modulating Signal Frequency - (Measured in Hertz) - Modulating Signal Frequency is the number of occurrences of a repeating event per unit of time.

STEP 1: Convert Input(s) to Base Unit

Phase Deviation: 912 --> No Conversion Required
Proportionality Constant: 3.3 --> No Conversion Required
Modulating Signal Frequency: 45.157 Hertz --> 45.157 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_m = ΔP/(K_p*F_m) --> 912/(3.3*45.157)

Evaluating ... ...

A_m = 6.12006192536343

STEP 3: Convert Result to Output's Unit

6.12006192536343 Volt --> No Conversion Required

FINAL ANSWER

6.12006192536343 ≈ 6.120062 Volt <-- Amplitude of Modulating Signal

(Calculation completed in 00.004 seconds)

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VIT University (VIT), Chennai

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Vellore Institute of Technology (VIT Vellore), Vellore

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< 21 Sideband and Frequency Modulation Calculators

Pre Detection Signal to Noise Ratio

Go Pre Detection SNR of DSB-SC = (Amplitude of Carrier Signal DSB-SC^2*Total Power DSB-SC)/(2*Noise Density DSB-SC*Transmission Bandwidth DSBSC)

Modulating Signal Frequency of FM Receiver

Go Modulating Signal Frequency = Phase Deviation/(Proportionality Constant*Amplitude of Modulating Signal)

Modulating Signal Amplitude of FM Receiver

Go Amplitude of Modulating Signal = Phase Deviation/(Proportionality Constant*Modulating Signal Frequency)

Upper Sideband Power

Go Upper Sideband Power = (Amplitude of Carrier Signal^2*Modulation Index^2)/(8*Resistance)

Lower Sideband Power

Go Lower Sideband Power = Amplitude of Carrier Signal^2*Modulation Index^2/(8*Resistance)

Transmitted Power of DSB-SC

Go Transmitted Power of DSB-SC = Upper Sideband Power in DSB-SC+Lower Sideband Power DSB-SC

Bandwidth with respect to Modulation Index of FM

Go Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM))

Bandwidth of FM by Carson Rule with Beta

Go Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency

Upper Sideband Frequency

Go Upper Sideband Frequency = (Carrier Frequency+Message Maximum Frequency)

Lower Sideband Frequency

Go Lower Sideband Frequency = (Carrier Frequency-Message Maximum Frequency)

Frequency Sensitivity

Go Frequency Sensitivity = Frequency Deviation/Peak Amplitude of Message

Frequency Deviation

Go Frequency Deviation = Frequency Sensitivity*Peak Amplitude of Message

Bandwidth of FM wave by Carson Rule

Go Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency)

Frequency Deviation provided Modulation Index

Go Frequency Deviation = Modulation Index in FM*Modulating Frequency

Modulation Index of FM Wave

Go Modulation Index in FM = Frequency Deviation/Modulating Frequency

Bandwidth of VSB

Go Bandwidth of VSB = Maximum Frequency DSB-SC+Vestige Frequency

Upper Sideband Power with respect to Carrier Power

Go Upper Sideband Power = Carrier Power*(Modulation Index^2)/4

Lower Sideband Power with respect to Carrier Power

Go Lower Sideband Power = Carrier Power*(Modulation Index^2)/4

Modulating Frequency

Go Modulating Frequency = Angular Frequency/(2*pi)

Bandwidth in DSB-SC

Go Bandwidth in DSB-SC = 2*Maximum Frequency DSB-SC

Carrier Swing

Go Carrier Swing = 2*Frequency Deviation

Modulating Signal Amplitude of FM Receiver Formula

Amplitude of Modulating Signal = Phase Deviation/(Proportionality Constant*Modulating Signal Frequency)
A_m = ΔP/(K_p*F_m)

What is the effect of the modulating signal amplitude on the FM Receiver?

The modulating signal amplitude has a significant impact on the performance of an FM receiver. It influences various aspects of the receiver's operation, including:

Frequency Deviation: The modulating signal amplitude directly determines the extent to which the carrier wave's frequency deviates from its center frequency. A higher amplitude results in a larger frequency deviation, while a lower amplitude leads to a smaller deviation.

Signal-to-Noise Ratio (SNR): The FM receiver's ability to distinguish between the desired signal and background noise is affected by the modulating signal amplitude. Higher amplitudes generally lead to a better SNR, making the audio clearer and less prone to interference.

How to Calculate Modulating Signal Amplitude of FM Receiver?

Modulating Signal Amplitude of FM Receiver calculator uses Amplitude of Modulating Signal = Phase Deviation/(Proportionality Constant*Modulating Signal Frequency) to calculate the Amplitude of Modulating Signal, The Modulating Signal Amplitude of FM Receiver is defined as the magnitude of the audio signal that is used to vary the frequency of the carrier wave. Amplitude of Modulating Signal is denoted by A_m symbol.

How to calculate Modulating Signal Amplitude of FM Receiver using this online calculator? To use this online calculator for Modulating Signal Amplitude of FM Receiver, enter Phase Deviation (ΔP), Proportionality Constant (K_p) & Modulating Signal Frequency (F_m) and hit the calculate button. Here is how the Modulating Signal Amplitude of FM Receiver calculation can be explained with given input values -> 6.121011 = 912/(3.3*45.157).

FAQ

What is Modulating Signal Amplitude of FM Receiver?

The Modulating Signal Amplitude of FM Receiver is defined as the magnitude of the audio signal that is used to vary the frequency of the carrier wave and is represented as A_m = ΔP/(K_p*F_m) or Amplitude of Modulating Signal = Phase Deviation/(Proportionality Constant*Modulating Signal Frequency). Phase Deviation is the peak difference between the instantaneous phase angle of the modulated wave and that of the unmodulated carrier wave, Proportionality Constant is a constant value that shows the relationship between two proportional quantities & Modulating Signal Frequency is the number of occurrences of a repeating event per unit of time.

How to calculate Modulating Signal Amplitude of FM Receiver?

The Modulating Signal Amplitude of FM Receiver is defined as the magnitude of the audio signal that is used to vary the frequency of the carrier wave is calculated using Amplitude of Modulating Signal = Phase Deviation/(Proportionality Constant*Modulating Signal Frequency). To calculate Modulating Signal Amplitude of FM Receiver, you need Phase Deviation (ΔP), Proportionality Constant (K_p) & Modulating Signal Frequency (F_m). With our tool, you need to enter the respective value for Phase Deviation, Proportionality Constant & Modulating Signal 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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