Modulating Signal Frequency 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%
✖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.ⓘ Amplitude of Modulating Signal [A_m]			+10% -10%

✖Modulating Signal Frequency is the number of occurrences of a repeating event per unit of time.ⓘ Modulating Signal Frequency of FM Receiver [F_m]

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Formula

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Modulating Signal Frequency of FM Receiver

Formula

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

Example

`"45.15746Hz"="912.0"/("3.3"*"6.12V")`

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Modulating Signal Frequency of FM Receiver Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Modulating Signal Frequency - (Measured in Hertz) - Modulating Signal Frequency is the number of occurrences of a repeating event per unit of time.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Phase Deviation: 912 --> No Conversion Required
Proportionality Constant: 3.3 --> No Conversion Required
Amplitude of Modulating Signal: 6.12 Volt --> 6.12 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_m = ΔP/(K_p*A_m) --> 912/(3.3*6.12)

Evaluating ... ...

F_m = 45.1574569221628

STEP 3: Convert Result to Output's Unit

45.1574569221628 Hertz --> No Conversion Required

FINAL ANSWER

45.1574569221628 ≈ 45.15746 Hertz <-- Modulating Signal Frequency

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Analog Communications » Sideband and Frequency Modulation » Modulating Signal Frequency of FM Receiver

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Created by Suma Madhuri

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 Frequency of FM Receiver Formula

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

What are some factors that can affect the modulating signal frequency of an FM receiver?

Several factors can affect the modulating signal frequency of an FM receiver:

Transmitter Characteristics: The frequency of the carrier wave generated by the FM transmitter is a key factor influencing the modulating signal frequency. Any variations in the carrier frequency will directly impact the modulating signal frequency.

Propagation Conditions: The propagation of radio waves through the atmosphere and other mediums can introduce frequency shifts due to phenomena like multipath propagation, Doppler effects, and atmospheric disturbances. These frequency shifts can affect the modulating signal frequency at the receiver.

How to Calculate Modulating Signal Frequency of FM Receiver?

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

How to calculate Modulating Signal Frequency of FM Receiver using this online calculator? To use this online calculator for Modulating Signal Frequency of FM Receiver, enter Phase Deviation (ΔP), Proportionality Constant (K_p) & Amplitude of Modulating Signal (A_m) and hit the calculate button. Here is how the Modulating Signal Frequency of FM Receiver calculation can be explained with given input values -> 45.15746 = 912/(3.3*6.12).

FAQ

What is Modulating Signal Frequency of FM Receiver?

The Modulating Signal Frequency of FM Receiver is defined as the frequency of the audio signal that is used to modulate the carrier wave and is represented as F_m = ΔP/(K_p*A_m) or Modulating Signal Frequency = Phase Deviation/(Proportionality Constant*Amplitude of Modulating Signal). 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 & 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.

How to calculate Modulating Signal Frequency of FM Receiver?

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