Frequency Sensitivity Calculator

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Frequency Modulation

Amplitude Modulation Characteristics

Analog Noise and Power Analysis

DSBSC Modulation

Fundamentals of Analog Communications

Sideband and Frequency Modulation

✖Frequency Deviation in FM is defined as the way to describe the difference between the minimum and maximum extent of a frequency modulated signal and the carrier frequency.ⓘ Frequency Deviation [Δf]			+10% -10%
✖Peak Amplitude of Message is the maximum positive or negative deviation of a waveform from its zero reference level in a message signal.ⓘ Peak Amplitude of Message [A_m(peak)]			+10% -10%

✖Frequency Sensitivity is the dependence of the critical amplitude of the signal upon its frequency and a resonance between the intrinsic oscillations of a neuron and the signal.ⓘ Frequency Sensitivity [K_f]

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Formula

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Frequency Sensitivity

Formula

`"K"_{"f"} = "Δf"/"A"_{"m(peak)"}`

Example

`"0.75Hz"="30Hz"/"40V"`

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Frequency Sensitivity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency Sensitivity = Frequency Deviation/Peak Amplitude of Message
K_f = Δf/A_m(peak)
This formula uses 3 Variables

Variables Used

Frequency Sensitivity - (Measured in Hertz) - Frequency Sensitivity is the dependence of the critical amplitude of the signal upon its frequency and a resonance between the intrinsic oscillations of a neuron and the signal.
Frequency Deviation - (Measured in Hertz) - Frequency Deviation in FM is defined as the way to describe the difference between the minimum and maximum extent of a frequency modulated signal and the carrier frequency.
Peak Amplitude of Message - (Measured in Volt) - Peak Amplitude of Message is the maximum positive or negative deviation of a waveform from its zero reference level in a message signal.

STEP 1: Convert Input(s) to Base Unit

Frequency Deviation: 30 Hertz --> 30 Hertz No Conversion Required
Peak Amplitude of Message: 40 Volt --> 40 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_f = Δf/A_m(peak) --> 30/40

Evaluating ... ...

K_f = 0.75

STEP 3: Convert Result to Output's Unit

0.75 Hertz --> No Conversion Required

FINAL ANSWER

0.75 Hertz <-- Frequency Sensitivity

(Calculation completed in 00.004 seconds)

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Created by Rachita C

BMS College Of Engineering (BMSCE), Banglore

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BMS College of Engineering (BMSCE), Bangalore

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< 12 Frequency Modulation Calculators

Overall Received Signal in Mobile Communication

Go Overall Received Signal = (sum(x,1,Index Variable,Complex Valued Envelope*cos(Angle of Arrival)))*cos(Carrier Angular Frequency*Time Period of Signal)-(sum(x,1,Index Variable,Complex Valued Envelope*sin(Angle of Arrival)))*sin(Carrier Angular Frequency*Time Period of Signal)

Error Vector Magnitude using RMS Voltage

Go Error Vector Magnitude Using Rms Voltage = (1/Rms Voltage of the Signal)*sqrt((1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2))

Error Vector Magnitude using Average Power

Go Error Vector Magnitude Using Average Power = (1/Average Signal Power)*(1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2)

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

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

Modulating Frequency

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

Carrier Swing

Go Carrier Swing = 2*Frequency Deviation

< 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

Frequency Sensitivity Formula

Frequency Sensitivity = Frequency Deviation/Peak Amplitude of Message
K_f = Δf/A_m(peak)

How is FM deviation calculated?

Averaged over all rates, the results show a small decrease in sensitivity with increasing center frequency. For all center frequencies, sensitivity decreases with increasing pulse rate, yielding a rate limit of approximately 500 pps.

How to Calculate Frequency Sensitivity?

Frequency Sensitivity calculator uses Frequency Sensitivity = Frequency Deviation/Peak Amplitude of Message to calculate the Frequency Sensitivity, Frequency Sensitivity is the ability of a system to detect or respond to changes in frequency. Frequency Sensitivity is denoted by K_f symbol.

How to calculate Frequency Sensitivity using this online calculator? To use this online calculator for Frequency Sensitivity, enter Frequency Deviation (Δf) & Peak Amplitude of Message (A_m(peak)) and hit the calculate button. Here is how the Frequency Sensitivity calculation can be explained with given input values -> 0.214286 = 30/40.

FAQ

What is Frequency Sensitivity?

Frequency Sensitivity is the ability of a system to detect or respond to changes in frequency and is represented as K_f = Δf/A_m(peak) or Frequency Sensitivity = Frequency Deviation/Peak Amplitude of Message. Frequency Deviation in FM is defined as the way to describe the difference between the minimum and maximum extent of a frequency modulated signal and the carrier frequency & Peak Amplitude of Message is the maximum positive or negative deviation of a waveform from its zero reference level in a message signal.

How to calculate Frequency Sensitivity?

Frequency Sensitivity is the ability of a system to detect or respond to changes in frequency is calculated using Frequency Sensitivity = Frequency Deviation/Peak Amplitude of Message. To calculate Frequency Sensitivity, you need Frequency Deviation (Δf) & Peak Amplitude of Message (A_m(peak)). With our tool, you need to enter the respective value for Frequency Deviation & Peak Amplitude of Message 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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