Bandwidth of VSB Calculator

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DSBSC Modulation

Amplitude Modulation Characteristics

Analog Noise and Power Analysis

Frequency Modulation

Fundamentals of Analog Communications

Sideband and Frequency Modulation

✖Maximum Frequency DSB-SC is the highest frequency of a band-limited continuous-time signal.ⓘ Maximum Frequency DSB-SC [f_m-DSB]			+10% -10%
✖Vestige Frequency is or refers to the remaining or residual frequency of a sound or signal after the initial stimulus has been removed or stopped.ⓘ Vestige Frequency [f_v-DSB]			+10% -10%

✖Bandwidth of VSB is the difference between the highest and lowest frequencies of the modulated signal.ⓘ Bandwidth of VSB [BW_VSB]

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Formula

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Bandwidth of VSB

Formula

`"BW"_{"VSB"} = "f"_{"m-DSB"}+"f"_{"v-DSB"}`

Example

`"250Hz"="150Hz"+"100Hz"`

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Bandwidth of VSB Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bandwidth of VSB = Maximum Frequency DSB-SC+Vestige Frequency
BW_VSB = f_m-DSB+f_v-DSB
This formula uses 3 Variables

Variables Used

Bandwidth of VSB - (Measured in Hertz) - Bandwidth of VSB is the difference between the highest and lowest frequencies of the modulated signal.
Maximum Frequency DSB-SC - (Measured in Hertz) - Maximum Frequency DSB-SC is the highest frequency of a band-limited continuous-time signal.
Vestige Frequency - (Measured in Hertz) - Vestige Frequency is or refers to the remaining or residual frequency of a sound or signal after the initial stimulus has been removed or stopped.

STEP 1: Convert Input(s) to Base Unit

Maximum Frequency DSB-SC: 150 Hertz --> 150 Hertz No Conversion Required
Vestige Frequency: 100 Hertz --> 100 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

BW_VSB = f_m-DSB+f_v-DSB --> 150+100

Evaluating ... ...

BW_VSB = 250

STEP 3: Convert Result to Output's Unit

250 Hertz --> No Conversion Required

FINAL ANSWER

250 Hertz <-- Bandwidth of VSB

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< 6 DSBSC 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)

Transmitted Power of DSB-SC

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

Transmitted Power of DSB-SC with respect to Modulation Index

Go Transmitted Power of DSB-SC = Carrier Power DSB-SC*((Modulation Index in DSB-SC^2)/2)

Transmitted Power of SSB given Modulation Index

Go Transmitted Power of DSB-SC = Carrier Power DSB-SC*(Modulation Index in DSB-SC^2/4)

Bandwidth of VSB

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

Bandwidth in DSB-SC

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

< 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

Bandwidth of VSB Formula

Bandwidth of VSB = Maximum Frequency DSB-SC+Vestige Frequency
BW_VSB = f_m-DSB+f_v-DSB

What is VSB?

SSBSC modulated signal has only one sideband frequency. Theoretically, we can get one sideband frequency component completely by using an ideal band pass filter. However, practically we may not get the entire sideband frequency component. Due to this, some information gets lost.
To avoid this loss, a technique is chosen, which is a compromise between DSBSC and SSBSC. This technique is known as Vestigial Side Band Suppressed Carrier (VSBSC) technique. The word “vestige” means “a part” from which, the name is derived.
VSBSC Modulation is the process, where a part of the signal called as vestige is modulated along with one sideband.

How is bandwidth of VSB obtained?

We know that the bandwidth of SSBSC modulated wave is fm. Since the VSBSC modulated wave contains the frequency components of one side band along with the vestige of other sideband, the bandwidth of it will be the sum of the bandwidth of SSBSC modulated wave and vestige frequency fv.

How to Calculate Bandwidth of VSB?

Bandwidth of VSB calculator uses Bandwidth of VSB = Maximum Frequency DSB-SC+Vestige Frequency to calculate the Bandwidth of VSB, Bandwidth of VSB is the sum of the bandwidth of SSBSC modulated wave and vestige frequency. Thus VSBSC modulated wave contains the frequency components of one side band along with the vestige of other sideband. Bandwidth of VSB is denoted by BW_VSB symbol.

How to calculate Bandwidth of VSB using this online calculator? To use this online calculator for Bandwidth of VSB, enter Maximum Frequency DSB-SC (f_m-DSB) & Vestige Frequency (f_v-DSB) and hit the calculate button. Here is how the Bandwidth of VSB calculation can be explained with given input values -> 250 = 150+100.

FAQ

What is Bandwidth of VSB?

Bandwidth of VSB is the sum of the bandwidth of SSBSC modulated wave and vestige frequency. Thus VSBSC modulated wave contains the frequency components of one side band along with the vestige of other sideband and is represented as BW_VSB = f_m-DSB+f_v-DSB or Bandwidth of VSB = Maximum Frequency DSB-SC+Vestige Frequency. Maximum Frequency DSB-SC is the highest frequency of a band-limited continuous-time signal & Vestige Frequency is or refers to the remaining or residual frequency of a sound or signal after the initial stimulus has been removed or stopped.

How to calculate Bandwidth of VSB?

Bandwidth of VSB is the sum of the bandwidth of SSBSC modulated wave and vestige frequency. Thus VSBSC modulated wave contains the frequency components of one side band along with the vestige of other sideband is calculated using Bandwidth of VSB = Maximum Frequency DSB-SC+Vestige Frequency. To calculate Bandwidth of VSB, you need Maximum Frequency DSB-SC (f_m-DSB) & Vestige Frequency (f_v-DSB). With our tool, you need to enter the respective value for Maximum Frequency DSB-SC & Vestige 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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