Transmitted Power of DSB-SC with respect to Modulation Index Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transmitted Power of DSB-SC = Carrier Power DSB-SC*((Modulation Index in DSB-SC^2)/2)
Pt-DSB = Pc-DSB*((μDSB^2)/2)
This formula uses 3 Variables
Variables Used
Transmitted Power of DSB-SC - (Measured in Watt) - Transmitted Power of DSB-SC is the maximum power that can be transmitted over a communication channel while maintaining a desired signal-to-noise ratio (SNR).
Carrier Power DSB-SC - (Measured in Watt) - Carrier Power DSB-SC is the power dissipated by a carrier modulating wave.
Modulation Index in DSB-SC - Modulation Index in DSB-SC states the level of modulation that a carrier wave undergoes.
STEP 1: Convert Input(s) to Base Unit
Carrier Power DSB-SC: 1.156 Watt --> 1.156 Watt No Conversion Required
Modulation Index in DSB-SC: 0.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pt-DSB = Pc-DSB*((μDSB^2)/2) --> 1.156*((0.7^2)/2)
Evaluating ... ...
Pt-DSB = 0.28322
STEP 3: Convert Result to Output's Unit
0.28322 Watt --> No Conversion Required
FINAL ANSWER
0.28322 Watt <-- Transmitted Power of DSB-SC
(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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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)
Bandwidth in DSB-SC
​ Go Bandwidth in DSB-SC = 2*Maximum Frequency DSB-SC

Transmitted Power of DSB-SC with respect to Modulation Index Formula

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

What is DSB-SC?

In the process of Amplitude Modulation, the modulated wave consists of the carrier wave and two sidebands. The modulated wave has the information only in the sidebands. Sideband is nothing but a band of frequencies, containing power, which are the lower and higher frequencies of the carrier frequency.
The transmission of a signal, which contains a carrier along with two sidebands can be termed as Double Sideband Full Carrier system or simply DSBFC.
However, such a transmission is inefficient. Because, two-thirds of the power is being wasted in the carrier, which carries no information.
If this carrier is suppressed and the saved power is distributed to the two sidebands, then such a process is called as Double Sideband Suppressed Carrier system or simply DSBSC.

How transmitted power in DSB-SC is obtained?

Power of DSBSC wave is equal to the sum of powers of upper sideband and lower sideband frequency components. Therefore, the power required for transmitting DSBSC wave is equal to the power of both the sidebands. On simplifying this expression further, we get an expression of power with modulation index and the carrier power in it.

How to Calculate Transmitted Power of DSB-SC with respect to Modulation Index?

Transmitted Power of DSB-SC with respect to Modulation Index calculator uses Transmitted Power of DSB-SC = Carrier Power DSB-SC*((Modulation Index in DSB-SC^2)/2) to calculate the Transmitted Power of DSB-SC, Transmitted power of DSB-SC with respect to modulation index is equal to the sum of powers of upper sideband and lower sideband frequency components. And it is the actual amount of power (in watts) of a particular frequency energy that a transmitter produces at its output. Transmitted Power of DSB-SC is denoted by Pt-DSB symbol.

How to calculate Transmitted Power of DSB-SC with respect to Modulation Index using this online calculator? To use this online calculator for Transmitted Power of DSB-SC with respect to Modulation Index, enter Carrier Power DSB-SC (Pc-DSB) & Modulation Index in DSB-SC DSB) and hit the calculate button. Here is how the Transmitted Power of DSB-SC with respect to Modulation Index calculation can be explained with given input values -> 0.20808 = 1.156*((0.7^2)/2).

FAQ

What is Transmitted Power of DSB-SC with respect to Modulation Index?
Transmitted power of DSB-SC with respect to modulation index is equal to the sum of powers of upper sideband and lower sideband frequency components. And it is the actual amount of power (in watts) of a particular frequency energy that a transmitter produces at its output and is represented as Pt-DSB = Pc-DSB*((μDSB^2)/2) or Transmitted Power of DSB-SC = Carrier Power DSB-SC*((Modulation Index in DSB-SC^2)/2). Carrier Power DSB-SC is the power dissipated by a carrier modulating wave & Modulation Index in DSB-SC states the level of modulation that a carrier wave undergoes.
How to calculate Transmitted Power of DSB-SC with respect to Modulation Index?
Transmitted power of DSB-SC with respect to modulation index is equal to the sum of powers of upper sideband and lower sideband frequency components. And it is the actual amount of power (in watts) of a particular frequency energy that a transmitter produces at its output is calculated using Transmitted Power of DSB-SC = Carrier Power DSB-SC*((Modulation Index in DSB-SC^2)/2). To calculate Transmitted Power of DSB-SC with respect to Modulation Index, you need Carrier Power DSB-SC (Pc-DSB) & Modulation Index in DSB-SC DSB). With our tool, you need to enter the respective value for Carrier Power DSB-SC & Modulation Index in DSB-SC and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Transmitted Power of DSB-SC?
In this formula, Transmitted Power of DSB-SC uses Carrier Power DSB-SC & Modulation Index in DSB-SC. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Transmitted Power of DSB-SC = Upper Sideband Power in DSB-SC+Lower Sideband Power DSB-SC
  • Transmitted Power of DSB-SC = Carrier Power DSB-SC*(Modulation Index in DSB-SC^2/4)
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