Pre Detection Signal to Noise Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
SNRpre = (ADSB^2*PDSB-SC)/(2*N0-DSB*BWt-DSB)
This formula uses 5 Variables
Variables Used
Pre Detection SNR of DSB-SC - (Measured in Decibel) - Pre detection SNR of DSB-SC is the Signal to Noise Ratio of the Amplitude Modulated wave measured at the input to the demodulator.
Amplitude of Carrier Signal DSB-SC - (Measured in Volt) - Amplitude of Carrier Signal DSB-SC is varied with the instantaneous amplitude of the modulating signal. The modulating signal is the signal that contains the information to be transmitted.
Total Power DSB-SC - (Measured in Watt) - Total Power DSB-SC is the amount of energy liberated per second in an analog signal.
Noise Density DSB-SC - (Measured in Joule) - Noise density DSB-SC is the power spectral density of noise or the noise power per unit of bandwidth.
Transmission Bandwidth DSBSC - (Measured in Hertz) - Transmission Bandwidth DSBSC is the bandwidth of the transmitted wave.
STEP 1: Convert Input(s) to Base Unit
Amplitude of Carrier Signal DSB-SC: 16.999 Volt --> 16.999 Volt No Conversion Required
Total Power DSB-SC: 129.8 Watt --> 129.8 Watt No Conversion Required
Noise Density DSB-SC: 10 Watt-Second --> 10 Joule (Check conversion here)
Transmission Bandwidth DSBSC: 4000 Hertz --> 4000 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SNRpre = (ADSB^2*PDSB-SC)/(2*N0-DSB*BWt-DSB) --> (16.999^2*129.8)/(2*10*4000)
Evaluating ... ...
SNRpre = 0.4688473366225
STEP 3: Convert Result to Output's Unit
0.4688473366225 Decibel --> No Conversion Required
FINAL ANSWER
0.4688473366225 โ‰ˆ 0.468847 Decibel <-- Pre Detection SNR of DSB-SC
(Calculation completed in 00.004 seconds)

Credits

Created by Shashank
Nitte Meenakshi Institute of Technology (NMIT), Bangalore
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Verified by Rachita C
BMS College Of Engineering (BMSCE), Banglore
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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

Pre Detection Signal to Noise Ratio Formula

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)
SNRpre = (ADSB^2*PDSB-SC)/(2*N0-DSB*BWt-DSB)

Signal to Noise Ratio

Signal to Noise Ratio is a measure of the strength of the desired signal relative to background noise (undesired signal). Pre detection signal to noise ratio is the the SNR of the signal measured at a point in the system before the message signal is demodulated. For a DSB modulated wave, pre detection SNR and post detection SNR are the same, hence the Figure Of Merit (FOM) is 1.

How to Calculate Pre Detection Signal to Noise Ratio?

Pre Detection Signal to Noise Ratio calculator uses 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) to calculate the Pre Detection SNR of DSB-SC, The Pre detection signal to noise ratio is the signal to noise ratio of the signal measured at the input of the demodulator. Pre Detection SNR of DSB-SC is denoted by SNRpre symbol.

How to calculate Pre Detection Signal to Noise Ratio using this online calculator? To use this online calculator for Pre Detection Signal to Noise Ratio, enter Amplitude of Carrier Signal DSB-SC (ADSB), Total Power DSB-SC (PDSB-SC), Noise Density DSB-SC (N0-DSB) & Transmission Bandwidth DSBSC (BWt-DSB) and hit the calculate button. Here is how the Pre Detection Signal to Noise Ratio calculation can be explained with given input values -> 0.468903 = (16.999^2*129.8)/(2*10*4000).

FAQ

What is Pre Detection Signal to Noise Ratio?
The Pre detection signal to noise ratio is the signal to noise ratio of the signal measured at the input of the demodulator and is represented as SNRpre = (ADSB^2*PDSB-SC)/(2*N0-DSB*BWt-DSB) or 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). Amplitude of Carrier Signal DSB-SC is varied with the instantaneous amplitude of the modulating signal. The modulating signal is the signal that contains the information to be transmitted, Total Power DSB-SC is the amount of energy liberated per second in an analog signal, Noise density DSB-SC is the power spectral density of noise or the noise power per unit of bandwidth & Transmission Bandwidth DSBSC is the bandwidth of the transmitted wave.
How to calculate Pre Detection Signal to Noise Ratio?
The Pre detection signal to noise ratio is the signal to noise ratio of the signal measured at the input of the demodulator is calculated using 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). To calculate Pre Detection Signal to Noise Ratio, you need Amplitude of Carrier Signal DSB-SC (ADSB), Total Power DSB-SC (PDSB-SC), Noise Density DSB-SC (N0-DSB) & Transmission Bandwidth DSBSC (BWt-DSB). With our tool, you need to enter the respective value for Amplitude of Carrier Signal DSB-SC, Total Power DSB-SC, Noise Density DSB-SC & Transmission Bandwidth DSBSC 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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