Pre Detection Signal to Noise Ratio Calculator

✖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.ⓘ Amplitude of Carrier Signal DSB-SC [A_DSB]			+10% -10%
✖Total Power DSB-SC is the amount of energy liberated per second in an analog signal.ⓘ Total Power DSB-SC [P_DSB-SC]			+10% -10%
✖Noise density DSB-SC is the power spectral density of noise or the noise power per unit of bandwidth.ⓘ Noise Density DSB-SC [N_0-DSB]			+10% -10%
✖Transmission Bandwidth DSBSC is the bandwidth of the transmitted wave.ⓘ Transmission Bandwidth DSBSC [BW_t-DSB]			+10% -10%

✖Pre detection SNR of DSB-SC is the Signal to Noise Ratio of the Amplitude Modulated wave measured at the input to the demodulator.ⓘ Pre Detection Signal to Noise Ratio [SNR_pre]

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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)
SNR_pre = (A_DSB^2*P_DSB-SC)/(2*N_0-DSB*BW_t-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

SNR_pre = (A_DSB^2*P_DSB-SC)/(2*N_0-DSB*BW_t-DSB) --> (16.999^2*129.8)/(2*10*4000)

Evaluating ... ...

SNR_pre = 0.4688473366225

STEP 3: Convert Result to Output's Unit

0.4688473366225 Decibel --> No Conversion Required

FINAL ANSWER

0.4688473366225 ≈ 0.468847 Decibel <-- Pre Detection SNR of DSB-SC

(Calculation completed in 00.004 seconds)

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Nitte Meenakshi Institute of Technology (NMIT), Bangalore

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< DSBSC Modulation Calculators

Pre Detection Signal to Noise Ratio

LaTeX 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

LaTeX 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

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

Bandwidth in DSB-SC

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

< Sideband and Frequency Modulation Calculators

Pre Detection Signal to Noise Ratio

LaTeX 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

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

Bandwidth of VSB

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

Bandwidth in DSB-SC

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

Pre Detection Signal to Noise Ratio Formula

LaTeX 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)
SNR_pre = (A_DSB^2*P_DSB-SC)/(2*N_0-DSB*BW_t-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 SNR_pre 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 (A_DSB), Total Power DSB-SC (P_DSB-SC), Noise Density DSB-SC (N_0-DSB) & Transmission Bandwidth DSBSC (BW_t-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 SNR_pre = (A_DSB^2*P_DSB-SC)/(2*N_0-DSB*BW_t-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 (A_DSB), Total Power DSB-SC (P_DSB-SC), Noise Density DSB-SC (N_0-DSB) & Transmission Bandwidth DSBSC (BW_t-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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