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Pre Detection Signal to Noise Ratio Formula

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Pre detection SNR of DSB-SC is the Signal to Noise Ratio of the Amplitude Modulated wave measured at the input to the demodulator. Check FAQs

SNR pre = \frac{{A DSB}^{2} \cdot P DSB-SC}{2 \cdot N 0-DSB \cdot BW t-DSB}

SNR_pre - Pre Detection SNR of DSB-SC?A_DSB - Amplitude of Carrier Signal DSB-SC?P_DSB-SC - Total Power DSB-SC?N_0-DSB - Noise Density DSB-SC?BW_t-DSB - Transmission Bandwidth DSBSC?

Pre Detection Signal to Noise Ratio Example

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Here is how the Pre Detection Signal to Noise Ratio equation looks like with Values.

Here is how the Pre Detection Signal to Noise Ratio equation looks like with Units.

Here is how the Pre Detection Signal to Noise Ratio equation looks like.

0.4688 = \frac{{16.999}^{2} \cdot 129.8}{2 \cdot 10 \cdot 4000}

0.4688dB = \frac{{16.999V}^{2} \cdot 129.8W}{2 \cdot 10W*s \cdot 4000Hz}

0.4688 = \frac{{16.999}^{2} \cdot 129.8}{2 \cdot 10 \cdot 4000}

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Pre Detection Signal to Noise Ratio Solution

Follow our step by step solution on how to calculate Pre Detection Signal to Noise Ratio?

FIRST Step Consider the formula

SNR pre = \frac{{A DSB}^{2} \cdot P DSB-SC}{2 \cdot N 0-DSB \cdot BW t-DSB}

Next Step Substitute values of Variables

∴

SNR pre = \frac{{16.999V}^{2} \cdot 129.8W}{2 \cdot 10W*s \cdot 4000Hz}

Next Step Convert Units

∴

SNR pre = \frac{{16.999V}^{2} \cdot 129.8W}{2 \cdot 10J \cdot 4000Hz}

Next Step Prepare to Evaluate

∴

SNR pre = \frac{{16.999}^{2} \cdot 129.8}{2 \cdot 10 \cdot 4000}

Next Step Evaluate

∴

SNR pre = 0.4688473366225dB

LAST Step Rounding Answer

∴

SNR pre = 0.4688dB

Pre Detection Signal to Noise Ratio Formula Elements

Variables

Pre Detection SNR of DSB-SC

Pre detection SNR of DSB-SC is the Signal to Noise Ratio of the Amplitude Modulated wave measured at the input to the demodulator.

Symbol: SNR_pre

Measurement: NoiseUnit: dB

Note: Value should be greater than 0.

Formulas to find Pre Detection SNR of DSB-SC

Amplitude of Carrier Signal DSB-SC

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.

Symbol: A_DSB

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Amplitude of Carrier Signal DSB-SC

Total Power DSB-SC

Total Power DSB-SC is the amount of energy liberated per second in an analog signal.

Symbol: P_DSB-SC

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Total Power DSB-SC

Noise Density DSB-SC

Noise density DSB-SC is the power spectral density of noise or the noise power per unit of bandwidth.

Symbol: N_0-DSB

Measurement: EnergyUnit: W*s

Note: Value should be greater than 0.

Formulas to find Noise Density DSB-SC

Transmission Bandwidth DSBSC

Transmission Bandwidth DSBSC is the bandwidth of the transmitted wave.

Symbol: BW_t-DSB

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Transmission Bandwidth DSBSC

Other formulas in DSBSC Modulation category

Go Bandwidth in DSB-SC

BW DSB = 2 \cdot f m-DSB

Go Bandwidth of VSB

BW VSB = f m-DSB + f v-DSB

Go Transmitted Power of DSB-SC

P t-DSB = P U-DSB + P L-DSB

Go Bandwidth of FM by Carson Rule with Beta

BW FM = 2 \cdot (1 + β) \cdot f mod

How to Evaluate Pre Detection Signal to Noise Ratio?

Pre Detection Signal to Noise Ratio evaluator 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 evaluate 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 evaluate Pre Detection Signal to Noise Ratio using this online evaluator? To use this online evaluator 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.

FAQs on Pre Detection Signal to Noise Ratio

What is the formula to find Pre Detection Signal to Noise Ratio?

The formula of Pre Detection Signal to Noise Ratio is expressed as 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). Here is an example- 0.468903 = (16.999^2*129.8)/(2*10*4000).

How to calculate Pre Detection Signal to Noise Ratio?

With 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) we can find Pre Detection Signal to Noise Ratio using the 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).

Can the Pre Detection Signal to Noise Ratio be negative?

No, the Pre Detection Signal to Noise Ratio, measured in Noise cannot be negative.

Which unit is used to measure Pre Detection Signal to Noise Ratio?

Pre Detection Signal to Noise Ratio is usually measured using the Decibel[dB] for Noise. Neper[dB], MilliDecibel[dB] are the few other units in which Pre Detection Signal to Noise Ratio can be measured.

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Pre Detection Signal to Noise Ratio Formula

Pre Detection Signal to Noise Ratio Example

Pre Detection Signal to Noise Ratio Solution

Pre Detection Signal to Noise Ratio Formula Elements

Other formulas in DSBSC Modulation category

How to Evaluate Pre Detection Signal to Noise Ratio?

FAQs on Pre Detection Signal to Noise Ratio

Variable Name