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Pre Detection Signal to Noise Ratio of AM Formula

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

SNR pre = \frac{{A c}^{2} \cdot (1 + {K a}^{2} \cdot P t)}{2 \cdot N 0 \cdot BW tm}

SNR_pre - Pre Detection SNR of SSB?A_c - Amplitude of Carrier Signal?K_a - Amplitude Sensitivity of Modulator?P_t - Total Power?N₀ - Noise Density?BW_tm - Transmission Bandwidth?

Pre Detection Signal to Noise Ratio of AM Example

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

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

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

6.4735 = \frac{17^{2} \cdot (1 + {0.05}^{2} \cdot 1.4)}{2 \cdot 0.0056 \cdot 4000}

6.4735dB = \frac{{17V}^{2} \cdot (1 + {0.05}^{2} \cdot 1.4W)}{2 \cdot 0.0056W*s \cdot 4000Hz}

6.4735 = \frac{17^{2} \cdot (1 + {0.05}^{2} \cdot 1.4)}{2 \cdot 0.0056 \cdot 4000}

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Pre Detection Signal to Noise Ratio of AM Solution

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

FIRST Step Consider the formula

SNR pre = \frac{{A c}^{2} \cdot (1 + {K a}^{2} \cdot P t)}{2 \cdot N 0 \cdot BW tm}

Next Step Substitute values of Variables

∴

SNR pre = \frac{{17V}^{2} \cdot (1 + {0.05}^{2} \cdot 1.4W)}{2 \cdot 0.0056W*s \cdot 4000Hz}

Next Step Convert Units

∴

SNR pre = \frac{{17V}^{2} \cdot (1 + {0.05}^{2} \cdot 1.4W)}{2 \cdot 0.0056J \cdot 4000Hz}

Next Step Prepare to Evaluate

∴

SNR pre = \frac{17^{2} \cdot (1 + {0.05}^{2} \cdot 1.4)}{2 \cdot 0.0056 \cdot 4000}

Next Step Evaluate

∴

SNR pre = 6.47347098214286dB

LAST Step Rounding Answer

∴

SNR pre = 6.4735dB

Pre Detection Signal to Noise Ratio of AM Formula Elements

Variables

Pre Detection SNR of SSB

Pre detection SNR of SSB 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 SSB

Amplitude of Carrier Signal

Amplitude of Carrier Signal is varied in accordance with the instantaneous amplitude of the modulating signal. The modulating signal is the signal that contains the information to be transmitted.

Symbol: A_c

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Amplitude of Carrier Signal

Amplitude Sensitivity of Modulator

The Amplitude Sensitivity of Modulator is a constant variable of the modulator.

Symbol: K_a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Amplitude Sensitivity of Modulator

Total Power

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

Symbol: P_t

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Total Power

Noise Density

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

Symbol: N₀

Measurement: EnergyUnit: W*s

Note: Value should be greater than 0.

Formulas to find Noise Density

Transmission Bandwidth

Transmission Bandwidth is the bandwidth of the transmitted wave.

Symbol: BW_tm

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Transmission Bandwidth

Other formulas in Amplitude Modulation Characteristics category

Go Bandwidth of AM wave

BW am = 2 \cdot f m

Go Magnitude of Modulating Signal

A = \frac{A max - A min}{2}

Go Amplitude Sensitivity of Modulator

K a = \frac{1}{A c}

Go Maximum Amplitude of AM Wave

A max = A c \cdot (1 + μ^{2})

How to Evaluate Pre Detection Signal to Noise Ratio of AM?

Pre Detection Signal to Noise Ratio of AM evaluator uses Pre Detection SNR of SSB = (Amplitude of Carrier Signal^2*(1+Amplitude Sensitivity of Modulator^2*Total Power))/(2*Noise Density*Transmission Bandwidth) to evaluate the Pre Detection SNR of SSB, The Pre Detection Signal to Noise Ratio of AM is the signal to noise ratio of the amplitude modulated signal measured at the input of the demodulator. Pre Detection SNR of SSB is denoted by SNR_pre symbol.

How to evaluate Pre Detection Signal to Noise Ratio of AM using this online evaluator? To use this online evaluator for Pre Detection Signal to Noise Ratio of AM, enter Amplitude of Carrier Signal (A_c), Amplitude Sensitivity of Modulator (K_a), Total Power (P_t), Noise Density (N₀) & Transmission Bandwidth (BW_tm) and hit the calculate button.

FAQs on Pre Detection Signal to Noise Ratio of AM

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

The formula of Pre Detection Signal to Noise Ratio of AM is expressed as Pre Detection SNR of SSB = (Amplitude of Carrier Signal^2*(1+Amplitude Sensitivity of Modulator^2*Total Power))/(2*Noise Density*Transmission Bandwidth). Here is an example- 6.476164 = (17^2*(1+0.05^2*1.4))/(2*0.0056*4000).

How to calculate Pre Detection Signal to Noise Ratio of AM?

With Amplitude of Carrier Signal (A_c), Amplitude Sensitivity of Modulator (K_a), Total Power (P_t), Noise Density (N₀) & Transmission Bandwidth (BW_tm) we can find Pre Detection Signal to Noise Ratio of AM using the formula - Pre Detection SNR of SSB = (Amplitude of Carrier Signal^2*(1+Amplitude Sensitivity of Modulator^2*Total Power))/(2*Noise Density*Transmission Bandwidth).

Can the Pre Detection Signal to Noise Ratio of AM be negative?

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

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

Pre Detection Signal to Noise Ratio of AM 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 of AM can be measured.

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Pre Detection Signal to Noise Ratio of AM Formula

Pre Detection Signal to Noise Ratio of AM Example

Pre Detection Signal to Noise Ratio of AM Solution

Pre Detection Signal to Noise Ratio of AM Formula Elements

Other formulas in Amplitude Modulation Characteristics category

How to Evaluate Pre Detection Signal to Noise Ratio of AM?

FAQs on Pre Detection Signal to Noise Ratio of AM

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