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Post Detection Signal to Noise Ratio of AM Formula

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Post Detection SNR of AM is the ratio of recovered message power to the output noise power of the amplitude modulated wave. Check FAQs

SNR post = \frac{{A c}^{2} \cdot {K a}^{2} \cdot P t}{2 \cdot N 0 \cdot BW tm}

SNR_post - Post Detection SNR of AM?A_c - Amplitude of Carrier Signal?K_a - Amplitude Sensitivity of Modulator?P_t - Total Power?N₀ - Noise Density?BW_tm - Transmission Bandwidth?

Post Detection Signal to Noise Ratio of AM Example

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

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

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

0.0226 = \frac{17^{2} \cdot {0.05}^{2} \cdot 1.4}{2 \cdot 0.0056 \cdot 4000}

0.0226 = \frac{{17V}^{2} \cdot {0.05}^{2} \cdot 1.4W}{2 \cdot 0.0056W*s \cdot 4000Hz}

0.0226 = \frac{17^{2} \cdot {0.05}^{2} \cdot 1.4}{2 \cdot 0.0056 \cdot 4000}

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Post Detection Signal to Noise Ratio of AM Solution

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

FIRST Step Consider the formula

SNR post = \frac{{A c}^{2} \cdot {K a}^{2} \cdot P t}{2 \cdot N 0 \cdot BW tm}

Next Step Substitute values of Variables

∴

SNR post = \frac{{17V}^{2} \cdot {0.05}^{2} \cdot 1.4W}{2 \cdot 0.0056W*s \cdot 4000Hz}

Next Step Convert Units

∴

SNR post = \frac{{17V}^{2} \cdot {0.05}^{2} \cdot 1.4W}{2 \cdot 0.0056J \cdot 4000Hz}

Next Step Prepare to Evaluate

∴

SNR post = \frac{17^{2} \cdot {0.05}^{2} \cdot 1.4}{2 \cdot 0.0056 \cdot 4000}

Next Step Evaluate

∴

SNR post = 0.022578125

LAST Step Rounding Answer

∴

SNR post = 0.0226

Post Detection Signal to Noise Ratio of AM Formula Elements

Variables

Post Detection SNR of AM

Post Detection SNR of AM is the ratio of recovered message power to the output noise power of the amplitude modulated wave.

Symbol: SNR_post

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Post Detection SNR of AM

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 Post Detection Signal to Noise Ratio of AM?

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

How to evaluate Post Detection Signal to Noise Ratio of AM using this online evaluator? To use this online evaluator for Post 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 Post Detection Signal to Noise Ratio of AM

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

The formula of Post Detection Signal to Noise Ratio of AM is expressed as Post Detection SNR of AM = (Amplitude of Carrier Signal^2*Amplitude Sensitivity of Modulator^2*Total Power)/(2*Noise Density*Transmission Bandwidth). Here is an example- 0.025271 = (17^2*0.05^2*1.4)/(2*0.0056*4000).

How to calculate Post 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 Post Detection Signal to Noise Ratio of AM using the formula - Post Detection SNR of AM = (Amplitude of Carrier Signal^2*Amplitude Sensitivity of Modulator^2*Total Power)/(2*Noise Density*Transmission Bandwidth).

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Post Detection Signal to Noise Ratio of AM Formula

Post Detection Signal to Noise Ratio of AM Example

Post Detection Signal to Noise Ratio of AM Solution

Post Detection Signal to Noise Ratio of AM Formula Elements

Other formulas in Amplitude Modulation Characteristics category

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

FAQs on Post Detection Signal to Noise Ratio of AM

Variable Name