Post Detection Signal to Noise Ratio of AM Calculator

✖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.ⓘ Amplitude of Carrier Signal [A_c]			+10% -10%
✖The Amplitude Sensitivity of Modulator is a constant variable of the modulator.ⓘ Amplitude Sensitivity of Modulator [K_a]			+10% -10%
✖Total Power is the amount of energy liberated per second in an analog signal.ⓘ Total Power [P_t]			+10% -10%
✖Noise density is the power spectral density of noise or the noise power per unit of bandwidth.ⓘ Noise Density [N₀]			+10% -10%
✖Transmission Bandwidth is the bandwidth of the transmitted wave.ⓘ Transmission Bandwidth [BW_tm]			+10% -10%

✖Post Detection SNR of AM is the ratio of recovered message power to the output noise power of the amplitude modulated wave.ⓘ Post Detection Signal to Noise Ratio of AM [SNR_post]

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Post Detection Signal to Noise Ratio of AM Solution

STEP 0: Pre-Calculation Summary

Formula Used

Post Detection SNR of AM = (Amplitude of Carrier Signal^2*Amplitude Sensitivity of Modulator^2*Total Power)/(2*Noise Density*Transmission Bandwidth)
SNR_post = (A_c^2*K_a^2*P_t)/(2*N₀*BW_tm)
This formula uses 6 Variables

Variables Used

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.
Amplitude of Carrier Signal - (Measured in Volt) - 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.
Amplitude Sensitivity of Modulator - The Amplitude Sensitivity of Modulator is a constant variable of the modulator.
Total Power - (Measured in Watt) - Total Power is the amount of energy liberated per second in an analog signal.
Noise Density - (Measured in Joule) - Noise density is the power spectral density of noise or the noise power per unit of bandwidth.
Transmission Bandwidth - (Measured in Hertz) - Transmission Bandwidth is the bandwidth of the transmitted wave.

STEP 1: Convert Input(s) to Base Unit

Amplitude of Carrier Signal: 17 Volt --> 17 Volt No Conversion Required
Amplitude Sensitivity of Modulator: 0.05 --> No Conversion Required
Total Power: 1.4 Watt --> 1.4 Watt No Conversion Required
Noise Density: 0.0056 Watt-Second --> 0.0056 Joule (Check conversion here)
Transmission Bandwidth: 4000 Hertz --> 4000 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SNR_post = (A_c^2*K_a^2*P_t)/(2*N₀*BW_tm) --> (17^2*0.05^2*1.4)/(2*0.0056*4000)

Evaluating ... ...

SNR_post = 0.022578125

STEP 3: Convert Result to Output's Unit

0.022578125 --> No Conversion Required

FINAL ANSWER

0.022578125 ≈ 0.022578 <-- Post Detection SNR of AM

(Calculation completed in 00.020 seconds)

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Nitte Meenakshi Institute of Technology (NMIT), Bangalore

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< Amplitude Modulation Characteristics Calculators

Magnitude of Modulating Signal

LaTeX Go Modulating Signal Magnitude = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/2

Maximum Amplitude of AM Wave

LaTeX Go Maximum Amplitude of AM Wave = Amplitude of Carrier Signal*(1+Modulation Index^2)

Amplitude Sensitivity of Modulator

LaTeX Go Amplitude Sensitivity of Modulator = 1/Amplitude of Carrier Signal

Bandwidth of AM wave

LaTeX Go Bandwidth of AM Wave = 2*Maximum Frequency

Post Detection Signal to Noise Ratio of AM Formula

LaTeX Go

Post Detection SNR of AM = (Amplitude of Carrier Signal^2*Amplitude Sensitivity of Modulator^2*Total Power)/(2*Noise Density*Transmission Bandwidth)
SNR_post = (A_c^2*K_a^2*P_t)/(2*N₀*BW_tm)

What is the significance of Amplitude Modulation?

Amplitude Modulation provides an effective means for sending a bandlimited signal from one place to another. For wireline channels, using baseband or amplitude modulation makes little difference in terms of signal-to-noise ratio. For wireless channels, amplitude modulation is the only alternative. The one AM parameter that does not affect signal-to-noise ratio is the carrier frequency.

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

Post Detection Signal to Noise Ratio of AM calculator uses Post Detection SNR of AM = (Amplitude of Carrier Signal^2*Amplitude Sensitivity of Modulator^2*Total Power)/(2*Noise Density*Transmission Bandwidth) to calculate 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 calculate Post Detection Signal to Noise Ratio of AM using this online calculator? To use this online calculator 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. Here is how the Post Detection Signal to Noise Ratio of AM calculation can be explained with given input values -> 0.025271 = (17^2*0.05^2*1.4)/(2*0.0056*4000).

FAQ

What is Post Detection Signal to Noise Ratio 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 and is represented as SNR_post = (A_c^2*K_a^2*P_t)/(2*N₀*BW_tm) or Post Detection SNR of AM = (Amplitude of Carrier Signal^2*Amplitude Sensitivity of Modulator^2*Total Power)/(2*Noise Density*Transmission Bandwidth). 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, The Amplitude Sensitivity of Modulator is a constant variable of the modulator, Total Power is the amount of energy liberated per second in an analog signal, Noise density is the power spectral density of noise or the noise power per unit of bandwidth & Transmission Bandwidth is the bandwidth of the transmitted wave.

How to calculate Post Detection Signal to Noise Ratio 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 is calculated using Post Detection SNR of AM = (Amplitude of Carrier Signal^2*Amplitude Sensitivity of Modulator^2*Total Power)/(2*Noise Density*Transmission Bandwidth). To calculate Post Detection Signal to Noise Ratio of AM, you need Amplitude of Carrier Signal (A_c), Amplitude Sensitivity of Modulator (K_a), Total Power (P_t), Noise Density (N₀) & Transmission Bandwidth (BW_tm). With our tool, you need to enter the respective value for Amplitude of Carrier Signal, Amplitude Sensitivity of Modulator, Total Power, Noise Density & Transmission Bandwidth 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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