SNR for AM Demodulation Calculator

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Analog Noise and Power Analysis

Amplitude Modulation Characteristics

DSBSC Modulation

Frequency Modulation

Fundamentals of Analog Communications

Sideband and Frequency Modulation

✖Modulation Index states the level of modulation that a carrier wave undergoes.ⓘ Modulation Index [μ]			+10% -10%
✖Amplitude of Message Signal refers to the maximum variation in the amplitude of the carrier wave caused by the modulating signal, which typically carries the information being transmitted.ⓘ Amplitude of Message Signal [A_sm]			+10% -10%
✖Signal to noise ratio (SNR) is a measure used in science and engineering that compares the level of a desired signal to the level of background noise.ⓘ Signal to Noise Ratio [SNR]			+10% -10%

✖SNR of AM System is a measure used in science and that compares the level of a desired signal to the level of background noise.ⓘ SNR for AM Demodulation [SNR_am]

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Formula

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SNR for AM Demodulation

Formula

`"SNR"_{"am"} = (("μ"^2*"A"_{"sm"})/(1+"μ"^2*"A"_{"sm"}))*"SNR"`

Example

`"0.02967dB"=((("0.36")^2*"0.4")/(1+("0.36")^2*"0.4"))*"0.602dB"`

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SNR for AM Demodulation Solution

STEP 0: Pre-Calculation Summary

Formula Used

SNR of AM System = ((Modulation Index^2*Amplitude of Message Signal)/(1+Modulation Index^2*Amplitude of Message Signal))*Signal to Noise Ratio
SNR_am = ((μ^2*A_sm)/(1+μ^2*A_sm))*SNR
This formula uses 4 Variables

Variables Used

SNR of AM System - (Measured in Decibel) - SNR of AM System is a measure used in science and that compares the level of a desired signal to the level of background noise.
Modulation Index - Modulation Index states the level of modulation that a carrier wave undergoes.
Amplitude of Message Signal - Amplitude of Message Signal refers to the maximum variation in the amplitude of the carrier wave caused by the modulating signal, which typically carries the information being transmitted.
Signal to Noise Ratio - (Measured in Decibel) - Signal to noise ratio (SNR) is a measure used in science and engineering that compares the level of a desired signal to the level of background noise.

STEP 1: Convert Input(s) to Base Unit

Modulation Index: 0.36 --> No Conversion Required
Amplitude of Message Signal: 0.4 --> No Conversion Required
Signal to Noise Ratio: 0.602 Decibel --> 0.602 Decibel No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SNR_am = ((μ^2*A_sm)/(1+μ^2*A_sm))*SNR --> ((0.36^2*0.4)/(1+0.36^2*0.4))*0.602

Evaluating ... ...

SNR_am = 0.0296696075448737

STEP 3: Convert Result to Output's Unit

0.0296696075448737 Decibel --> No Conversion Required

FINAL ANSWER

0.0296696075448737 ≈ 0.02967 Decibel <-- SNR of AM System

(Calculation completed in 00.004 seconds)

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< 14 Analog Noise and Power Analysis Calculators

SNR for AM Demodulation

Go SNR of AM System = ((Modulation Index^2*Amplitude of Message Signal)/(1+Modulation Index^2*Amplitude of Message Signal))*Signal to Noise Ratio

Mean Square Value of Shot Noise

Go Mean Square Shot Noise Current = sqrt(2*(Total Current+Reverse Saturation Current)*[Charge-e]*Effective Noise Bandwidth)

RMS Thermal Noise Current

Go RMS Thermal Noise Current = sqrt(4*[BoltZ]*Temperature*Conductance*Noise Bandwidth)

RMS Noise Voltage

Go RMS Noise Voltage = sqrt(4*[BoltZ]*Temperature*Noise Bandwidth*Noise Resistance)

Noise Factor

Go Noise Factor = (Signal Power at Input*Noise Power at Output)/(Signal Power at Output*Noise Power at Input)

SNR for PM System

Go SNR of PM System = Phase Deviation Constant^2*Amplitude of Message Signal*Signal to Noise Ratio

SNR for FM System

Go SNR of FM System = 3*Deviation Ratio^2*Amplitude of Message Signal*Signal to Noise Ratio

Power Density Spectrum of Thermal Noise

Go Power Spectral Density of Thermal Noise = 2*[BoltZ]*Temperature*Noise Resistance

Noise Power at Output of Amplifier

Go Noise Power at Output = Noise Power at Input*Noise Factor*Noise Power Gain

Thermal Noise Power

Go Thermal Noise Power = [BoltZ]*Temperature*Noise Bandwidth

Output SNR

Go Signal to Noise Ratio = log10(Signal Power/Noise Power)

Power Spectral Density of White Noise

Go Power Spectral Density of White Noise = [BoltZ]*Temperature/2

Noise Power Gain

Go Noise Power Gain = Signal Power at Output/Signal Power at Input

Equivalent Noise Temperature

Go Temperature = (Noise Factor-1)*Room Temperature

SNR for AM Demodulation Formula

SNR of AM System = ((Modulation Index^2*Amplitude of Message Signal)/(1+Modulation Index^2*Amplitude of Message Signal))*Signal to Noise Ratio
SNR_am = ((μ^2*A_sm)/(1+μ^2*A_sm))*SNR

Why do we need to demodulate the signal?

With high frequency, The diaphragm of a telephone receiver cannot vibrate. Moreover, this frequency is beyond the audible range of the human ear. To separate the audio frequencies from radio frequency carrier waves a demodulator comes in use.

How to Calculate SNR for AM Demodulation?

SNR for AM Demodulation calculator uses SNR of AM System = ((Modulation Index^2*Amplitude of Message Signal)/(1+Modulation Index^2*Amplitude of Message Signal))*Signal to Noise Ratio to calculate the SNR of AM System, The SNR for AM Demodulation formula is defined the ratio of the signal power to noise power. The higher the value of SNR, the greater will be the quality of the received output. SNR of AM System is denoted by SNR_am symbol.

How to calculate SNR for AM Demodulation using this online calculator? To use this online calculator for SNR for AM Demodulation, enter Modulation Index (μ), Amplitude of Message Signal (A_sm) & Signal to Noise Ratio (SNR) and hit the calculate button. Here is how the SNR for AM Demodulation calculation can be explained with given input values -> 0.02967 = ((0.36^2*0.4)/(1+0.36^2*0.4))*0.602.

FAQ

What is SNR for AM Demodulation?

The SNR for AM Demodulation formula is defined the ratio of the signal power to noise power. The higher the value of SNR, the greater will be the quality of the received output and is represented as SNR_am = ((μ^2*A_sm)/(1+μ^2*A_sm))*SNR or SNR of AM System = ((Modulation Index^2*Amplitude of Message Signal)/(1+Modulation Index^2*Amplitude of Message Signal))*Signal to Noise Ratio. Modulation Index states the level of modulation that a carrier wave undergoes, Amplitude of Message Signal refers to the maximum variation in the amplitude of the carrier wave caused by the modulating signal, which typically carries the information being transmitted & Signal to noise ratio (SNR) is a measure used in science and engineering that compares the level of a desired signal to the level of background noise.

How to calculate SNR for AM Demodulation?

The SNR for AM Demodulation formula is defined the ratio of the signal power to noise power. The higher the value of SNR, the greater will be the quality of the received output is calculated using SNR of AM System = ((Modulation Index^2*Amplitude of Message Signal)/(1+Modulation Index^2*Amplitude of Message Signal))*Signal to Noise Ratio. To calculate SNR for AM Demodulation, you need Modulation Index (μ), Amplitude of Message Signal (A_sm) & Signal to Noise Ratio (SNR). With our tool, you need to enter the respective value for Modulation Index, Amplitude of Message Signal & Signal to Noise Ratio 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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