Pre 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%

✖Pre detection SNR of SSB is the Signal to Noise Ratio of the Amplitude Modulated wave measured at the input to the demodulator.ⓘ Pre Detection Signal to Noise Ratio of AM [SNR_pre]

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Pre Detection Signal to Noise Ratio of AM Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pre Detection SNR of SSB = (Amplitude of Carrier Signal^2*(1+Amplitude Sensitivity of Modulator^2*Total Power))/(2*Noise Density*Transmission Bandwidth)
SNR_pre = (A_c^2*(1+K_a^2*P_t))/(2*N₀*BW_tm)
This formula uses 6 Variables

Variables Used

Pre Detection SNR of SSB - (Measured in Decibel) - Pre detection SNR of SSB is the Signal to Noise Ratio of the Amplitude Modulated wave measured at the input to the demodulator.
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_pre = (A_c^2*(1+K_a^2*P_t))/(2*N₀*BW_tm) --> (17^2*(1+0.05^2*1.4))/(2*0.0056*4000)

Evaluating ... ...

SNR_pre = 6.47347098214286

STEP 3: Convert Result to Output's Unit

6.47347098214286 Decibel --> No Conversion Required

FINAL ANSWER

6.47347098214286 ≈ 6.473471 Decibel <-- Pre Detection SNR of SSB

(Calculation completed in 00.020 seconds)

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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

Pre Detection Signal to Noise Ratio of AM Formula

LaTeX Go

Pre Detection SNR of SSB = (Amplitude of Carrier Signal^2*(1+Amplitude Sensitivity of Modulator^2*Total Power))/(2*Noise Density*Transmission Bandwidth)
SNR_pre = (A_c^2*(1+K_a^2*P_t))/(2*N₀*BW_tm)

Explain SNR in 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 Pre Detection Signal to Noise Ratio of AM?

Pre Detection Signal to Noise Ratio of AM calculator 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 calculate 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 calculate Pre Detection Signal to Noise Ratio of AM using this online calculator? To use this online calculator 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. Here is how the Pre Detection Signal to Noise Ratio of AM calculation can be explained with given input values -> 6.476164 = (17^2*(1+0.05^2*1.4))/(2*0.0056*4000).

FAQ

What is Pre Detection Signal to Noise Ratio of AM?

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 and is represented as SNR_pre = (A_c^2*(1+K_a^2*P_t))/(2*N₀*BW_tm) or Pre Detection SNR of SSB = (Amplitude of Carrier Signal^2*(1+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 Pre Detection Signal to Noise Ratio of AM?

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 is calculated using Pre Detection SNR of SSB = (Amplitude of Carrier Signal^2*(1+Amplitude Sensitivity of Modulator^2*Total Power))/(2*Noise Density*Transmission Bandwidth). To calculate Pre 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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