Minimum Amplitude 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%
✖Modulation Index states the level of modulation that a carrier wave undergoes.ⓘ Modulation Index [μ]			+10% -10%

✖Minimum Amplitude Of AM Wave is the minimum amount of displacement of a particle on the medium from its rest position.ⓘ Minimum Amplitude [A_min]

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Formula

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Minimum Amplitude

Formula

A min = A c \cdot (1 - μ^{2})

Example

14.7968 V = 17 V \cdot (1 - {0.36}^{2})

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Minimum Amplitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2)
A_min = A_c*(1-μ^2)
This formula uses 3 Variables

Variables Used

Minimum Amplitude of AM Wave - (Measured in Volt) - Minimum Amplitude Of AM Wave is the minimum amount of displacement of a particle on the medium from its rest position.
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.
Modulation Index - Modulation Index states the level of modulation that a carrier wave undergoes.

STEP 1: Convert Input(s) to Base Unit

Amplitude of Carrier Signal: 17 Volt --> 17 Volt No Conversion Required
Modulation Index: 0.36 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_min = A_c*(1-μ^2) --> 17*(1-0.36^2)

Evaluating ... ...

A_min = 14.7968

STEP 3: Convert Result to Output's Unit

14.7968 Volt --> No Conversion Required

FINAL ANSWER

14.7968 Volt <-- Minimum Amplitude of AM Wave

(Calculation completed in 00.004 seconds)

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National Institute of Information Technology (NIIT), Neemrana

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< Fundamentals of Analog Communications Calculators

Intermediate Frequency

Go Intermediate Frequency = (Local Oscillation Frequency-Received Signal Frequency)

Transmission Efficiency with respect to Modulation Index

Go Transmission Efficiency of AM Wave = Modulation Index^2/(2+Modulation Index^2)

Image Frequency

Go Image Frequency = Received Signal Frequency+(2*Intermediate Frequency)

Crest Factor

Go Crest Factor = Peak Value of Signal/RMS Value of Signal

Minimum Amplitude Formula

Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2)
A_min = A_c*(1-μ^2)

How minimum amplitude can be determined?

Minimum amplitude can be determined if the amplitude of carrier signal and the modulation index is given to us. It is expressed as:
Minimum amplitude, Amin= Ac;(1-μ)
where, Ac;= amplitude of carrier signal
and μ= modulation index

How to Calculate Minimum Amplitude?

Minimum Amplitude calculator uses Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2) to calculate the Minimum Amplitude of AM Wave, Minimum amplitude is the least amplitude of the modulating wave. It is the minimum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. Minimum Amplitude of AM Wave is denoted by A_min symbol.

How to calculate Minimum Amplitude using this online calculator? To use this online calculator for Minimum Amplitude, enter Amplitude of Carrier Signal (A_c) & Modulation Index (μ) and hit the calculate button. Here is how the Minimum Amplitude calculation can be explained with given input values -> 14.7968 = 17*(1-0.36^2).

FAQ

What is Minimum Amplitude?

Minimum amplitude is the least amplitude of the modulating wave. It is the minimum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position and is represented as A_min = A_c*(1-μ^2) or Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2). 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 & Modulation Index states the level of modulation that a carrier wave undergoes.

How to calculate Minimum Amplitude?

Minimum amplitude is the least amplitude of the modulating wave. It is the minimum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position is calculated using Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2). To calculate Minimum Amplitude, you need Amplitude of Carrier Signal (A_c) & Modulation Index (μ). With our tool, you need to enter the respective value for Amplitude of Carrier Signal & Modulation Index 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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