How Do You Calculate Gain in Sinusoidal Signals?

Thread starter php
Start date Jan 9, 2009
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Gain Signals Sinusoidal

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To calculate gain in sinusoidal signals, the output voltage (Vout) is divided by the input voltage (Vin), using either peak or peak-to-peak values. The gain can be expressed in decibels (dB) with the formula 20dB*log(Vout/Vin). Both peak-to-peak and RMS values yield the same gain ratio for sinusoidal signals, as they are related by a factor of 1/sqrt2. Understanding these calculations is essential for analyzing signal amplification. More specific questions can lead to deeper insights into gain calculations.

Jan 9, 2009

php

how does one calculate a gain in signal e.g sine wave. do we take peak-to-peak (or peak) of the output divided by peak-to-peak(or peak) of the input?

Last edited: Jan 9, 2009

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Jan 10, 2009

Fantasmagoria

The ratio of the peak-to-peak voltages and RMS will be the same (both are related by the same factor of 1/sqrt2 if the signal is sinusoidal).
Gain is defined as 20dB*log(Vout/Vin)
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