# Differential amplifier and random signals

I would like to ask if I can amplify a random signal (picture 1 right hand) with a differential amplifier(picture 1 left hand) and how this will work.I know how the differential amplifier will work with sinusoidal signal but I have no idea with a random signal.Can someone help me?

Example of simulation result when input signals is sinusoidal and when input signals is random

• Try reducing your "random signal" amplitude variation to something much smaller (like your linear "sinusoidal signal" amplitude). For small signals, your amplifier appears linear. – glen_geek Aug 18 '17 at 19:40
• Sinusoidal signals are used in datasheets because they demonstrate the operation of the device, and we all know what they should look like. The use of sinusoidal signals in datasheets does not imply that an amplifier is only capable of handling sinusoidal signals. – Peter Bennett Aug 18 '17 at 19:44
• Also, any signal (random noise included) can be described as a sum of many sine waves all with different frequencies, amplitude and phase. Look up Fourier transformation to learn more. So the response to a random signal can be derived if you know the response to sinusoidal signals and the frequency response of the circuit. – Bimpelrekkie Aug 18 '17 at 21:20
• @Bimpelrekkie: what you wrote is only true for linear systems (i.e. such systems that satisfy $af(x) + bf (y) = f(ax + by)$). First you have to make sure that this is the case here (see also glen_geeks comment). – Curd Aug 19 '17 at 8:26
• Thank you so much glen_geek your comment was so useful!You are right!Also, Peter Bennett this is true you are right! – gr1 Aug 19 '17 at 9:41