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is full wave rectifier a linear system ?

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desperado1

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is full wave rectifier is a linear system

A full wave rectifier can be modelled as y= mod (x) where, x is the input. Is this system a linear system ?
 

full wave rectifier, linear

A rectifier is not a linear system , check following topic.




Regards
 

full wave rectifier, linear

thanks hanif...............but i couldn't get a solid answer regarding why it's not a linear system........can u elaborate it please.....
 

A linear system has two properties: scaling (f(Ax)=Af(x)) and superposition (f(Ax+By)=Af(x)+Bf(y)). Try to test the second property, when x is a sinewave and y is a constant positive level offset. In a linear system you would obtain the same half-period waveform, but shifted above zero. In rectifier the output will be different from that. Anyway, it's not the strict proof. Someone, plz, correct me if i'm wrong
 

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