difference between half wave and full wave with respect to filter theory

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Differentiate between half wave and full wave with respective filter theory? 

According to filter theory, the filter convert pulsating direct current into pure current. The working of the full wave  rectifier and half wave rectifier is almost similar with the filter. Since both rectifier use filter to decrease the ripple DC. But the only difference is that in the half rectifier only one half cycle other positive or negative of the input AC current will change the capacitor , but the remaining half cycle will not charge the capacitor. 
In the full wave rectifier both positive and negative half cycles of input AC current will charge the capacitor

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