To know the difference between capacitor and non capacitor
rectifiers one must study what is the function of filter part.the
filter part consists of capacitors or inductors or combination of
both.
the output of a simple diode rectifier is pulsating dc which
means it consists of both dc part and ac part. filters are used to
remove the ac part from such an output.
capacitor filter means that a capacitor is used for filtering
out the ac part.
non capacitor or inductor filter means that an inductor is used
for filtering out the ac part.
There is another type called pii filter where both inductor and
capacitor are used.
Pii filter is the best kind of filter available