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filter (n.)

early 15c., "piece of felt through which liquid is strained," from Old French feutre "felt, felt hat, carpet" (Modern French filtre) and directly from Medieval Latin filtrum "felt" (used to strain impurities from liquid), from West Germanic *filtiz (from PIE root *pel- (5) "to thrust, strike, drive"). Figurative use from c. 1600. As a pad of absorbent material attached to a cigarette, from 1908.

filter (v.)

1570s (transitive), from French filtrer or from Medieval Latin filtrare, from filtrum "felt" (see filter (n.)). The figurative sense is from 1830. Intransitive use from 1798. Related: Filtered; filtering.

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Definitions of filter
1
filter (v.)
remove by passing through a filter;
filter out the impurities
Synonyms: filtrate / strain / separate out / filter out
filter (v.)
pass through;
Synonyms: percolate / sink in / permeate
filter (v.)
run or flow slowly, as in drops or in an unsteady stream;
Synonyms: trickle / dribble
2
filter (n.)
device that removes something from whatever passes through it;
filter (n.)
an electrical device that alters the frequency spectrum of signals passing through it;
From wordnet.princeton.edu