Persecution complex is more of a popular phrase, not a clinical entity. It refers to the feeling and belief that others are out to get you or hurt you. There are various degrees. Sometimes it is an exaggeration of a real situation and at other times it is totally ungrounded in reality, a product of the person's inner life projection onto the world . That is when it is called paranoia.
Just as the Doctor say`s.
Therefore colloquially it would fall into the Realm of Paranoia,BUT is not officially recognised as a separate defineable disease state in the DSM 4th ed(Phych`s Bible)
Pop culture,Freudian Terminology.