1. A device for diagnosing operation of an industrial process control or monitoring system, comprising: an input configured to receive an input related to a process signal; a first statistical parameter module configured to provide a first statistical parameter output related to a statistical parameter of the process signal; a filter configured to provide a filter output related to a filtered value of the process signal; a second statistical parameter module configured to provide a second statistical parameter output related to a statistical parameter of the filter output; and a diagnostic module configured diagnose operation of the industrial process based upon the first and the second statistical parameters.