Particulate matter detection and method for operating a particulate matter sensor

A method of detecting particulate matter on a particulate matter sensor includes the steps of measuring an electrical characteristic associated with the sensor, determining a value corresponding to the impedance across the sensor, and compensating the impedance for the temperature at which it was determined. The method further includes determining an estimate of the total amount of particulate matter accumulated while limiting the effects of large particles captured on the sensor or blown off the sensor. The information produced by the method may be used to provide diagnostic information regarding a particulate control system.