"Complex Matched Filter"
A matched filter is matched to the received pulse shape. If the matched filter is implemented in the baseband, i.e., after down-conversion, the received pulse shape can be complex-valued, e.g., if the channel frequency response is not symmetric with respect to the carrier frequency. In that case the matched filter is a complex-valued low-pass filter matched to the received (complex low-pass) pulse shape. The frequency response of such a filter is centered around DC but it is not symmetric with respect to DC.