The Digital Costas Loop (DCL) performs many of the baseband processing tasks required for the demodulation of BPSK, QPSK, 8-PSK, OQPSK, FSK, AM and FM waveforms. These tasks include matched filtering, carrier tracking, symbol synchronization, AGC, and soft decision slicing. The DCL is designed for use with the HSP50110 Digital Quadrature Tuner to provide a two chip solution for digital down conversion and demodulation.