A terminal unit apparatus for a time division multiplexing access radio communications system formed of a base station and a number of terminal units remote from the base station, includes a 2-dimensional adaptive equalizer circuit for equalizing two quadrature-relationship baseband signals which are obtained from a received quadrature digital modulation signal during receiving operation of the terminal unit, and an internal signal source which generates a local oscillator signal for use in demodulating a received signal to obtain these baseband signals. A frequency correction quantity is derived from the average rate of variation in each symbol interval of the ratio of the two main tap coefficients of the 2-dimensional adaptive equalizer circuit, and used to correct the frequency of operation of the internal signal source during both receiving operation and also in transmitting operation, in which the internal signal source provides a carrier signal for modulation. Frequency correction can thereby be achieved that is independent of the effects of multi-path interference to the transmission path upon the received quadrature digital modulation signal.