The design of carrier phase and timing recovery methods for data transmission by means of simulation is described. Results are given for a partial response class 4 data signal transmitted by single-sideband amplitude modulation.

For the equalization of linearly distorted partial response signals a new equalizer adjustment algorithm is described, which combines fast convergence, ease of implementation, and the possibility of using the same adjustment method during start-up and subsequent transmission.

Considering the recovery of carrier phase and timing for optimum detection of a single-sideband data signal, a relation is derived for simultaneous optimum setting of these parameters. To find the optimum settings, it is shown that the mean-square error (MSE) of the demodulated signal, defined as the sum of the squared deviations of the received signal from the nearest possible level of an undistorted signal, is a useful measure of carrier phase and timing errors only near the optimum settings, so that a rough estimate of both carrier phase and timing must be available at the receiver.