Estimation of timing error and frequency offset for M-DPSK and FSK

A new universal algorithm based on the criterion of MMSE is presented to estimate timing error and frequency offset for most signals of digital phase-related modulation schemes such as M-DPSK, MSK and FSK. It can easily deal with signals with different modulation schemes and data rates by only setting a few input arguments of the versatile software modules. The algorithm consumes far less operating resources than the traditional methods and the average processing capacity of the algorithm is about 40 instructions per symbol. It is applied to process signals with high data rate in software radios.