Low-complexity joint estimation of frequency offset and carrier phase for M-ary PSK

We investigate the design of three low-complexity joint estimation algorithms (LJEAs) for frequency offset and carrier phase. The principles of the proposed LJEAs are based on the linear interpolation of correlation values in the main-lobe of the frequency and phase spectra of the received signal. With these algorithms, the estimation ranges, Δf_d×T_s, are less than 1/2N_s and 1/N_s which are comparable to conventional algorithms (f_d is the frequency offset, T_s is the symbol period, N_s is the burst length). The proposed LJEAs require only 2N_s or 4N_s complex multiplications which are very simple compared with conventional algorithms. Nevertheless the estimation accuracies of the LJEAs are as good as those of the conventional algorithms.