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, /spl Delta/f/sub d//spl times/T/sub s/, are less than 1/2N/sub s/ and 1/N/sub s/ which are comparable to conventional algorithms (f/sub d/ is the frequency offset, T/sub s/ is the symbol period, N/sub s/ is the burst length). The proposed LJEAs require only 2N/sub s/ or 4N/sub 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.