New optimizations for carrier synchronization in single carrier systems

Single carrier digital communication systems such as M-PSK and M-QAM require the use of carrier synchronization in frequency and phase. In this paper, we present new optimizations that simplify the core operations involved in the synchronization process, namely the implementation of the numerically controlled oscillator (NCO) and the phase detector. These mathematical optimizations are generic in nature and can be applied to various DSP implementations such as fixed-point and floating-point implementations. One of the benefits of these optimizations is that look up tables for calculating typical trigonometry functions such as the complex exponential and arc tangent are not required. Results of some example implementations on the Texas Instruments fixed point DSP TMS320VC54x and the Analog Devices floating point DSP SHARC2106x are reported in the results section of this paper.