Digital Method for Determining the Initial Phase of a Harmonic Signal at a Sampling Frequency Less Than the Nyquist Frequency

Abstract

A digital method is proposed for determining the initial phase of a harmonic signal at a sampling frequency less than the Nyquist frequency. The method includes sampling and quantizing the original signal using two analog-to-digital converters. The converters operate at two different frequencies less than the Nyquist frequency. The digital method for determining the initial phase of the harmonic signal is implemented in software in the MATLAB environment and in hardware on the Xilinx ZYNQ-7000 SoC platform. This method allows one to determine the initial phase of the harmonic signal from samples made at a frequency less than ten times the Nyquist frequency.