This document outlines a procedure for detecting misalignment between internal combustion engines and gas compressors using FFT (Fast Fourier Transform). The procedure models the engine and compressor shafts as points rotating around a central coupling circle. Vibration measurements at the shafts in the 1X and 2X rotational frequencies are analyzed to determine if they align, indicating proper alignment, or are misaligned. If misaligned, excessive wear on bearings can occur over the operating life. The procedure is applied using vibration data collected from an engine and compressor package in the field. Analysis of the 1X and 2X data plots a line showing the shaft alignment profile matches a later technical report finding actual misalignment between the engine and compressor.