An important method to observe stratospheric winds is to invert the Doppler frequency shift of fine spectra with a Michelson interferometer using an O3 radiation probe source in the 8.823-μm waveband. Therefore, the spectral characteristics of O3 limb radiation were analyzed to determine the best target spectral line. The target spectral line was extracted via the combined filtering of a three-level infrared Fabry-Perot etalon. The four-step interferometric images were obtained during daytime and nighttime limb-viewing with the established numerical model of the Michelson interferometer. Via an error analysis, the result was validated to ensure that, in the range of 15-45 km, the measurement errors of the wind in the line of sight are within a range of 1-2 m/s for both daytime and nighttime observations. Consequently, the stratospheric winds can be detected globally and round the clock using a Michelson interferometer with O3 radiation as the probe source.