We present a technique to measure the frequency chirp introduced by the laser pulse amplification process in the transmitter of the Colorado State University sodium lidar system. This chirp causes a systematic radial wind bias that must be removed from the reported wind measurements. An iodine absorption line located near the lidar operating wavelength of 589.16 nm is used for real-time monitoring and measurement of the chirp for the correction of radial wind bias. This technique has been thoroughly characterized in the laboratory and validated by field testing, facilitating simultaneous measurements of temperature and horizontal wind in the mesopause region of the atmosphere (80-105 km).