The effects of signal-to-noise ratio (S_NR) and correlation coefficient (ρ_hv) on polarization parameters and characteristics of short-range dual-polarization parameters are analyzed based on the stratiform precipitation data observed by the S-band dual-linear polarization Doppler radar in Jining. The correction results of the differential reflectivity (Z_DR) for light rain and dry snow are analyzed by using the stratiform precipitation data of the highest scanning elevation of radar. The results are listed as follows. (1) When SNR is less than 21 dB, the mean values and standard deviations of Z_DR, ρhv, and ΔΦ_DP fluctuate obviously with the change of SNR, Z_DR, ρhv, and differential propagation phase (Φ_DP) are unstable, and the data quality is poor. When SNR is higher than 21 dB, Z_DR, ρhv, and Φ_DP are reliable, and with the increase of SNR, the stability of Z_DR, ρhv, and Φ_DP data becomes better and better. (2) When SNR is higher than 21 dB and ρhv is less than 0.965, the mean value and standard deviation of ΔΦ_DP fluctuate sharply with the change of ρhv; when S_NR is higher than 21 dB and ρhv is higher than 0.965, the greater the ρhv, the more stable the (Φ_DP) (3) Due to the interference of ground noise, ground objects in short range, and antenna sidelobe, the polarization parameters in short range of 0-15 km are unstable and the data quality is poor. Therefore, data with low elevation in short range should be noticed in business applications. (4) By using light rain and dry snow as two natural objects to calibrate the systematic errors of Z_DR, it is found that the mean value and standard deviation of Z_DR errors of light rain particles are much smaller than those of dry snow particles, and the correction curve of Z_DR errors of light rain particles is more stable than that of dry snow particles. Compared with dry snow particles, the correction effect of Z_DR errors of light rain particles is more stable. The Z_DR values of precipitation particles after systematic error correction are more reasonable.