Wigner distribution (WD) has recently attracted attention as a powerful tool for time‐varying signals analysis and several applications have been proposed. WD is calculated as the Fourier spectra of a signal with special preprocessing. The preprocessing allows the frequency resolution to be better than that of Fourier transform (FT). However, this preprocessing causes WD to generate interference terms and more complicated aliasing compared to FT. To cope with these problems, WD is usually calculated using analytic signals. In one‐dimension, the method of deriving analytic signal is unique. However, in two‐dimensions (2‐D), several methods have been proposed. This paper presents the reason for 2D‐WD to generate aliasing and interference for negative frequency components and its solution. Based on the discussion, a new analytic signal for 2D‐WD is proposed together with a method of new spectral analysis using the signal. The proposed method offers higher frequency resolution and no interference term for negative frequency components, as well as no aliasing, providing characteristics similar to WD. By using this method, spectral analysis for low frequencies can be realized with small‐sized windows. Copyright © 1992 Wiley Periodicals, Inc., A Wiley Company