Wigner distribution representation of digital images

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.

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A method of two‐dimensional spectral analysis using the wigner distribution

Suzuki

Kobayashi

1992

Electron Comm Jpn Pt III

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Computation of the Wigner distribution function by the Hartley transform. Application to image restoration

Berriel‐Valdos

Gonzalo

Bescós

1988

Optics Communications

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Real-time generation of the Wigner distribution function by means of a single acousto-optic modulator

Widjaja

Uozumi

Ushizaka

et al. 1992

Optics Communications

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Wigner distribution representation of digital images

Cited by 22 publications

References 9 publications

A method of two‐dimensional spectral analysis using the wigner distribution

A method of two‐dimensional spectral analysis using the wigner distribution

Computation of the Wigner distribution function by the Hartley transform. Application to image restoration

Real-time generation of the Wigner distribution function by means of a single acousto-optic modulator

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