Mixed domain filtering of multidimensional signals

Author

Knudsen, Knud Steven ; Bruton, Leonard T.

Author_Institution

Calgary Univ., Alta., Canada

Volume

1

Issue

3

fYear

1991

fDate

9/1/1991 12:00:00 AM

Firstpage

260

Lastpage

268

Abstract

The concept of multidimensional mixed domain transform/spatiotemporal (MixeD) filtering is extended beyond the discrete Fourier transform (DFT) to include other types of discrete sinusoidal transforms, including the discrete Hartley transform (DHT) and the discrete cosine transform (DCT). Two MixeD filter examples are given, one using the two-dimensional (2-D) DHT and the other using the 2-D DCT, to selectively enhance a 3-D spatially planar (SP) pulse signal. The authors define the notation and provide a review of the MixeD filter method. MD and partial P-dimensional discrete transform operators are defined, and the design of MixeD filters is discussed. MixeD filters based on the 2-D DHT and the 2-D DCT are designed to selectively enhance a 3-D SP pulse. Experimental verification of these 3-D SP MixeD filters is described

Keywords

filtering and prediction theory; picture processing; signal processing; transforms; 3D signal; DCT; DHT; MixeD filter; discrete Hartley transform; discrete cosine transform; discrete sinusoidal transforms; mixed domain filtering; multidimensional signals; partial P-dimensional discrete transform operators; spatially planar pulse signal; spatiotemporal domain; Difference equations; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Filtering; Fourier transforms; Multidimensional systems; Nonlinear filters; Radar signal processing; Spatiotemporal phenomena;

fLanguage

English

Journal_Title

Circuits and Systems for Video Technology, IEEE Transactions on

Publisher

ieee

ISSN

1051-8215

Type

jour

DOI

10.1109/76.97988

Filename

97988