Recent developments in multidimensional multirate systems

Author

Chen, Tsuhan ; Vaidyanathan, P.P.

Author_Institution

Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA

Volume

3

Issue

2

fYear

1993

fDate

4/1/1993 12:00:00 AM

Firstpage

116

Lastpage

137

Abstract

The authors review the fundamentals of multidimensional (M-D) multirate signal processing and present recent and new developments in M-D multirate systems. A method is presented for deriving all parallelepiped-shaped filters in M-D multirate applications from an appropriate 1-D filter. It is shown that the generalized-pseudocirculant property is necessary and sufficient for an M-D maximally decimated filter-bank system to be free from aliasing. It is shown how the Smith form, Smith-McMillan form, and the least common multiples of integer matrices can resolve many nonseparable M-D multirate problems. The condition for alias-free decimation and the multistage design of decimation systems are mentioned

Keywords

filtering and prediction theory; multidimensional digital filters; signal processing; 1-D filter; M-D maximally decimated filter-bank system; Smith form; Smith-McMillan form; decimation systems; generalized-pseudocirculant property; integer matrices; least common multiples; multidimensional multirate systems; multirate signal processing; multistage design; nonseparable M-D multirate problems; parallelepiped-shaped filters; Digital filters; Discrete wavelet transforms; Filter bank; HDTV; High definition video; Image coding; Matrix decomposition; Multidimensional systems; Sampling methods; Video compression;

fLanguage

English

Journal_Title

Circuits and Systems for Video Technology, IEEE Transactions on

Publisher

ieee

ISSN

1051-8215

Type

jour

DOI

10.1109/76.212718

Filename

212718