A new transform with symmetrical coding performance for Markov (1) signals

Author

Zou, Feng ; Gallagher, Richard R.

Author_Institution

Dept. of Electr. & Comput. Eng., Kansas State Univ., Manhattan, KS, USA

Volume

43

Issue

9

fYear

1995

fDate

9/1/1995 12:00:00 AM

Firstpage

2195

Lastpage

2198

Abstract

Based on the DCT and DST-II, we present a new transform that provides a symmetrical performance for positively and negatively correlated Markov (1) signals (first-order stationary Markov process). A fast computational algorithm is presented. A sufficient condition of symmetrical transforms is also provided, and the idea of constructing the discrete cosine-sine transform (DCST) is then generalized to the Karhunen-Loeve transform (KLT) of any Markov (1) signal

Keywords

Markov processes; correlation methods; discrete cosine transforms; signal reconstruction; transform coding; DCST; DCT; DST-II; KLT; Karhunen-Loeve transform; discrete cosine-sine transform; fast computational algorithm; first-order stationary Markov process; negatively correlated Markov signals; positively correlated Markov signals; signal reconstruction; sufficient condition; symmetrical coding performance; symmetrical transforms; Autocorrelation; Availability; Discrete cosine transforms; Discrete transforms; Frequency; Karhunen-Loeve transforms; Markov processes; Mean square error methods; Performance evaluation; Sufficient conditions;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.414784

Filename

414784