On asymmetrical performance of discrete cosine transform

Author

Akansu, Ali N. ; Haddad, Richard A.

Author_Institution

Dept. of Electr. & Comput. Eng., New Jersey Inst. of Technol., Newark, NJ, USA

Volume

38

Issue

1

fYear

1990

fDate

1/1/1990 12:00:00 AM

Firstpage

154

Lastpage

156

Abstract

The discrete cosine transform (DCT) is considered as a suboptimum transform for many practical source-coding applications. Autoregressive order 1 [AR(1)] source models are good first approximations to several natural signals. It is known that the performance of the DCT depends on the sign of the autocorrelation coefficient of the AR(1) source. The authors explain theoretically this asymmetrical performance of the DCT as well as the behavior of the modified Hermite transform (MHT) and the discrete Hadamard transform (DHT), which perform symmetrically regardless of the sign of the autocorrelation coefficient

Keywords

correlation methods; encoding; signal processing; DCT; asymmetrical performance; autocorrelation coefficient; autoregressive order AR1 source model; discrete Hadamard transform; discrete cosine transform; first approximations; modified Hermite transform; natural signals; signal processing; source-coding applications; Acoustic signal processing; Autocorrelation; Discrete cosine transforms; Discrete transforms; Equations; Performance gain; Phase change materials; Source coding; Speech; Transform coding;

fLanguage

English

Journal_Title

Acoustics, Speech and Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

0096-3518

Type

jour

DOI

10.1109/29.45628

Filename

45628