Signal representation for compression and noise reduction through frame-based wavelets

Author

Rebollo-Neira, Laura ; Constantinides, Anthony G. ; Stathaki, Tania

Author_Institution

Dept. of Electr. Eng., Imperial Coll. of Sci., Technol. & Med., London, UK

Volume

46

Issue

3

fYear

1998

fDate

3/1/1998 12:00:00 AM

Firstpage

587

Lastpage

597

Abstract

A mathematical framework for data representation and for noise reduction is presented in this paper. The basis of the approach lies in the use of wavelets derived from the general theory of frames to construct a subspace capable of representing the original signal excluding the noise. The representation subspace is shown to be efficient in signal modeling and noise reduction, but it may be accompanied by an ill-conditioned inverse problem. This is further examined, and a more adequate orthonormal representation for the generated subspace is proposed with an improvement in compression performance

Keywords

data compression; interference suppression; inverse problems; noise; signal representation; wavelet transforms; data representation; frame-based wavelets; general theory of frames; ill-conditioned inverse problem; noise reduction; orthonormal representation; representation subspace; signal modeling; subspace; wavelets; Data compression; Discrete wavelet transforms; Frequency domain analysis; Helium; Hilbert space; Inverse problems; Noise reduction; Prototypes; Signal representations; Wavelet domain;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.661327

Filename

661327