Optimal biorthogonal analysis window function for discrete Gabor transform

Author

Qian, Shie ; Chen, Dapang

Author_Institution

DSP Group, Nat. Instrum. Corp., Austin, TX, USA

Volume

42

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

694

Lastpage

697

Abstract

Like the DFT-a discrete version of the Fourier transform-the recently developed discrete Gabor transform (DGT) provides a feasible vehicle to implement the very useful Gabor expansion. In general, the choice of the biorthogonal window function γ(i) is not unique. The authors discuss the solution of γ(i) that is optimally close to an arbitrary desired function d(i) when the synthesis window h(i) and sampling pattern are given. For d(i)=h(i), the resulting γ_opt(i) directly leads to so-called orthogonal-like DGT. Combining the DGT, they believe that the result presented in this paper is rather significant for digital signal processing

Keywords

signal processing; transforms; DGT; Gabor expansion; biorthogonal analysis window function; digital signal processing; discrete Gabor transform; optimal biorthogonal function; sampling pattern; signal representation; synthesis window; Digital signal processing; Discrete Fourier transforms; Discrete transforms; Fourier transforms; Frequency domain analysis; Prototypes; Signal processing algorithms; Signal sampling; Signal synthesis; Vehicles;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.277869

Filename

277869