Design and application of discrete-time fractional Hilbert transformer

Author

Tseng, Chien-Cheng ; Pei, Soo-Chang

Author_Institution

Dept. of Comput. & Commun. Eng., Nat. Kaohsiung Inst. of Technol., Taiwan

Volume

47

Issue

12

fYear

2000

fDate

12/1/2000 12:00:00 AM

Firstpage

1529

Lastpage

1533

Abstract

In this paper, the design problems and applications of the fractional Hilbert transformer (FHT) are investigated. First, the conventional Hilbert transformer is generalized to FHT. Its corresponding analytic signal is also defined to construct a single-sideband (SSB) signal for saving communication bandwidth. Then, several methods are presented to design finite and infinite impulse response FHTs including the Hilbert transformer-based method, all-pass filter-based method, optimization methods, etc. Next, we propose a secure SSB communication in which the fractional order of FHT is used as a secret key for demodulation. Finally, the two-dimensional FHT is used to detect edges or corners of digital images

Keywords

Hilbert transforms; all-pass filters; digital filters; discrete transforms; edge detection; filtering theory; image processing; signal processing; telecommunication security; SSB signal; all-pass filter-based method; communication bandwidth; corner detection; demodulation; digital images; discrete-time fractional Hilbert transform; edge detection; finite impulse response FHT; infinite impulse response FHT; optimization methods; secret key; secure SSB communication; single-sideband signal; two-dimensional FHT; Amplitude modulation; Bandwidth; Discrete transforms; Finite impulse response filter; Fourier transforms; Frequency; IIR filters; Image edge detection; Phase transformers; Signal analysis;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.899647

Filename

899647