Title :
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
fDate :
12/1/2000 12:00:00 AM
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;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
