Title :
Design of discrete-time fractional Hilbert transformer
Author :
Tseng, Chien-Cheng ; Soo-Chang Pei
Author_Institution :
Dept. of Comput. & Commun. Eng., Nat. Kaohsiung First Univ. of Technol. & Sci., Taiwan
Abstract :
In this paper, the design problems of the fractional Hilbert transformer (FHT) are investigated. First, the conventional Hilbert transformer is generalized to FHT and its corresponding analytic signal is also defined to construct a single side-band (SSB) signal for saving communication bandwidth. Then, several methods are presented to design FIR and IIR fractional Hilbert transformers including a Hilbert transformer based method and an allpass filter based method. Finally, several design examples are presented to demonstrate the effectiveness of the proposed methods
Keywords :
FIR filters; Hilbert transforms; IIR filters; all-pass filters; digital filters; discrete transforms; filtering theory; FHT; FIR fractional Hilbert transformers; Hilbert transformer based method; IIR fractional Hilbert transformers; SSB signal; allpass filter based method; design problems; discrete-time fractional Hilbert transformer; single side-band signal; Amplitude modulation; Bandwidth; Design engineering; Discrete transforms; Finite impulse response filter; Fourier transforms; Frequency; IIR filters; Phase transformers; Signal analysis;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.857487
