Title :
Analytical design of digital nonrecursive maximally flat fractional Hilbert transformer
Author :
Pei, Sou-Chang ; Wang, Peng-Hua
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
Abstract :
Recently, a generalization of the Hilbert transformer, the fractional Hilbert transformer, was defined and developed. In this paper, we propose a design of the FIR filter to realize the fractional Hilbert transformer based on the maximally flat approach. The impulse response is obtained explicitly. An efficient realization structure is constructed according to some properties of the impulse response
Keywords :
FIR filters; Hilbert transforms; digital filters; filtering theory; frequency response; signal processing; transient response; FIR filter; analytical design; digital nonrecursive Hilbert transformer; impulse response; maximally flat fractional Hilbert transformer; Bandwidth; Design methodology; Equations; Finite impulse response filter; Fourier transforms; Frequency response; IIR filters; Image edge detection; Signal processing; Transfer functions;
Conference_Titel :
Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-5471-0
DOI :
10.1109/ISCAS.1999.778813