Realization of FIR Hilbert Transformers as Taylor Structures

Abstract

Design of maximally flat Hilbert Transformers is proposed. Taylor configuration is suggested to realize a linear phase FIR digital filter. This approach is comparatively simpler than the other known ones. Four relations (two recursive and two explicit) for computation of weights required in the design are derived. The paper also brings out relation between digital Hilbert Transformers and digital differentiators as well as with digital notch filters. Applications of the suggested design are also given.

Indexing terms:

• Digital filters
• Hilbert transformers

Additional information

Notes on contributors

B Kumar

Balbir Kumar, received his BA (Hons) degree in mathematics and the BSc Engg (Hons) degree in electrical engineering in 1959 and 1963, respectively, and the MTech (Distinction) in radar engineering in 1972, from the Indian Institute of Technology (IIT), Delhi. He completed his PhD from IIT Delhi in 1988.

In May 1988, he joined Netaji Subhas Institute of Technology (formerly, DIT) in the Department of Electronics and Communication Engineering and bacame a professor in that department in May 1990. From 1993–1996, he was the Dean, Undergraduate Studies as well as Head of the Electronics and Communications Engineering Department. He was Director, DIT from September, 1996 to February, 1997. Presently, he is Head of the Department of Computer Engineering and the Dean of Undergraduate Studies.

His area of interest is analog and digital signal processing, communication, radar and sonar engineering. Prof Kumar has published more than four dozen technical papers in national and international journals of repute. He has also contributed a chapter in the Handbook of Signal Processing and Its Applications (Amsterdam: Elsevier, 1993). He has won several awards and has a patent to his credit.

G Gabrani

G Gabrani, was born in. 1963. She completed her BE (Electronics and Communication Engg), ME (Electronics and Communication Engg.) in the years 1984 and 1990, respectively. She worked with W Hindustan Computers Ltd., as Asst. Hardware Engineer for a year before she joined Netaji Subhas Institute of Technology, Delhi in 1986 as Lecturer. Presently, she is working as Asst. Professor in Computer Engg Department of Delhi College of Engineering. She has published/presented a few papers in national and international journals/conferences. She is also a member of Institution of Electronics and Telecommunication Engineers.