Universal Weights for Maximally-Flat FIR Approximations of Amplitude Response: [1/ω]

Abstract

An efficient design of linear phase, FIR structure for amplitude response, approximating [1/ω] (an integrating Hilbert transformer), suitable for the midband frequency range has been proposed. Mathematical formulas for computation of weights have been derived. These weights turn out to be invariant to the order of the filter, and are, therefore, universal in nature. This property is expoited to harness the proposed design with facility of variable orders of the sturcture maintaining the optimality criteria for all possible orders. A versatile structure for such a purpose has also been given.

Indexing terms:

• FIR filters
• Approximations
• Universal weights
• Integrates

Additional information

Notes on contributors

Balbir 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 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 became 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 solar 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.

Ashwani Kumar

Ashwani Kumar was born in 1969 at Delhi. He completed his (Hons) and ME in Electronics and Communication Engineering from Delhi University in 1991 and 1993, respectively.

He was awarded the PhD Degree in 1999 in Digital Signal Processing from Delhi University. He is also working in/Centre for Development of Telematics (C-DOT) as a Senior Program Manager since October 1991. His areas of interest includes analog and digital signal processing, digital communication, optical fibres and photonic switching.

D Roy Choudhury

D Roy Choudhury was born in Calcutta, India in 1946. He received MTech degree from the Institute of Radio-physics and Electronics, Calcutta in 1966 and PhD in control systems from the same institute, Calcutta University in 1971.

From 1971 to 1973 he was working as Research Assistant in the Institute de Reglage Automatique, Ecole Polytechnic Federal de Laussanne, Switzerland. Since 1974 he has been in the faculty of Delhi College of Engineering, Delhi where he is presently a professor in Computer Engineering Department. He is also a professor in the Department of Electronics and Communication Engineering, Faculty of Technology, University of Delhi where presently he is chairing the department. His research interest includes control system. Fuzzy and Neural networks, Petri net.

He is author of the book ‘Networks and Systems’ and co-author of the book ‘Linear Integrated Circuits’ both from Wiley Eastern India Ltd, New Delhi in 1988 and 1991 respectively.