Wideband Digital Integrator and Differentiator

Abstract

Novel designs of third-order recursive wideband digital integrator and differentiator are presented. The integrator is obtained by interpolating two digital integration techniques, the Schneider-Kaneshige-Groutage (SKG) rule and the Trapezoidal rule. The differentiator is obtained by inverting the transfer function of the designed integrator after necessary modifications. The proposed integrator and differentiator approximate their ideal counterparts with absolute magnitude errors less than 0.02 and 0.14, respectively, over the entire frequency spectrum. Their performance compares favorably with existing integrators and differentiators.

Keywords:

• Digital differentiator
• Digital integrator
• Schneider-Kaneshige-Groutage integration rule
• Trapezoidal integration rule

Additional information

Notes on contributors

Maneesha Gupta

Maneesha Gupta received B.E. and M.E. in Electronics & Communication Engineering from Government Engineering College, Jabalpur in 1981 and 1983 respectively and Ph.D. in Electronics Engineering from Indian Institute of Technology, Delhi in 1990. She is currently working as Professor in Electronics & Communication Engineering Department of Netaji Subhas Institute of Technology, New Delhi since 2000. Her teaching and research interests are Switched Capacitors Circuits and Analog Signal processing. She has co-authored over 20 research papers in the above areas in various international/national journals and conferences. E-mail: [email protected]

Madhu Jain

Madhu Jain received B.E. degree in Electronics and Communication Engineering with Honours, topping from University of Rajasthan in 2003. She obtained P.G diploma in Embedded System Design from University of Pune in 2004 and M. Tech. in Signal Processing from Netaji Subhas Institute of Technology, New Delhi in 2009. She is pursuing Ph. D. in IIT Delhi and currently working as Sr. Lecturer in Electronics & Communication Engineering Department of Jaypee Institute of Information Technology, Noida since January 2012. Her teaching and research interests are Digital Signal Processing, Signal System, Circuit System and Embedded System. She has co-authored 6 research papers in the above areas in various international journals and conferences. E-mail: [email protected]

B. Kumar

B. Kumar received his B.A. (Hons.) from Punjab University in 1959. He obtained his B.Sc. Engg. (Hons.) from Punjab Engineering College, Chandigarh in 1963. He obtained M.Tech. (Radar Engg.) and Ph.D in 1972 and 1988, respectively from IIT Delhi. He worked as the director of Netaji Subhas Institute of Technology, Guru Premsukh Memorial College of Engineering, and HMR. He was with Maharaja Surajmal Institute of Technology from 2006–2009. He is currently working as Addl. Director in Bhagwan Parshuram Institute of Technology, Delhi since 2009. His area of interest is Microelectronics, Signals & Systems, Digital Signal Processing, Communication, and Radar Engineering. Prof. Kumar has published more than seventy technical papers in national and international journals of repute. Two students have been awarded Ph.D. degree under his guidance, and two more are pursuing Ph.D. under his guidance. E-mail: [email protected]