### Dr. Raghavendra Kulkarni

#### Professor

**Email ID: **raghavendrakulkarni@pes.edu

Dr. Raghavendra Kulkarni is a Professor in the Electronics and Communication Department at PES University.

**Qualification**

B.E. (ECE),

M.Tech. (EE),

Ph.D.

**Brief Profile**

Raghavendra G. Kulkarni received B.E. in Electronics and Communication Engineering from Karnatak University, M.Tech. in Electrical Engineering from IIT Madras, and Ph.D. from IIT Kharagpur. He joined Bharat Electronics Ltd., in 1982, and developed several Surface-Acoustic-Wave (SAW) filters for commercial and strategic applications.

Dr. Kulkarni is the inventor of polynomial window functions---known as Kulkarni Windows. In 2014, he joined PES University in the Department of Electronics and Communication Engineering as Distinguished Professor.

Raghavendra G. Kulkarni received B.E. in Electronics and Communication Engineering from Karnatak University in 1979, M.Tech. in Electrical Engineering from IIT Madras in 1982, and Ph.D. from IIT Kharagpur in 1998. He joined Hybrid Microcircuits (HMC) division of Bharat Electronics Ltd., (BEL) Bangalore in 1982 as Deputy Engineer and developed several Surface Acoustic Wave (SAW) devices for commercial and defence applications.

From 1998 to 2014, Dr. Kulkarni, in various capacities, successfully led a team of R & D engineers for development of SAW devices, thick-film & thin-film HMCs, and MEMS pressure transducers for strategic applications.

Dr. Kulkarni won two BEL R & D Excellence Awards, one in 1989---for development of SAW filters used in TV receivers, and one in 2011---for development of HMCs used in missile telemetry. In November 2013, he received Raksha-Mantri Award for development of electronic modules for missiles.

Dr. Kulkarni has obtained two patents on SAW devices and has authored more than fifty papers in the field of SAW devices, signal processing, and mathematics. He is the inventor of “Kulkarni windows” used in signal processing applications.

In September 2014 Dr. Kulkarni joined PES University, Bangalore, as Distinguished Professor in the Department of Electronics & Communication Engineering. He is a senior member of IEEE, life member of---Ramanujan Mathematical Society, Indian Mathematical Society, and IMAPS-India.

Dr. Kulkarni is reviewer for the scholarly journals---SIGNAL PROCESSING (Elsevier), Proceedings of NAS (Springer), PRIMUS (Taylor & Francis) and IEEE Transactions on UFFC. He has given invited talks at TIFR Mumbai, IIT Delhi, SSPL Delhi, IGCAR Kalpakkam, LRDE Bangalore, IISc Bangalore, Defence Lab Jodhpur, etc.

Guide for research scholars; Review Panel Head for M.Tech. Projects.

1. Surface Acoustic Wave (SAW) devices, 2. RF and microwave networks, 3. Electromagnetics and Antennas, 4. Signal processing, 5. Numerical methods, polynomials and polynomial transformations.

1. Electromagnetic field theory, 2. Antennas, 3. RF and microwave circuit design, 4. Applied Mathematics, and 5. Probability and Random Processes.

**Journal papers in Signal Processing / SAW devices**

1.R. G. Kulkarni, [co-authors -- V. Janardhana, S. Pamidighantam, N. Chattoraj, J. S. Roy, K. S. Reddy], “Experimental investigations on a surface micro-machined tunable low pass filter”, Progress in Electromagnetics Research Letters, Vol. 27, pp. 171 – 178, 2011.

2.R. G. Kulkarni, [co-authors -- V. Janardhana and J. S. Roy], “Analysis of surface micro-machined RF MEMS phase shifters” IEEE Aerospace and Electronic Systems Magazine, Vol. 23, No. 5, May 2008, pp. 32 – 35.

3.R. G. Kulkarni, “Comparing windows for multitone suppression,” RF Design, November 2004, pp. 24 – 30.

4.R. G. Kulkarni, "Polynomial windows with fast decaying sidelobes for narrow-band signals," Signal Processing, Vol. 83, No. 6, June 2003, pp. 1145-1149.

5.R. G. Kulkarni, "Polynomials for narrowband signal processing," IEE Proceedings- Vision, Image & Signal Processing, Vol. 149, No. 3, June 2002, pp. 159-161.

6.R. G. Kulkarni, "Sidelobe cancellation technique for achieving high rejection in SAW filters," IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 48, No. 5, September 2001, pp. 1283-1288.

7.R. G. Kulkarni, "Asymptotic behavior of cosine windows," Microwave Journal, Vol. 44, No. 10, October 2000, pp. 96-104.

8.R. G. Kulkarni and S. K. Lahiri, "Generalized truncated time functions for SAW filter synthesis," Applied Microwave & Wireless, July 2000, pp. 38 -43.

9.R. G. Kulkarni and S. K. Lahiri, "Improved sidelobe performance of cosine series functions," IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, Vol. 46, No. 2, March 1999, pp. 464-466.

10.R. G. Kulkarni and S. K. Lahiri, "Calculating SAW filter velocity errors," RF design, November 1998, pp. 22-36.

11.R. G. Kulkarni and S. K. Lahiri, "Design options for SAW IF filters used in wireless applications," Microwave Journal, Vol. 42, No. 1, January 1998, pp. 114-126.

12.R. G. Kulkarni, H. V. Ananda and S. K. Lahiri, "Examine the effects of aliasing on non-symmetric Filters," Microwaves & RF, Vol. 36, No. 8, August 1997.

13.R. G. Kulkarni, "SAW filters and their development in Bharat Electronics," Design Review, Vol. 1, December 1989, pp. 40-45.

**Journal papers in mathematics**

14.R. G. Kulkarni, “Tailored quartic roots”, The Pentagon (USA), Fall 2016.

15.R. G. Kulkarni, “How to move a root of a cubic equation to the origin”, Parabola (University of New South Wales, Australia), Vol. 52, No. 2, 2016.

16.R. G. Kulkarni, “Placing the roots of cubics using linear fractional transformation” Boletin de matematicas (Colombia), Vol. 23, No. 1, 2016, pp. 1 – 6.

17.R. G. Kulkarni, “Applying a Mobius transformation for solving quartic equations” The Mathematical Scientist (Applied Probability Trust, UK), Vol. 41, No. 1, June 2016, pp. 16 – 20.

18.R. G. Kulkarni, “Split and crack the quartic” Eureka (The Cambridge University Mathematical Society, UK), No. 64, pp. 48.

19.R. G. Kulkarni, “Picking genuine zeros of cubics in the Tschirnhaus method” The Mathematical Gazette (UK), Vol. 100, No. 547, March 2016, pp. 48 – 53.

20.R. G. Kulkarni, “Extracting a polynomial embedded in a pair of polynomials with application to an inverse problem”, Inverse Problems in Science and Engineering (UK), Vol. 23, No. 4, 2015, pp.

21.R. G. Kulkarni, “Shifting the origin for solving quartic equations”, The Mathematical Gazette (UK), Vol. 97, No. 539, July 2013, pp. 268 – 270.

22.R. G. Kulkarni, “The solution of quintic equations”, The Mathematical Gazette (UK), Vol. 97, No. 538, March 2013, pp. 120 – 122.

23.R. G. Kulkarni, “Insert a root to crack the cubic”, The Mathematical Gazette (UK), Vol. 97, No. 538, March 2013, pp. 115 – 120.

24.R. G. Kulkarni, “Solving quartic equations by division method”, Mathematical Medley (Singapore), Vol. 37, No. 2, 2011, pp. 9 – 11.

25.R. G. Kulkarni, “Decomposing cubics” Mathematics Teacher (USA), Vol. 104, No. 8, April 2011, pp. 566 – 568.

26.R. G. Kulkarni, “Factoring certain decic polynomials” Matematicas Ensenanza Universitaria (Colombia), Vol. XVIII, No. 2, December (2010), pp. 111 – 114.

27.R. G. Kulkarni, “Solving certain quintics” Annales Mathematicae et Informaticae (Hungary), Vol. 37, 2010, pp. 193 – 197.

28.R. G. Kulkarni, “Solving cubic equations by polynomial decomposition” International Journal of Mathematical Education in Science and Technology (UK), Vol. 42, Issue 1, 2011, pp. 105 – 108.

29.R. G. Kulkarni, “Decomposing quintics” Mathematics Teacher (USA), Vol. 102, No 9, May 2009, pp. 710 – 713.

30.R. G. Kulkarni, “On the solution to nonic equations” Alabama Journal of Mathematics (USA), Vol. 32, No. 1 & 2, Spring & Fall 2008, pp. 3 – 17.

31.R. G. Kulkarni, “Extraction of roots of quintics by division method” International Journal of Mathematical Education in Science and Technology (UK), Vol. 40, No. 3, 2009, pp. 407 – 410.

32.R. G. Kulkarni, “Solving sextic equations” The Atlantic Electronic Journal of Mathematics (Canada), Vol. 3, No. 1, 2008, pp. 56 – 60.

33.R. G. Kulkarni, “Solving septics in radicals” Matematicas: Ensenanza Universitaria (Colombia), Vol. 16, No. 2, December 2008, pp. 11 – 21.

34.R. G. Kulkarni, “Solving sextics by division method,” The Teaching of Mathematics (Serbia), Vol. XI, No. 2, 2008, pp. 93–96.

35.R. G. Kulkarni, “Extracting the roots of septics by polynomial decomposition” Lecturas Matematicas (Colombia), Vol. 29, No. 1, 2008, pp. 5 – 12.

36.R. G. Kulkarni, “On the extraction of roots of nonics” Osjecki Matematicki List, Vol. 8, No. 1, 2008, pp. 37 – 42.

37.R. G. Kulkarni, “On the solution to octic equations” The Montana Mathematics Enthusiast (USA), Vol. 4, No. 2, June 2007, pp. 193 – 209.

38.R. G. Kulkarni, “Solving quartics” International Journal of Mathematical Education in Science and Technology (UK), Vol. 38, No. 4, January 2007, pp. 549 – 553.

39.R. G. Kulkarni, “Unified method for solving general polynomial equations of degree less than five” Alabama Journal of Mathematics (USA), Vol. 30, No. 1 & 2, Spring & Fall 2006, pp. 1 – 18.

40.R. G. Kulkarni, “A versatile technique for solving quintic equations,” Mathematics and Computer Education (USA), Vol. 40, No. 3, Fall 2006, pp. 205 – 215.

41.R. G. Kulkarni, “General formulas for removing the second term and the third term in a polynomial equation of any degree”, The Mathematics Student, Vol. 83, Nos. 1 – 4, 2014, pp. 191 – 199.

42.R. G. Kulkarni, “Solving cubics by division method” Sutra: International Journal of Mathematical Science Education (India), Vol. 4, No. 2, 2011, pp. 27 – 29.

43.R. G. Kulkarni, “A new method for solving quartics” Sutra: International Journal of Mathematical Science Education (India), Vol. 2 No. 2, 2009, pp. 24 – 26.

C. Conference papers

44.R. G. Kulkarni, “A new method for solving quartics”, presented in RMIT-2009 (Ramanujan Rediscovered) International Conference, June 1- 5, 2009, IIIT Bangalore

45.R. G. Kulkarni, “On the solution to decic equations”, presented in 22nd Annual Conference of Ramanujan Mathematical Society, June 6 – 8, 2007, National Institute of Technology Karnataka, Surathkal.

46.R. G. Kulkarni, “Unified method to solve polynomial equations of any degree”, presented in National Conference on Mathematical Foundations of Coding, Complexity, Computation & Cryptography, July 20 – 22, 2006, Indian Institute of Science, Bangalore.

47.V. Janardhana, S. Pamidighantam, R. G. Kulkarni and J. S. Roy, “Novel microstrip distributed RF MEMS phase shifters for phased array application” presented in MEMSWAVE 2007, Barcelona, June 26 – 29, 2007.

48.R. G. Kulkarni, “Hybrid microcircuits for nuclear instrumentation”, presented in the DAE-BRNS National Symposium on Compact Nuclear Instrumentation and Radiation Detectors, March 2 – 5, 2005 (Defence Lab Jodhpur).

49.R. G. Kulkarni, Deepa Das, Vijaya Sinha and Ajay Kumar, “ Use of third harmonic in the design of narrowband SAW filter for regenerative payload of GSAT-4,” presented in IMAPS-India National Conference, November 2004.

50.R. G. Kulkarni and Deepa Das, “Novel electrode pattern for apodized IDT of SAW filter,” presented in IMAPS-India National Conference, November 2004.

51.R. G. Kulkarni, “Windows for SAW filters requiring efficient harmonic suppression,” presented in IMAPS-India National Conference, November 2004.

52.R. G. Kulkarni, “Design of SAW filters,” presented in the National Symposium on Signal Processing with SAW devices, IIT Delhi, 1986.