The Signals Research Laboratory is an activity taken up voluntarily by the young students, mostly B. Tech, Researchers and motivated faculty members. We focus on the mathematical aspects of Signal Theory. There are discussions and interaction with working engineers of industry to know about and work on the technical issues they face. We also offer special lectures on selected topics to students to empower them carry out innovative project works successfully. We are also preparing student monographs on selected topics.
We have been using the existing facilities of the institute that are freely accessible to the students. Thus, the Lab has been "distributed".
Biosignal processing is one of the activities of the Signals Research Laboratory jointly with the Center for Biomechanics, NITC.
India has human resources aplenty; the harmonious utilization of it can fetch growth and joy. Money is human effort. We exert ourselves willfully and it fetches immense confidence and a clean sense of self-reliance.
1) Special lecture series (for B.Tech/M.Tech, NITC; forthcoming):
a) Fractional Fourier transform: Theory, algorithm and applications (approx. 12 Hours) b) Z-Transform: Its formulation (approx. 8 Hours) c) Frame theory (approx. 8 Hours)
2) Special lecture series (past):
Poles, Zeros and the Construction of Transforms (For B.Tech, from 1 June 2011 to 28 June 2011.
Compression Sampling (Lectures + Lab) (For B.Tech, from 8 June 2009 to 27 June 2009)
Wavelets: Theory and Construction - A Signal-Theoretic Approach (Invited lecture, 2 Hours, Government Engineering College Barton Hill, Thiruvananthapuram; March 6, 2009)
Theory and Design of Linear Time Invariant Systems (Electronic Circuits): Pole-Zero Placement Techniques (along with Hardware Laboratory sessions) (7 days, for B.Tech, NITC; July, 2008)
Continuous Wavelet Transform: Theory and Practice (6 Hours, for B.Tech, NITC; August 2007)
Multirate signal theory: From sampling theorem to filter bank design (15 Hours, for B.Tech, NITC; August 2006)
Wavelets: A signal theoretic perspective (Invited lecture, UGC sponsored regional seminar on recent trends in Functional Analysis, Department of Mathematics, Farook College, Kozhikkode, March 8, 2006)
A-law and Mu-law Companding: Formulation from first principles (8 Hours, for B.Tech, NITC; January-February 2006)
Speech coding: Linear prediction - Theory and algorithms (15 Hours, for B.Tech, NITC; July 2002; January 2005; February 2006; January 2008)
Wavelets (Invited lecture, 1.5 Hours, Organized by IEEE, IE, Center for Bio-mechanics NITC; March 2005)
Wavelets (Invited lecture, 8 Hours, NSS College of Engineering., Palakkad; July 2003)
3) Internship Projects:
Fractional Fourier Transform: Theory, Algorithm and Applications
Analysis, Design, Realization and Testing of Feedback Amplifiers, and RF circuits for Analog Communication
Fundamentals of Compressive Sampling
4) Upcoming Projects:
a) Compression Sampling of Analog Signals.
b) Construction of Multiscaling Functions: Analytical Schemes.
The prospective regular (Full-time) research candidates have to get admission through the normal selection procedure. They have to appear for the selection interview in the ECE Department of the NITC on a date decided by the Institute.
The candidates interested in the areas mentioned above may choose at least two topics from the titles listed below. They will be asked questions from the topics chosen by them, at the time of the interview. The questions will be such as to test basic understanding, analytical ability, creativity and inclination for research (i.e., ability to synthesise).
Gilbert Strang, "Linear Algebra and Its Applications", 3rd edn. Brooks/Cole US, 1998.
Peter D. Lax, "Linear Algebra", John Wiley & Sons, 1997.
2) Functional Analysis
Erwin Kreyszig, "Introductory Functional Analysis with Applications", John Wiley & Sons, 1989.
3) Random Process
Peyton Z. Peebles Jr., "Probability, Random Variables and Random Signal Principles", 4th edn., Tata McGraw-Hill, New Delhi, 2002.
Yannis Viniotis, "Probability and Random Processes for Electrical Engineers" WCB/McGraw-Hill, 1998.
4) Basic Signal Theory
K. S. Suresh Kumar, "Electric Circuits and Networks", Pearson Education, 2008.
B. P. Lathi, "Linear Systems and Signals", Oxford University Press, 2002.
The selected research candidates, if interested to work with me in the areas mentioned above, may contact me in person to know more about the research-projects and to collect the initial reading materials.
Research work is basically an inquiry into the unknown. It may turn out that the original premises in a research problem were not correct. Sometimes the work might fail altogether. If the researcher does not get the support of the organization and the sponsors, the atmosphere would not be conducive to original contributions and creativity. "Safe" options in choosing research problems lead only to infinitesimal advancements. Such researchers can only be followers and never leaders. The Institution should have the courage to take up challenging problems with a lot of uncertainty and should accept occasional genuine mistakes in the process as unavoidable accompaniments of genuine research.
- Excerpts from a printed sheet collected from a waste basket - Author unknown.