**Video Lecture Series from IIT Professors :****Signals and Systems**

**by Prof. S.C. Dutta Roy sir**

Suhash Chandra Dutta Roy earned his BSc (Hons) in Physics (1956), MSc (Tech) in Radio Physics and Electronics (1959), and DPhil degree (1965) all from the University of Calcutta. He worked as Research Officer (Electronics) at the River Research Institute, West Bengal (WB) for two years, before joining the University of Kalyani, as a lecturer. He was Assistant Professor of Electrical Engineering at the University of Minnesota (1965-68) before he joined IIT, Delhi as an Associate Professor of Electrical Engineering. He was promoted to Professor in 1970 and served as the Head of the Department as well as Dean of Undergraduate Studies. On sabbatical leave from IIT Delhi, he spent a year at the University of Leeds and another year at the Iowa State University. After retirement in 1998, he continued at IIT Delhi, first as an Emeritus Fellow, then as INSA Senior Scientist, and currently as an INSA Honorary Scientist. He teaches a course every semester and continues his research on circuits, systems and signal processing.

**Academic and Research Achievements:**Dutta Roy's initial research concerned lumped and distributed networks and transistor circuits, with particular reference to IC implementation. At Minnesota, he worked on active RC filters, and continued working in the same field after return to India, with particular emphasis on economic inductor simulation and low sensitivity circuits. With fast developments in technology during mid seventies, his research interests gradually shifted to signal processing both analog and digital, with a heavy tilt towards digital signal processing (DSP). He has written three book chapters and published 245 research papers in IEEE and other professional journals of repute. He is the holder of one US and three Indian Patents and is the author of five full semester video courses which are used widely in India. He has mentored thirty PhD students.

**Other Contributions:**Professor Dutta Roy has been associated with a number of national organizations like the Science and Engineering Academies. He has made significant contribution to modernization of curriculum, assessment of faculty, etc. He has been on the Editorial Boards of several national and international journals including IEEE.

**Awards and Honours:**Professor Dutta Roy is a Fellow of Institution of Electrical and Electronics Engineers (IEEE), Indian Academy of Sciences, Bangalore, Indian National Academy of Engineering, National Academy of Sciences (India), Allahabad, Acoustical Society of India and Systems Society of India. He is a Distinguished Fellow of the Institution of Electronics and Telecommunication Engineers (IETE). His other honours and awards include the SS Bhatnagar Award, Vikram Sarabhai Award, OP Bhasin Foundation Award, Jawaharlal Nehru Award, Syed Hussain Zaheer Medal (1992) and Dr Guru Prasad Chatterjee Memorial Lecture (2009) of INSA, Ram Lal Wadhwa Gold Medal and Meghnad Saha Award of the IETE and the UGC National Lectureship.

1. Introduction to the Course and Basic Concepts

2. Signals & their Transportation

3. Elementary Signals in the Discrete Time Domain

4. Characterisation of Signals

5. Basic concepts of Linear Time Systems

6. Convolution Invertibility, & Stability Causality

7. Stability Unit, Step Response and Differential Equations

8. Systems Described by Differential & Difference Equations

9. Fourier & His Series

10. More About Fourier Series (With Uncomfortable Questions)

11. Those Uncomfortable Questions about the Existence of Fourier & Seriesand Some More

12. Introduction to Fourier Transform

13. Fourier Transform of Periodic Function & Fourier Transform Properties

14. More Properties of Fourier Transformation

15. Anatomy of a Class Test & a Continued Look at the Properties of Fourier Transform

16. Modulation, Convolutions and Other Interesting Properties of Fourier Transform

17. A Deeper Look at the Modulation Property of Fourier Transform.

18. Fourier Analysis of Discrete Time Signals & Systems - The Beginning

19. More About Fourier Transform of Discrete Time Signals

20. Further Look into the Properties of DTFT

21. Convolution, Modulation & Other Properties of DTFT

22. Farewell to Discrete Time Fourier Transform & Introduction to Sampling

23. More About Sampling

24. Introduction to Laplace Transform

25. Region of Convergence of Laplace Transform & Properties of LaplaceTransform

26. Properties of Laplace Transform (Contd.)

27. Concluding Discission on Laplace Transform

28. Introduction to Z Transform

29. Properties of Z Transform

30. Further Discussion on Properties of Z Transform

31. Solution to Class Test - 2, Concluding Discussion on Z Transform

32. Introduction to Random Signals & Probability

33. Probability Functions

34. Solutions to Minor Z Problems & more about PDF & pdf

35. More About PDF'S & pdf's

36. Classification of Random Processes & Introduction to CorrelationFunctions.

37. More About Correction Functions

38. Cross Correlation Function and their Properties

39. Introduction to Spectral Density

40. More About Spectral Density

41. Response of Linear System to Random Inputs

42. Frequency Domain Analysis of LTI Systems Excited by Random Inputs

2. Signals & their Transportation

3. Elementary Signals in the Discrete Time Domain

4. Characterisation of Signals

5. Basic concepts of Linear Time Systems

6. Convolution Invertibility, & Stability Causality

7. Stability Unit, Step Response and Differential Equations

8. Systems Described by Differential & Difference Equations

9. Fourier & His Series

10. More About Fourier Series (With Uncomfortable Questions)

11. Those Uncomfortable Questions about the Existence of Fourier & Seriesand Some More

12. Introduction to Fourier Transform

13. Fourier Transform of Periodic Function & Fourier Transform Properties

14. More Properties of Fourier Transformation

15. Anatomy of a Class Test & a Continued Look at the Properties of Fourier Transform

16. Modulation, Convolutions and Other Interesting Properties of Fourier Transform

17. A Deeper Look at the Modulation Property of Fourier Transform.

18. Fourier Analysis of Discrete Time Signals & Systems - The Beginning

19. More About Fourier Transform of Discrete Time Signals

20. Further Look into the Properties of DTFT

21. Convolution, Modulation & Other Properties of DTFT

22. Farewell to Discrete Time Fourier Transform & Introduction to Sampling

23. More About Sampling

24. Introduction to Laplace Transform

25. Region of Convergence of Laplace Transform & Properties of LaplaceTransform

26. Properties of Laplace Transform (Contd.)

27. Concluding Discission on Laplace Transform

28. Introduction to Z Transform

29. Properties of Z Transform

30. Further Discussion on Properties of Z Transform

31. Solution to Class Test - 2, Concluding Discussion on Z Transform

32. Introduction to Random Signals & Probability

33. Probability Functions

34. Solutions to Minor Z Problems & more about PDF & pdf

35. More About PDF'S & pdf's

36. Classification of Random Processes & Introduction to CorrelationFunctions.

37. More About Correction Functions

38. Cross Correlation Function and their Properties

39. Introduction to Spectral Density

40. More About Spectral Density

41. Response of Linear System to Random Inputs

42. Frequency Domain Analysis of LTI Systems Excited by Random Inputs