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## Lecture Details :

Video Lecture Series by IIT professors (Not Available in NPTEL)

Video Lectures on "Signals and Systems" by Prof. S.C. Dutta Roy Sir

For more Video Lectures...... www.satishkashyap.com

For free ebooks ...... www.ebook29.blogspot.com

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 & Series and 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 F.T.

16. Modulation, Convolutions and Other Interesting Properties of F.T.

17. A Deeper Look at the Modulation Property of F.T.

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 Laplace Transform

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 Correlation Functions.

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

## Course Description :

Contents:

Introduction to the Course and Basic Concepts - Signals & their Transportation - Elementary Signals in the Discrete Time Domain - Characterisation of Signals - Basic concepts of Linear Time Systems - Convolution Invertibility, & Stability Causality - Stability Unit, Step Response and Differential Equations - Systems Described by Differential & Difference Equations - Fourier & His Series - More About Fourier Series (With Uncomfortable Questions) - Those Uncomfortable Questions about the Existence of Fourier & Series and Some More

Introduction to Fourier Transform - Fourier Transform of Periodic Function & Fourier Transform Properties - More Properties of Fourier Transformation - Anatomy of a Class Test & a Continued Look at the Properties of F.T - Modulation, Convolutions and Other Interesting Properties of F.T - A Deeper Look at the Modulation Property of F.T - Fourier Analysis of Discrete Time Signals & Systems - The Beginning - More About Fourier Transform of Discrete Time Signals

Further Look into the Properties of DTFT - Convolution, Modulation & Other Properties of DTFT - Farewell to Discrete Time Fourier Transform & Introduction to Sampling - More About Sampling - Introduction to Laplace Transform - Region of Convergence of Laplace Transform & Properties of Laplace Transform - Properties of Laplace Transform (Contd.) - Concluding Discission on Laplace Transform - Introduction to Z Transform - Properties of Z Transform - Further Discussion on Properties of Z Transform

Solution to Class Test - 2, Concluding Discussion on Z Transform - Introduction to Random Signals & Probability - Probability Functions - Solutions to Minor Z Problems & more about PDF & pdf - More About PDF'S & pdf's - Classification of Random Processes & Introduction to Correlation Functions - More About Correction Functions - Cross Correlation Function and their Properties - Introduction to Spectral Density - More About Spectral Density - Response of Linear System to Random Inputs - Frequency Domain Analysis of LTI Systems Excited by Random Inputs.

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