Signals and Systems

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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.

Course Curriculum

1. Introduction to the Course and Basic Concepts Details 31:55
2. Signals & their Transportation Details 51:55
3. Elementary Signals in the Discrete Time Domain Details 55:47
4. Characterisation of Signals Details 50:48
5. Basic concepts of Linear Time Systems Details 49:43
6. Convolution Invertibility, & Stability Causality Details 52:19
7. Stability Unit, Step Response and Differential Equations Details 48:18
8. Systems Described by Differential & Difference Equations Details 50:12
9. Fourier Series Details 48:16
10. More About Fourier Series (With Uncomfortable Questions) Details 54:7
11. Those Uncomfortable Questions about the Existence of Fourier & Series and Some More Details 49:11
12. Introduction to Fourier Transform Details 56:19
13. Fourier Transform of Periodic Function & Fourier Transform Properties Details 50:54
14. More Properties of Fourier Transformation Details 47:55
15. Anatomy of a Class Test & a Continued Look at the Properties of Fourier Transform Details 49:44
16. Modulation, Convolutions and Other Interesting Properties of Fourier Transform Details 40:57
17. A Deeper Look at the Modulation Property of Fourier Transform Details 52:16
18. Fourier Analysis of Discrete Time Signals & Systems – The Beginning Details 53:48
19. More About Fourier Transform of Discrete Time Signals Details 0:50
20. Further Look into the Properties of DTFT Details 41:15
21. Convolution, Modulation & Other Properties of DTFT Details 54:31
22. Farewell to Discrete Time Fourier Transform & Introduction to Sampling Details 52:21
23. More About Sampling Details 55:35
24. Introduction to Laplace Transform Details 58:22
25. Region of Convergence of Laplace Transform & Properties of Laplace Transform Details 49:10
26. Properties of Laplace Transform (Contd.) Details 53:10
27. Concluding Discission on Laplace Transform Details 52:35
28. Introduction to Z Transform Details 51:8
29. Properties of Z Transform Details 47:9
30. Further Discussion on Properties of Z Transform Details 0:43
31. Solution to Class Test – 2, Concluding Discussion on Z Transform Details 57:38
32. Introduction to Random Signals & Probability Details 52:1
33. Probability Functions Details 50:38
34. Solutions to Minor Z Problems & more about PDF & pdf Details 44:23
35. More About PDF’S & pdf’s Details 52:2
36. Classification of Random Processes & Introduction to Correlation Functions Details 0:49
38. Cross Correlation Function and their Properties Details 49:27
39. Introduction to Spectral Density Details 42:51
40. More About Spectral Density Details 50:49
41. Response of Linear System to Random Inputs Details 43:4
42. Frequency Domain Analysis of LTI Systems Excited by Random Inputs Details 39:16

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