1 Introduction - Principles of Signals and Systems - Prof. Aditya K. Jagannatham
2 Principles of Signals and Systems- Introduction to Signals and Systems, Signal Classification
3 Analog and Digital Signals
4 Energy and Power Signals
5 Real Exponential Signals
6 Memory/Memory-less and Causal/ Non-Causal Systems
7 Properties of Linear Systems
8 Example Problems-1
9 Example Problems-2
10 Example Problem-3
11 Properties and Analysis of LTI Systems-I
12 Properties and Analysis of LTI Systems-II
13 Properties and Analysis of LTI Systems-III
14 Properties of Discrete Time LTI Systems
15 Example Problems LTI Systems-I
16 Example Problems LTI Systems-II
17 Example Problems DT-LTI Systems
18 Laplace Transform
19 Laplace Transform Properties-I
20 Laplace Transform Properties-II
21 Laplace Transform of LTI Systems
22 Laplace Transform Example Problems-I
23 Laplace Transform Example Problems-II
24 Laplace Transform of RL, RC Circuit
25 Z-Transform
26 Z-Transform Properties-I
27 Z-Transform Properties-II
28 Z-Transform of LTI Systems
29 Z-Transform Examples-I
30 Z-Transform Examples-II
31 Z-Transform Examples-III
32 Z-Transform Examples-IV
33 Inverse Z-Transform
34 Fourier Analysis Introduction
35 Complex Exponential and Trigonometric FS
36 Conditions for Existence of FS
37 Fourier Transform (FT) Introduction
38 Properties of Fourier Transform-I
39 Properties of Fourier Transform-II
40 Fourier Transform – Parseval’s Relation
41 Fourier Transform of LTI Systems
42 FT- Ideal and Non-Ideal Filters
43 Fourier Analysis Examples-I
44 Fourier Analysis Examples-II
45 Fourier Analysis Examples-III
46 Fourier Analysis Examples-IV
47 Fourier Analysis Examples-V
48 Fourier Analysis Examples-VI
49 Fourier Analysis Bode Plot-I
50 Fourier Analysis Bode Plot-II
51 Fourier Transform Examples: Filtering – Ideal Low Pass Filter
52 Fourier Transform Problems: Unit Step Response of RC Circuit, Sampling of Continuous Signal
53 Sampling: Spectrum of Sampled Signal, Nyquist Criterion
54 Sampling: Reconstruction from Sampled Signal
55 Fourier Analysis of Discrete Time Signals and Systems – Introduction
56 Fourier Analysis of Discrete Time Signals – Duality, Parseval’s Theorem
57 Definition, Inverse DTFT, Convergence,DTFT and z-Transform, DTFT
58 DTFT Linearity, Time Shifting, Frequency Shifting, Conjugation, Time-Reversal, Duality
59 DTFT Differentiation in Frequency, Difference in Time, Convolution, Multiplication
60 DTFT: Discrete Time LTI Systems – LTI Systems Characterized by Difference Equations
61 Definition, Inverse DFT, Relation between DFT and DFS, Relation between DFT and DTFT, Properties
62 Conjugation, Frequency Shift, Duality, Circular Convolution, Multiplication, Parseval’s Relation
63 Example Problems: DFS Analysis of Discrete Time Signals, Problems on DTFT
64 Example Problems: DTFT of Cosine, Unit Step Signals
65 DTFT Example Problems-III
66 DTFT Example Problems-IV
67 DTFT Example Problems-V
68 DFT Example Problems-I
69 Example Problems: DFT, IDFT in Matrix form
70 Group/ Phase Delay – Part I
71 Group/ Phase Delay – Part II
72 IIR Filter Structures: DF–I, DF–II
73 IIR Filter Structures: Transpose Form
74 IIR Filter Structures: Example
75 IIR Filter Structures: Cascade Form
76 IIR Filter: Parallel Form – I & II