1 Introduction to Signals & Systems
2 mod01lec01- Real and Complex Number
3 mod01lec02-Sinusoid and Phasor
4 mod01lec03-Limits and Continuity
5 mod01lec04-Differentiation and Integration
6 mod01lec05-L’Hospital’s Rule
7 mod01lec06-Input-Output Relation for RLC circuits
8 mod01lec07-Unit Step and Delta function
9 mod02lec08-Continuous and Discrete Time Systems
10 Even Signal; Odd Signal
11 mod02lec10-Orthogonality of Signals
12 mod02lec11-Shifting and Scaling in Continuous Time - I
13 mod02lec12-Shifting and Scaling in Continuous Time - II
14 mod02lec13-Shifting and Scaling in Discrete Time
15 mod02lec14-Signal and Noise
16 mod02lec15-Signals in the Physical World
17 mod02lec16-Signals and Sensory Perception
18 Frequency Domain Representation
19 Definition of Fourier Transform
20 Fourier Transform Examples - I
21 Dirichlet Conditions
22 Inverse Fourier Transform
23 Fourier Transform Examples - II
24 Frequency-Time Uncertainty Relation
25 Fourier Transform : Linearity, Time Shifting and Time Scaling
26 Fourier Transform : Derivative Property
27 Fourier Transform : Multiplication and Convolution Property
28 Fourier Transform : Integral Property
29 Fourier Transform Example - III
30 Fourier Transform Example - IV
31 Fourier Transform of Noise
32 Types of Noise
33 Overview of Systems and General Properties
34 Linearity and Time Invariance
35 LTI System Examples
36 Frequency Response of RLC circuits - I
37 Frequency Response of RLC circuits - II
38 LCCDE Representation of Continuous-Time LTI Systems
39 Frequency Domain Representation of LCCDE Systems
40 Time Domain Representation of LTI Systems
41 Continuous-Time Convolution Integral
42 Continuous-Time Convolution Example I
43 Continuous-Time Convolution Example II
44 Continuous-Time Convolution Example III
45 LTI Systems : Commutative, Distributive and Associative
46 LTI Systems : Memorylessness and Invertibility
47 LTI Systems : Causality and Stability
48 Fourier Transform in Complex Frequency Domain
49 Laplace Transform : Poles and Zeros
50 Laplace Transform : Region of Convergence [ROC]
51 Laplace Transform Examples I
52 Laplace Transform Examples II
53 Laplace Analysis of LTI Systems
54 Laplace Analysis of RLC Circuits I
55 Laplace Transform : Linearity, Shifting and Scaling
56 Laplace Transform : Derivative and Integral
57 Laplace Transform : Causality and Stability
58 Laplace Analysis of LTI Systems Example I
59 Laplace Analysis of LTI Systems Example II
60 Laplace Analysis of First Order RLC Circuits
61 Laplace Analysis of Second Order RLC Circuits
62 Fourier Transform of Periodic Signals
63 Fourier Series Representation in Continuous-Time
64 Fourier Series Properties I
65 Fourier Series Properties II
66 LTI System Response for Periodic Input Signal
67 Fourier Series in Continuous-Time : Examples I
68 Fourier Series in Continuous-Time : Examples II
69 mod10lec68-Discrete-Time Convolution Sum
70 mod10lec69-Discrete-Time Convolution Sum Examples and Properties
71 mod10lec70-LCCDE Representation of Discrete-Time LTI Systems
72 mod10lec71-Impulse Train Sampling
73 mod10lec72-Reconstruction of Continuous-Time Signal
74 mod10lec73-Nyquist Sampling Theorem and Aliasing
75 mod11lec74-Fourier Transform of Sampled Signals
76 mod11lec75-DTFT Examples I
77 mod11lec76-DTFT Properties I
78 mod11lec77-DTFT Properties II
79 mod11lec78-DTFT Properties III
80 mod11lec79-DTFT Examples II
81 mod12lec80-DTFT in Complex Frequency Domain
82 mod12lec81-Z-Transform : Properties of ROC
83 mod12lec82-Z-Transform Properties II
84 mod12lec83-Z-Transform Properties II
85 mod12lec84-Z-Transform Properties III
86 mod12lec85-Z-Transform Examples I
87 mod12lec86-Z-Transform Examples II
88 mod12lec87-Block Diagram Representation