NOC:Signals and Systems

Lecture 1 - Real and Complex Number

Lecture 2 - Sinusoid and Phasor

Lecture 3 - Limits and Continuity

Lecture 4 - Differentiation and Integration

Lecture 5 - L’Hospital’s Rule

Lecture 6 - LTI System Examples; Impedance

Lecture 7 - Dirac Delta function; Impulse

Lecture 8 - Continuous and Discrete Time Systems

Lecture 9 - Even Signal; Odd Signal

Lecture 10 - Orthogonality of Signals

Lecture 11 - Shifting and Scaling in Continuous Time - I

Lecture 12 - Shifting and Scaling in Continuous Time - II

Lecture 13 - Shifting and Scaling in Discrete Time

Lecture 14 - Signal and Noise

Lecture 15 - Signals in the Physical World

Lecture 16 - Signals and Sensory Perception

Lecture 17 - Frequency Domain Representation

Lecture 18 - Definition of Fourier Transform

Lecture 19 - Fourier Transform : Examples I

Lecture 20 - Dirichlet Conditions

Lecture 21 - Inverse Fourier Transform

Lecture 22 - Fourier Transform : Examples II

Lecture 23 - Frequency-Time Uncertainty Relation

Lecture 24 - Fourier Transform : Linearity, Time Shifting and Time Scaling

Lecture 25 - Fourier Transform : Derivative Property

Lecture 26 - Fourier Transform : Multiplication and Convolution Property

Lecture 27 - Fourier Transform : Integral Property

Lecture 28 - Fourier Transform : Example III

Lecture 29 - Fourier Transform : Example IV

Lecture 30 - Fourier Transform of Noise

Lecture 31 - Types of Noise

Lecture 32 - Overview of Systems and General Properties

Lecture 33 - Linearity and Time Invariance

Lecture 34 - LTI System Examples

Lecture 35 - Frequency Response of RLC circuits - I

Lecture 36 - Frequency Response of RLC circuits - II

Lecture 37 - LCCDE Representation of Continuous-Time LTI Systems

Lecture 38 - Frequency Domain Representation of LCCDE Systems

Lecture 39 - Time Domain Representation of LTI Systems

Lecture 40 - Continuous-Time Convolution Integral

Lecture 41 - Continuous-Time Convolution : Example I

Lecture 42 - Continuous-Time Convolution : Example II

Lecture 43 - Continuous-Time Convolution : Example III

Lecture 44 - LTI Systems : Commutative, Distributive and Associative

Lecture 45 - LTI Systems : Memorylessness and Invertibility

Lecture 46 - LTI Systems : Causality and Stability

Lecture 47 - Fourier Transform in Complex Frequency Domain

Lecture 48 - Laplace Transform : Poles and Zeros

Lecture 49 - Laplace Transform : Region of Convergence [ROC]

Lecture 50 - Laplace Transform : Examples I

Lecture 51 - Laplace Transform : Examples II

Lecture 52 - Laplace Analysis of LTI Systems

Lecture 53 - Laplace Analysis of RLC Circuits - I

Lecture 54 - Laplace Transform : Linearity, Shifting and Scaling

Lecture 55 - Laplace Transform : Derivative and Integral

Lecture 56 - Laplace Transform : Causality and Stability

Lecture 57 - Laplace Analysis of LTI Systems : Example I

Lecture 58 - Laplace Analysis of LTI Systems : Example II

Lecture 59 - Laplace Analysis of First Order RLC Circuits

Lecture 60 - Laplace Analysis of Second Order RLC Circuits

Lecture 61 - Fourier Transform of Periodic Signals

Lecture 62 - Fourier Series Representation in Continuous-Time

Lecture 63 - Fourier Series Properties - I

Lecture 64 - Fourier Series Properties - II

Lecture 65 - LTI System Response for Periodic Input Signal

Lecture 66 - Fourier Series in Continuous-Time : Examples I

Lecture 67 - Fourier Series in Continuous-Time : Examples II

Lecture 68 - Discrete-Time Convolution Sum

Lecture 69 - Discrete-Time Convolution Sum Examples and Properties

Lecture 70 - LCCDE Representation of Discrete-Time LTI Systems

Lecture 71 - Impulse Train Sampling

Lecture 72 - Reconstruction of Continuous-Time Signal

Lecture 73 - Nyquist Sampling Theorem and Aliasing

Lecture 74 - Fourier Transform of Sampled Signals

Lecture 75 - DTFT : Examples I

Lecture 76 - DTFT Properties I: Periodicity, Linearity, Time/Frequency shifting, and Conjugation

Lecture 77 - DTFT Properties II: Differencing and Accumulation in Time Domain, Differentiation in Frequency Domain

Lecture 78 - DTFT Properties III: Time Reversal, Time Expansion, Convolution and Parsevaal’s Relation

Lecture 79 - DTFT : Examples II

Lecture 80 - DTFT in Complex Frequency Domain

Lecture 81 - Z-Transform : Properties of ROC

Lecture 82 - Z-Transform Properties I: Linearity, Time-Shifting, Time-Expansion, Time-Reversal, and Z-Scaling

Lecture 83 - Z-Transform Properties II: Conjugation and Convolution

Lecture 84 - Z-Transform Properties III: Causality and Stability

Lecture 85 - Z-Transform : Examples I

Lecture 86 - Z-Transform : Examples II

Lecture 87 - Block Diagram Representation