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