Continuous and Discrete Time Systems

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Even Signal; Odd Signal

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Orthogonality of Signals

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Shifting and Scaling in Continuous Time - I

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Shifting and Scaling in Discrete Time

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Signal and Noise

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Signals in the Physical World

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Signals and Sensory Perception

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Frequency Domain Representation

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Definition of Fourier Transform

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Fourier Transform Examples - I

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Dirichlet Conditions

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Inverse Fourier Transform

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Fourier Transform Examples - II

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Frequency-Time Uncertainty Relation

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Fourier Transform : Linearity, Time Shifting and Time Scaling

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Fourier Transform : Derivative Property

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Fourier Transform : Multiplication and Convolution Property

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Fourier Transform : Integral Property

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Fourier Transform Example - III

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Fourier Transform Example - IV

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Fourier Transform of Noise

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Types of Noise

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Overview of Systems and General Properties

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Linearity and Time Invariance

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LTI System Examples

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Frequency Response of RLC circuits - I

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Frequency Response of RLC circuits - II

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LCCDE Representation of Continuous-Time LTI Systems

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Frequency Domain Representation of LCCDE Systems

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Time Domain Representation of LTI Systems

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Continuous-Time Convolution Integral

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Continuous-Time Convolution Example I

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Continuous-Time Convolution Example II

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Continuous-Time Convolution Example III

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LTI Systems : Commutative, Distributive and Associative

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LTI Systems : Memorylessness and Invertibility

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LTI Systems : Causality and Stability

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Fourier Transform in Complex Frequency Domain

Preview 19:27

Laplace Transform : Poles and Zeros

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Laplace Transform : Region of Convergence [ROC]

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Laplace Transform Examples I

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Laplace Transform Examples II

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Laplace Analysis of LTI Systems

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Laplace Analysis of RLC Circuits I

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Laplace Transform : Linearity, Shifting and Scaling

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Laplace Transform : Derivative and Integral

Preview 20:51

Laplace Transform : Causality and Stability

Preview 25:39

Laplace Analysis of LTI Systems Example I

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Laplace Analysis of LTI Systems Example II

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Laplace Analysis of First Order RLC Circuits

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Laplace Analysis of Second Order RLC Circuits

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Fourier Transform of Periodic Signals

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Fourier Series Representation in Continuous-Time

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Fourier Series Properties I

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Fourier Series Properties II

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LTI System Response for Periodic Input Signal

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Fourier Series in Continuous-Time : Examples I

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Fourier Series in Continuous-Time : Examples II

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Discrete-Time Convolution Sum

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Discrete-Time Convolution Sum Examples and Properties

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LCCDE Representation of Discrete-Time LTI Systems

Preview 21:13

Impulse Train Sampling

Preview 25:30

Reconstruction of Continuous-Time Signal

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Nyquist Sampling Theorem and Aliasing

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Fourier Transform of Sampled Signals

Preview 27:29

DTFT Examples I

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

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

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DTFT Properties III : Time Reversal, Time Expansion, Convolution and Parsevaal's Relation

Preview 23:44

DTFT Examples II

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DTFT in Complex Frequency Domain

Preview 26:36

Z-Transform : Properties of ROC

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

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Z-Transform Properties II : Conjugation and Convolution

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Z-Transform Properties III : Causality and Stability

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Z-Transform Examples I

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Z-Transform Examples II

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Block Diagram Representation

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