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Definition of Fourier Transform
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Classroom Contents
Signals and Systems
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- 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
