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DTFT: Discrete Time LTI Systems – LTI Systems Characterized by Difference Equations
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Classroom Contents
Principles of Signals and Systems
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- 1 Introduction - Principles of Signals and Systems - Prof. Aditya K. Jagannatham
- 2 Principles of Signals and Systems- Introduction to Signals and Systems, Signal Classification
- 3 Analog and Digital Signals
- 4 Energy and Power Signals
- 5 Real Exponential Signals
- 6 Memory/Memory-less and Causal/ Non-Causal Systems
- 7 Properties of Linear Systems
- 8 Example Problems-1
- 9 Example Problems-2
- 10 Example Problem-3
- 11 Properties and Analysis of LTI Systems-I
- 12 Properties and Analysis of LTI Systems-II
- 13 Properties and Analysis of LTI Systems-III
- 14 Properties of Discrete Time LTI Systems
- 15 Example Problems LTI Systems-I
- 16 Example Problems LTI Systems-II
- 17 Example Problems DT-LTI Systems
- 18 Laplace Transform
- 19 Laplace Transform Properties-I
- 20 Laplace Transform Properties-II
- 21 Laplace Transform of LTI Systems
- 22 Laplace Transform Example Problems-I
- 23 Laplace Transform Example Problems-II
- 24 Laplace Transform of RL, RC Circuit
- 25 Z-Transform
- 26 Z-Transform Properties-I
- 27 Z-Transform Properties-II
- 28 Z-Transform of LTI Systems
- 29 Z-Transform Examples-I
- 30 Z-Transform Examples-II
- 31 Z-Transform Examples-III
- 32 Z-Transform Examples-IV
- 33 Inverse Z-Transform
- 34 Fourier Analysis Introduction
- 35 Complex Exponential and Trigonometric FS
- 36 Conditions for Existence of FS
- 37 Fourier Transform (FT) Introduction
- 38 Properties of Fourier Transform-I
- 39 Properties of Fourier Transform-II
- 40 Fourier Transform – Parseval’s Relation
- 41 Fourier Transform of LTI Systems
- 42 FT- Ideal and Non-Ideal Filters
- 43 Fourier Analysis Examples-I
- 44 Fourier Analysis Examples-II
- 45 Fourier Analysis Examples-III
- 46 Fourier Analysis Examples-IV
- 47 Fourier Analysis Examples-V
- 48 Fourier Analysis Examples-VI
- 49 Fourier Analysis Bode Plot-I
- 50 Fourier Analysis Bode Plot-II
- 51 Fourier Transform Examples: Filtering – Ideal Low Pass Filter
- 52 Fourier Transform Problems: Unit Step Response of RC Circuit, Sampling of Continuous Signal
- 53 Sampling: Spectrum of Sampled Signal, Nyquist Criterion
- 54 Sampling: Reconstruction from Sampled Signal
- 55 Fourier Analysis of Discrete Time Signals and Systems – Introduction
- 56 Fourier Analysis of Discrete Time Signals – Duality, Parseval’s Theorem
- 57 Definition, Inverse DTFT, Convergence,DTFT and z-Transform, DTFT
- 58 DTFT Linearity, Time Shifting, Frequency Shifting, Conjugation, Time-Reversal, Duality
- 59 DTFT Differentiation in Frequency, Difference in Time, Convolution, Multiplication
- 60 DTFT: Discrete Time LTI Systems – LTI Systems Characterized by Difference Equations
- 61 Definition, Inverse DFT, Relation between DFT and DFS, Relation between DFT and DTFT, Properties
- 62 Conjugation, Frequency Shift, Duality, Circular Convolution, Multiplication, Parseval’s Relation
- 63 Example Problems: DFS Analysis of Discrete Time Signals, Problems on DTFT
- 64 Example Problems: DTFT of Cosine, Unit Step Signals
- 65 DTFT Example Problems-III
- 66 DTFT Example Problems-IV
- 67 DTFT Example Problems-V
- 68 DFT Example Problems-I
- 69 Example Problems: DFT, IDFT in Matrix form
- 70 Group/ Phase Delay – Part I
- 71 Group/ Phase Delay – Part II
- 72 IIR Filter Structures: DF–I, DF–II
- 73 IIR Filter Structures: Transpose Form
- 74 IIR Filter Structures: Example
- 75 IIR Filter Structures: Cascade Form
- 76 IIR Filter: Parallel Form – I & II
