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Last updated:
August 21, 2023
Duration:
Unlimited Duration
FREE
This course includes:
Unlimited Duration
Badge on Completion
Certificate of completion
Unlimited Duration
Description
Principles of Signals and Systems. Instructor: Prof. Aditya K. Jagannatham, Department of Electrical Engineering, IIT Kanpur.
This course is introduces the fundamental principles of signals and system analysis. These concepts form the building blocks of modern digital signal processing, communication and control systems. Hence, a sound understanding of these principles is necessary for all students of Electronics and Communication engineering (ECE), Electrical and Electronics Engineering (EEE), and Instrumentation Engineering (IE). The course will cover various basic tools of signal and system analysis such as signal classification, LTI systems, Properties of LTI Systems, Frequency Response, Laplace Transform, Z-Transform, Fourier Transform, Fourier Series, Discrete Time Fourier Transform (DTFT), Discrete Fourier Transform (DFT), Cascade/ Parallel structures and their various practical applications. Various concepts such as convolution, impulse/ frequency response, causality, stability of systems will be especially emphasized. Other additional topics such as state space techniques and solutions to state space equations will also be covered. (from nptel.ac.in)
Course Curriculum
- Lecture 01 – Introduction to Signals and Systems, Signal Classification Unlimited
- Lecture 02 – Analog and Digital Signals Unlimited
- Lecture 03 – Energy and Power Signals Unlimited
- Lecture 04 – Real Exponential Signals Unlimited
- Lecture 05 – Memory/Memoryless and Causal/Non-Causal Systems Unlimited
- Lecture 06 – Properties of Linear Systems Unlimited
- Lecture 07 – Example Problems – Plot, Odd/ Even Components, Periodicity Unlimited
- Lecture 08 – Example Problems – Energy, Properties of Impulse, RL Circuit Unlimited
- Lecture 09 – Example Problems – Properties of Modulator, Eigenfunction of LTI System Unlimited
- Lecture 10 – Properties and Analysis of LTI Systems I Unlimited
- Lecture 11 – Properties and Analysis of LTI Systems II Unlimited
- Lecture 12 – Properties and Analysis of LTI Systems III Unlimited
- Lecture 13 – Properties of Discrete Time LTI Systems Unlimited
- Lecture 14 – Example Problems: LTI Systems – Convolution, Periodic Convolution Unlimited
- Lecture 15 – Example Problems: LTI Systems – Eigenfunction, etc. Unlimited
- Lecture 16 – Example Problems: Discrete Time LTI Systems – Output of System, etc. Unlimited
- Lecture 17 – Laplace Transform Unlimited
- Lecture 18 – Properties of Laplace Transform: Time Shifting Property, etc. Unlimited
- Lecture 19 – Properties of Laplace Transform: Convolution, Rational Function Unlimited
- Lecture 20 – Laplace Transform of LTI Systems Unlimited
- Lecture 21 – Laplace Transform Example Problems I Unlimited
- Lecture 22 – Laplace Transform Example Problems II Unlimited
- Lecture 23 – Laplace Transform of RL, RC Circuits Unlimited
- Lecture 24 – z-Transform Unlimited
- Lecture 25 – z-Transform Properties I Unlimited
- Lecture 26 – z-Transform Properties II Unlimited
- Lecture 27 – z-Transform of LTI Systems Unlimited
- Lecture 28 – z-Transform Examples: Evaluation of z-Transform, Region of Convergence Unlimited
- Lecture 29 – z-Transform Examples: Inverse z-Transform through Partial Fraction Expansion Unlimited
- Lecture 30 – z-Transform Examples: LTI System Output, Step/Impulse Response of LTI System Unlimited
- Lecture 31 – z-Transform Examples: Impulse Response of LTI System … Unlimited
- Lecture 32 – Inverse z-Transform Unlimited
- Lecture 33 – Fourier Analysis of Continuous Time Signals and Systems: Introduction Unlimited
- Lecture 34 – Complex Exponential and Trigonometric Fourier Series Unlimited
- Lecture 35 – Conditions for Existence of Fourier Series Unlimited
- Lecture 36 – Introduction to Fourier Transform Unlimited
- Lecture 37 – Properties of Fourier Transforms I Unlimited
- Lecture 38 – Properties of Fourier Transforms II Unlimited
- Lecture 39 – Fourier Transform – Parseval’s Relation Unlimited
- Lecture 40 – Fourier Transform of LTI Systems Unlimited
- Lecture 41 – Fourier Transform – Ideal and Non-ideal Filters Unlimited
- Lecture 42 – Fourier Analysis Examples I Unlimited
- Lecture 43 – Fourier Analysis Examples II Unlimited
- Lecture 44 – Fourier Analysis Examples III Unlimited
- Lecture 45 – Fourier Analysis Examples IV Unlimited
- Lecture 46 – Fourier Analysis Examples V Unlimited
- Lecture 47 – Fourier Analysis Examples VI Unlimited
- Lecture 48 – Fourier Analysis Examples VII Unlimited
- Lecture 49 – Fourier Analysis Examples VIII Unlimited
- Lecture 50 – Fourier Transform Examples: Filtering – Ideal Low Pass Filter Unlimited
- Lecture 51 – Fourier Transform Problems: Unit Step Response of RC Circuit Unlimited
- Lecture 52 – Sampling: Spectrum of Sampled Signal, Nyquist Criterion Unlimited
- Lecture 53 – Sampling: Reconstruction from Sampled Signal Unlimited
- Lecture 54 – Fourier Analysis of Discrete Time Signals and Systems: Introduction Unlimited
- Lecture 55 – Fourier Analysis of Discrete Time Signals and Systems: Duality, … Unlimited
- Lecture 56 – Discrete Time Fourier Transform: Definition, Inverse DTFT, Convergence, etc. Unlimited
- Lecture 57 – Discrete Time Fourier Transform Properties: Linearity, Time Shifting, etc. Unlimited
- Lecture 58 – Discrete Time Fourier Transform Properties: Differentiation in Frequency, etc. Unlimited
- Lecture 59 – Discrete Time Fourier Transform: Discrete Time LTI Systems Unlimited
- Lecture 60 – Discrete Fourier Transform: Definition, Inverse DFT, etc. Unlimited
- Lecture 61 – Discrete Fourier Transform Properties – Conjugation, Frequency Shift, Duality, etc. Unlimited
- Lecture 62 – Example Problems: DFS Analysis of Discrete Time Signals Unlimited
- Lecture 63 – Example Problems: DTFT of Cosine, Unit Step Signals Unlimited
- Lecture 64 – Example Problems: DTFT – Impulse Response Unlimited
- Lecture 65 – Example Problems: DTFT – Sampling Unlimited
- Lecture 66 – Example Problems: DTFT – FIR, Discrete Fourier Transform Unlimited
- Lecture 67 – Example Problems: DFT Unlimited
- Lecture 68 – Example Problems: DFT, IDFT in Matrix form Unlimited
- Lecture 69 – Group/ Phase Delay – Part I Unlimited
- Lecture 70 – Group/ Phase Delay – Part II Unlimited
- Lecture 71 – IIR Filter Structures: Direct Form I, Direct Form II Unlimited
- Lecture 72 – IIR Filter Structures: Transpose Form Unlimited
- Lecture 73 – IIR Filter Structures: Example Unlimited
- Lecture 74 – IIR Filter Structures: Cascade Form Unlimited
- Lecture 75 – IIR Filter Structures: Parallel Form I, Parallel Form II, Examples Unlimited
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