# InfoCoBuild

## Principles of Signals and Systems

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)

 Introduction to Signals and Systems

 Lecture 01 - Introduction to Signals and Systems, Signal Classification Lecture 02 - Analog and Digital Signals Lecture 03 - Energy and Power Signals Lecture 04 - Real Exponential Signals Lecture 05 - Memory/Memoryless and Causal/Non-Causal Systems Lecture 06 - Properties of Linear Systems Lecture 07 - Example Problems - Plot, Odd/ Even Components, Periodicity Lecture 08 - Example Problems - Energy, Properties of Impulse, RL Circuit Lecture 09 - Example Problems - Properties of Modulator, Eigenfunction of LTI System Lecture 10 - Properties and Analysis of LTI Systems I Lecture 11 - Properties and Analysis of LTI Systems II Lecture 12 - Properties and Analysis of LTI Systems III Lecture 13 - Properties of Discrete Time LTI Systems Lecture 14 - Example Problems: LTI Systems - Convolution, Periodic Convolution, BIBO Stability Lecture 15 - Example Problems: LTI Systems - Eigenfunction, etc. Lecture 16 - Example Problems: Discrete Time LTI Systems - Output of System, etc. Lecture 17 - Laplace Transform Lecture 18 - Properties of Laplace Transform: Time Shifting Property, etc. Lecture 19 - Properties of Laplace Transform: Convolution, Rational Function Lecture 20 - Laplace Transform of LTI Systems Lecture 21 - Laplace Transform Example Problems I Lecture 22 - Laplace Transform Example Problems II Lecture 23 - Laplace Transform of RL, RC Circuits Lecture 24 - z-Transform Lecture 25 - z-Transform Properties I Lecture 26 - z-Transform Properties II Lecture 27 - z-Transform of LTI Systems Lecture 28 - z-Transform Examples: Evaluation of z-Transform, Region of Convergence Lecture 29 - z-Transform Examples: Inverse z-Transform through Partial Fraction Expansion Lecture 30 - z-Transform Examples: LTI System Output, Step/Impulse Response of LTI System Lecture 31 - z-Transform Examples: Impulse Response of LTI System described by Difference Equation Lecture 32 - Inverse z-Transform Lecture 33 - Fourier Analysis of Continuous Time Signals and Systems: Introduction Lecture 34 - Complex Exponential and Trigonometric Fourier Series Lecture 35 - Conditions for Existence of Fourier Series Lecture 36 - Introduction to Fourier Transform Lecture 37 - Properties of Fourier Transforms I Lecture 38 - Properties of Fourier Transforms II Lecture 39 - Fourier Transform - Parseval's Relation Lecture 40 - Fourier Transform of LTI Systems Lecture 41 - Fourier Transform - Ideal and Non-ideal Filters Lecture 42 - Fourier Analysis Examples I Lecture 43 - Fourier Analysis Examples II Lecture 44 - Fourier Analysis Examples III Lecture 45 - Fourier Analysis Examples IV Lecture 46 - Fourier Analysis Examples V Lecture 47 - Fourier Analysis Examples VI Lecture 48 - Fourier Analysis Examples VII Lecture 49 - Fourier Analysis Examples VIII Lecture 50 - Fourier Transform Examples: Filtering - Ideal Low Pass Filter Lecture 51 - Fourier Transform Problems: Unit Step Response of RC Circuit Lecture 52 - Sampling: Spectrum of Sampled Signal, Nyquist Criterion Lecture 53 - Sampling: Reconstruction from Sampled Signal Lecture 54 - Fourier Analysis of Discrete Time Signals and Systems: Introduction Lecture 55 - Fourier Analysis of Discrete Time Signals and Systems: Duality, Parseval's Theorem Lecture 56 - Discrete Time Fourier Transform: Definition, Inverse DTFT, Convergence, etc. Lecture 57 - Discrete Time Fourier Transform Properties: Linearity, Time Shifting, etc. Lecture 58 - Discrete Time Fourier Transform Properties: Differentiation in Frequency, etc. Lecture 59 - Discrete Time Fourier Transform: Discrete Time LTI Systems Lecture 60 - Discrete Fourier Transform: Definition, Inverse DFT, etc. Lecture 61 - Discrete Fourier Transform Properties - Conjugation, Frequency Shift, Duality, etc. Lecture 62 - Example Problems: DFS Analysis of Discrete Time Signals Lecture 63 - Example Problems: DTFT of Cosine, Unit Step Signals Lecture 64 - Example Problems: DTFT - Impulse Response Lecture 65 - Example Problems: DTFT - Sampling Lecture 66 - Example Problems: DTFT - FIR, Discrete Fourier Transform Lecture 67 - Example Problems: DFT Lecture 68 - Example Problems: DFT, IDFT in Matrix form Lecture 69 - Group/ Phase Delay - Part I Lecture 70 - Group/ Phase Delay - Part II Lecture 71 - IIR Filter Structures: Direct Form I, Direct Form II Lecture 72 - IIR Filter Structures: Transpose Form Lecture 73 - IIR Filter Structures: Example Lecture 74 - IIR Filter Structures: Cascade Form Lecture 75 - IIR Filter Structures: Parallel Form I, Parallel Form II, Examples

 References 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.