Signals and Systems (Engineering Funda)

About this course

Signals and systems for GATE, ESE and university exams in more than a hundred short lessons with solved examples, from standard signals to the Laplace, Z and Fourier transforms. Taught in English. Who it's for: Electronics and electrical engineering students, and GATE and ESE aspirants. These are the free, official videos of the "Signals and Systems" playlist from the Engineering Funda YouTube channel (youtube.com/@engineeringfunda). All videos belong to Engineering Funda. Neither Circuit Logic GATE Classes nor Sikhami is affiliated with Engineering Funda; the public playlist is arranged here as a course, so you can learn one lesson at a time and keep track of your progress.

What you will learn

• Standard signals, periodicity, and energy and power signals • System properties, LTI systems and impulse response • Convolution, including circular convolution • The Laplace transform and its properties • The Z-transform: the ROC, causality and stability • Fourier series, the Fourier transform, and correlation

Course content

1 section · 117 lectures · 22h 34m

1. 1. Signals and Systems

   • Signals and Systems by Engineering Funda5m
   • Signals & Systems Trailer2m
   • How to Access all the Courses of Engineering Funda?8m
   • Introduction to Signals Explained: Basics, Examples, Representation, and Applications8m
   • Classifications of Signals Explained: Continuous/Discrete, Even/Odd, Periodic/Aperiodic, Energy/Powe14m
   • Standard Signals Explained: Impulse, Step, Ramp, Parabolic, Signum, Rectangular, Sinc & Sampling21m
   • Operations on Signal Explained: Time Shifting, Time Folding, Time Scaling & Arithmetic Operations18m
   • Operations on Signal Solved Examples: Time Shifting, Time Folding, Time Scaling & Arithmetic18m
   • Plot Signal from given Function Solved Examples: Steps, Process, and Solutions11m
   • Even and Odd Components of Signal Solved Examples: Steps, Process, and Solutions14m
   • Periodicity of Signals Basics and Solved Examples15m
   • Energy and Power of Signal from Waveforms Explained: Basics and Solved Examples14m
   • Energy and Power of Step & Exponential Signal Solved Examples13m
   • Energy and Power of Discrete Signal: Basics and Solved Examples8m
   • Energy and Power Signals Solved Examples: Steps, Process, and Solutions16m
   • Energy of Time Scaled Signal & Energy Verification by Parseval' Theorem: Solved Examples9m
   • Introduction to Systems Explained: Basics, Elements, Examples, Types, and Applications10m
   • Classifications of Systems: Linearity, Time Variant, Causality, Stability, and Invertibility14m
   • Linear and Non Linear System Solved Examples: Basics, Steps, Calculations, and Solutions9m
   • Time Invariant and Time Variant Systems Solved Examples: Basics, Steps, Calculations, and Solutions9m
   • LTI and LTV Systems Solved Examples: Basics, Steps, Calculations, and Solutions8m
   • Static and Dynamic Systems Solved Examples: Basics, Steps, Calculations, and Solutions5m
   • Causal and Non-Causal Systems Solved Examples: Basics, Steps, Calculations, and Solutions12m
   • Invertible and Non-Invertible Systems Explained: Basics, Differences, Applications, and Examples9m
   • Stable and Unstable Systems Solved Examples: Basics, Steps, Calculations, and Solutions10m
   • Impulse Response of Systems Explained: Basics, Parameters, and Solved Examples15m
   • Convolution Explained: Basics, Formulas, Properties, and Examples14m
   • Limits of Convolution & Area of Convoluted Signal Solved Examples7m
   • Convolution of Continuous Time Signals Solved Example9m
   • Convolution by Slide and Shift Method Solved Examples9m
   • Convolution by Image Method Solved Example10m
   • Convolution Solved Examples: Properties, Basics, and Step by Step Guide12m
   • Area of Convoluted Signal Solved Example10m
   • Linear Convolution of Discrete Signals Solved Examples11m
   • Circular Convolution of Discrete Signals Solved Examples9m
   • Circular Convolution by Matrix Method Solved Examples11m
   • Deconvolution Solved Examples: Long Division Method and Conventional Method13m
   • Laplace Transform Explained: Basics, System Output, and Applications13m
   • Laplace Transform & Fourier Transform: Comparison and Relationship11m
   • Inverse Laplace Transform & Conditions for Existence of Laplace Transform9m
   • Properties of Laplace Transform: Linearity, Time Shifting, Frequency Shifting, Time Reversal Etc.6m
   • Proof of Properties of Laplace Transform: Linearity, Time & Frequency Shifting, Time Reversal Etc.15m
   • ROC in Laplace Transform Explained: Basics, Properties, and Stability12m
   • 1. ROC & Laplace Transform Solved Examples: Step by Step Solutions13m
   • 2. ROC & Laplace Transform Solved Examples: Step by Step Solutions17m
   • Unilateral Laplace Transform Explained: Basics and Solved Examples9m
   • Laplace Transform of Standard Signals9m
   • 1. Laplace Transform Solved Examples: Step by Step Solutions14m
   • 2. Laplace Transform Solved Examples: Step by Step Solutions9m
   • Impulse Response Solved Examples: Step by Step Solutions13m
   • 3. Laplace Transform Solved Examples: Step by Step Solutions16m
   • Initial and Final Value Theorem: Basics, Conditions, and Solved Examples15m
   • Initial and Final Value Theorem Solved Examples: Rules, Procedure, and Step by Step Solutions9m
   • 4. Laplace Transform Solved Examples: Step by Step Solutions24m
   • 5. Laplace Transform Solved Examples: Step by Step Solutions12m
   • Introduction to Z Transform: Basics, Properties, Relation with DTFT, Inverse ZT & Applications15m
   • Z Transform of Finite Discrete Sequence Solved Examples7m
   • Inverse Z Transform Solved Examples: Step by Step Solutions6m
   • 1. Z Transform of Standard Signals Solved Examples12m
   • 2. Z Transform of Standard Signals Solved Examples18m
   • Z Transform of Standard Signals Explained: Impulse, Step, Exponential, Sine and Cosine Functions8m
   • Initial and Final Value Theorem in Z Transform: Basics and Solved Examples12m
   • Properties of Z Transform Explained: Basics, Proof and Solved Examples27m
   • ROC of Z Transform Explained: Basics, Case Studies, Solved Examples, and Stability Identification16m
   • ROC and Z Transform Solved Examples: Step by Step Solutions11m
   • Causality and Stability from ROC & Z Transform: Basics and Solved Examples17m
   • Long Division Method for Inverse Z Transform: Basics and Solved Examples14m
   • Direct Method or Partial Fraction Method for Inverse Z Transform Solved Examples16m
   • Residue Method for Inverse Z Transform Solved Examples14m
   • ROC and Z Transform Solved Examples: Step by Step Solutions19m
   • Properties of Z Transform Solved Examples: Step by Step Solutions15m
   • Convolution Property of Z Transform Solved Example10m
   • Transfer Function & Impulse Response by Z Transform Solved Examples12m
   • Comparison of Fourier Series & Fourier Transform8m
   • Fourier Series Coefficient Derivation5m
   • Types of Fourier Series: Exponential, Trigonometric, and Polar Fourier Series6m
   • Properties of Fourier Series Explained: Linearity, Time & Frequency Shifting, Scaling, Symmetry Etc.15m
   • Relation between Trigonometric & Exponential Fourier Series Coefficients11m
   • Fourier Series Coefficients Solved Examples12m
   • Fourier Series Coefficients from Symmetry: Basics and Solved Examples13m
   • Fourier Series Solved Examples: Step by Step Solutions16m
   • DC Component of Fourier Series Solved Examples: Step by Step Solutions7m
   • Fundamental Component & Harmonics of Fourier Series Solved Examples: Step by Step Solutions9m
   • 1. Trigonometric Fourier Series Solved Examples: Step by Step Solutions19m
   • 2. Trigonometric Fourier Series Solved Examples: Step by Step Solutions13m
   • 1. Exponential Fourier Series Solved Example: Step by Step Solutions7m
   • 2. Exponential Fourier Series Solved Example: Step by Step Solutions14m
   • Introduction to Fourier Transform: Basics, Conditions for Existence, and Applications6m
   • Derivation of Inverse Fourier Transform using Fourier Series8m
   • Fourier Transform of Rectangular Pulse: Step by Step Solutions6m
   • Fourier Transform of Impulse Signal: Step by Step Solutions4m
   • Fourier Transform of DC Signal: Step by Step Solutions5m
   • Fourier Transform of Cosine Signal: Step by Step Solutions9m
   • Fourier Transform of Unit Step Signal: Step by Step Solutions6m
   • Fourier Transform of Shifted Unit Step Signal: Step by Step Solutions7m
   • Fourier Transform of Two Sided Exponential Signal: Step by Step Solutions7m
   • Fourier Transform of Standard Signals8m
   • Properties of Fourier Transform9m
   • Linearity Property of Fourier Transform: Statement, Proof, and Solved Examples9m
   • Time Shifting Property of Fourier Transform: Statement, Proof, and Solved Examples9m
   • Frequency Shifting Property of Fourier Transform: Statement, Proof, and Solved Example6m
   • Differentiation & Integration Properties of Fourier Transform: Statement, Proof, and Solved Example10m
   • Time Scaling Property of Fourier Transform: Statement, Proof, and Solved Examples8m
   • Multiplication & Convolution Properties of Fourier Transform Solved Examples6m
   • Duality Property of Fourier Transform: Statement and Solved Examples6m
   • Inverse Fourier Transform Solved Examples: Step by Step Solutions10m
   • Distortion Less Transmission of Signal: Magnitude and Phase Response9m
   • Fourier Transform Solved Examples: Step by Step Solutions15m
   • Correlation of Signals: Basics, Types, Relation & Comparison with Convolution, Applications etc.18m
   • Properties of Correlation of Signals: Cross Correlation and Auto Correlation Properties8m
   • Proof of Properties of Correlation of Signals: Step by Step Derivation13m
   • Correlation Solved Examples: Step by Step Solution10m
   • 1. Auto Correlation Solved Example: Step by Step Solution9m
   • 2. Auto Correlation Solved Example: Step by Step Solution10m
   • 3. Auto Correlation Solved Example: Step by Step Solution6m
   • Correlation Solved Example: Step by Step Solution6m
   • Parseval's Theorem for Energy Signals: Energy Spectral Density and Solved Example12m