signal and system the complete guide

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About Course

signal and system. One of the most fundamental courses for electrical engineering students, especially communication and control engineering majors, is of course signals and systems.

This course is all about the basics of what signal and system are, and how they are characterized and how can one deal with them systematically. After the general introduction to basics and definitions of signals and systems, gradually starts to build up the powerful tools of manipulating signals mathematically, tools like Fourier series and transform, and Laplace and Z-transform. There is also a very interesting chapter about sampling and modulation, and how can one basically take samples from a continuous signal and prepare it for transmission, via modulation.

Who this course is for:

  1. Electrical Engineers
  2. Engineering Students
  3. Electrical Technicians
  4. Tech Enthusiasts
  5. Electrical Engineering Students
  6. Electrical Engineering Enthusiasts
  7. Computer engineering students
  8. System Engineering Students
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What Will You Learn?

  • Academic Solve of Electrical Engineering systems
  • Analyze and solve system Designs and Problems
  • Good understanding of Continuous Signals
  • Good understanding of Descrete Signals
  • Various types of signals
  • Time-Variance systems
  • Time-invariance systems
  • Systems with memories
  • systems without memories
  • Depth understanding of stability
  • Depth understanding of convolution

About the instructor

Course Curriculum

signal and system

  • Signal basics, examples, representations and definitions in Signals & Systems
    10:18
  • System basics, types, examples and representations in Signals & Systems
    12:04
  • Classifications of Signals in Signals & Systems
    00:00
  • Operations on Signal (Shifting of signal, Folding of Signal, Scaling of Signal, Arithmetic operation
    00:00
  • Examples on Scaling Operations (Amplitude Scaling and Time Scaling)
    00:00
  • Examples on Signal Operations (Shifting of signal, Folding of Signal, Scaling of Signal, Arithmetic)
    00:00
  • Unit Step Signal Basics, Function, Graph, Properties and Examples
    00:00
  • Unit impulse Signal Basics, Function, Graph, Properties and Examples
    00:00
  • Impulse Function Examples based on Integration
    00:00
  • Signum Function Basics, Graph & relationship with unit step signal
    00:00
  • Unit ramp Signal Basics, Function, Graph & relationship with unit step signal
    00:00
  • Example of Ramp signal based on graph and function
    00:00
  • Unit Parabolic Signal Basics, Function, Graph & relationship with unit step and unit ramp signal
    00:00
  • Rectangular Pulse basics, Function, Graph and Examples of Rectangular pulse
    00:00
  • Sinc function and Sampling function Comparison, basics, Graph and Example
    00:00
  • Classifications of Signals basics, definition and Conditions
    00:00
  • Continuous time and discrete time signals
    00:00
  • Deterministic and Random signal
    00:00
  • Even and Odd signal
    00:00
  • Even and Odd components of signal with Example
    00:00
  • Example of Even and Odd components of signal based on function
    00:00
  • Example of Even and Odd components of signal based on graph
    00:00
  • Periodic and Aperiodic Signal
    00:00
  • Periodicity check by Ratio and GCD method with Example
    00:00
  • Checking of periodicity for discrete signal with examples
    00:00
  • Energy and Power signal in Signal and System
    00:00
  • Example on Energy and Power based on graph
    00:00
  • Energy and Power of Rectangular pulse and Square waves
    00:00
  • Energy and Power of Unit step signal and exponential signal
    00:00
  • Energy and Power of Triangular signal
    00:00
  • Energy and Power of Exponential signal with positive coefficient
    00:00
  • Energy and Power of Discrete signal in Signal and System
    00:00
  • Example of Energy and Power signal
    00:00
  • Energy of Time scaled Signal
    00:00
  • Example of Energy and Verification by Parseval’s Energy Theorem
    00:00
  • Real and Imaginary Signals in Signal and System
    00:00
  • Classifications of Systems in Signal and System
    00:00
  • Linear and Nonlinear systems, Classification of Systems
    00:00
  • Time Variant and Time Invariant system, Classification of Systems
    00:00
  • Linear Time Variant LTV and Linear Time Invariant LTI systems, Classification of Systems
    00:00
  • Static and Dynamic system, Classification of Systems
    00:00
  • Causal and Non Causal Systems, Classification of Systems
    00:00
  • Examples of Causality check in Signal and System
    00:00
  • Invertable and Non Invertable systems, Classification of Systems
    00:00
  • Stable and Unstable systems, Classification of Systems
    00:00
  • Examples of stability check in Signal and System
    00:00
  • Impulse Response of the System and relationship of impulse Response with transfer function
    00:00
  • Convolution basics, functions, formulas and Importance in Signal and System
    00:00
  • Properties of convolution in Signal and System by Engineering Funda
    00:00
  • Additional properties of convolution in Signal and System
    00:00
  • Scaling of convolution in Signal and System
    00:00
  • Area calculation of convolution with examples
    00:00
  • Limits of convolution or range of convolution
    00:00
  • Convolution by slide and shift method
    00:00
  • Convolution by image method in Signal and System
    00:00
  • Example of convolution using distributive property
    00:00
  • Example of convolution in Signal and System
    00:00
  • Example of convolution based on properties of convolution
    00:00
  • Example of convolution based on area of convoluted signal and convolution of Ramp signal
    00:00
  • Linear convolution for discrete signal
    00:00
  • Circular convolution or periodic convolution
    00:00
  • Circular convolution by Matrix method
    00:00
  • Deconvolution of signal
    00:00
  • Division method for deconvolution
    00:00
  • Laplace transform basics, Importance, definition and Formula
    00:00
  • Relation between Laplace transform and Fourier transform
    00:00
  • Inverse Laplace transform
    00:00
  • Conditions for existence of Laplace transform
    00:00
  • Properties of Laplace transform
    00:00
  • Linearity property of Laplace transform
    00:00
  • Time shifting property of Laplace transform
    00:00
  • Frequency shifting property of Laplace transform
    00:00
  • Time reversal property of Laplace transform
    00:00
  • Time scaling property of Laplace transform
    00:00
  • Differentiation and integration properties of Laplace transform
    00:00
  • Multiplication and convolution properties of Laplace transform
    00:00
  • Initial value theorem basics, definition, function and example
    00:00
  • Final value theorem basics, definition, function and example
    00:00
  • Region of convergence ROC basics, properties and examples in Laplace transform
    00:00
  • Example on Laplace transform and Region Of Convergence ROC for right sided signal
    00:00
  • Example on Laplace transform and Region Of Convergence ROC for left sided signal
    00:00
  • Examples on Laplace transform and Region Of Convergence ROC for exponential signal
    00:00
  • Examples of Laplace transform and Region Of Convergence ROC
    00:00
  • Example on Laplace transform and Region Of Convergence ROC for NO ROC
    00:00
  • Laplace transform and Region Of Convergence ROC for DC signal
    00:00
  • Laplace transform and Region Of Convergence ROC for signum function
    00:00
  • Unilateral Laplace transform basics, function, example and comparison with Laplace transform
    00:00
  • Laplace transform and unilateral Laplace transform for impulse signal using time shifting property
    00:00
  • Standard signals with their Laplace transform and Region Of Convergence ROC
    00:00
  • Example of Laplace transform using time shifting property
    00:00
  • Example of Inverse Laplace transform using time shifting property
    00:00
  • Example of Laplace transform using frequency shifting property
    00:00
  • 1. Example of inverse Laplace transform
    00:00
  • 2. Examples of inverse Laplace transform
    00:00
  • 1. Impulse response from transfer function using inverse Laplace transform
    00:00
  • 2. Impulse response from transfer function using inverse Laplace transform
    00:00
  • Impulse response from differential equation using inverse Laplace transform
    00:00
  • Examples of final value theorem and initial value theorem
    00:00
  • Unilateral Laplace transform of shifted impulse signal
    00:00
  • Causality and stability using Laplace transform
    00:00
  • Causality and stability from differential equation using Laplace transform
    00:00
  • Laplace transform of shifted Ramp and shifted step signal
    00:00
  • Z Transform introduction and basics
    00:00
  • Z transform and Inverse Z transform, Relation of Z transform with discrete Fourier Transform
    00:00
  • Examples of Z Transform for finite discrete sequence
    00:00
  • Examples of Inverse Z Transform
    00:00
  • 1. Example of Z Transform for standard basic signal
    00:00
  • 2. Example of Z Transform for standard basic signal
    00:00
  • 3. Example of Z Transform for standard basic signal
    00:00
  • Z Transform of Unit Step Signal
    00:00
  • Z Transform of Unit Impulse Signal
    00:00
  • 1. Z Transform of Cosine Signal
    00:00
  • 2. Z Transform of Cosine Signal
    00:00
  • Z Transform of Fundamental Signals
    00:00
  • Initial value theorem and Final value theorem in Z Transform
    00:00
  • Example based on Initial value theorem in Z Transform
    00:00
  • Example based on Final value theorem in Z Transform
    00:00
  • Properties of Z Transform
    00:00
  • Linearity property of Z Transform
    00:00
  • Time shifting property of Z Transform
    00:00
  • Time reversal property of Z Transform
    00:00
  • Scaling property of Z Transform
    00:00
  • Differentiation property of Z Transform
    00:00
  • Multiplication and convolution property in Z Transform
    00:00
  • Region Of Convergence ROC of Z Transform
    00:00
  • Region Of Convergence ROC of Impulse Function in Z Transform
    00:00
  • Region Of Convergence ROC of Discrete time sequence in Z Transform
    00:00
  • Stability and Causality check by Region Of Convergence ROC in Z Transform
    00:00
  • 1. GATE Example of Z Transform
    00:00
  • 2. GATE Example of Z Transform
    00:00
  • 3. GATE Example of Z Transform
    00:00
  • Example of Z Transform using Differentiation property of Z transform
    00:00
  • Example of Inverse Z Transform using Differentiation property of Z transform
    00:00
  • Example of Z Transform using Convolution property of Z Transform
    00:00
  • Transfer Function and Impulse Response in Z Transform
    00:00
  • Impulse Response of the system in Z Transform
    00:00
  • 1. Example of Stability and Causality check by Region Of Convergence ROC in Z Transform
    00:00
  • 2. Example of Stability and Causality check by Region Of Convergence ROC in Z Transform
    00:00
  • Example of Region Of Convergence ROC in Z Transform
    00:00
  • Example of Region Of Convergence ROC in Z Transform
    00:00
  • Example of Z Transform using Time Shifting property in Z Transform
    00:00
  • Stability of system from Characteristic Equation in Z Transform
    00:00
  • Unilateral Z Transform, basics, examples and Comparison of Unilateral Z Transform & Z transform
    00:00
  • Long division method for Inverse Z Transform
    00:00
  • Direct method or partial fraction method to get inverse Z Transform
    00:00
  • Residue Method to get Inverse Z Transform
    00:00
  • Fourier Series basics and Fourier Series representation
    00:00
  • Fourier series coefficient calculation
    00:00
  • Fourier Series properties
    00:00
  • Symmetry property of Fourier Series
    00:00
  • Spectral properties of periodic signal in Fourier series
    00:00
  • Dirichlet’s Conditions for existence of Fourier Series
    00:00
  • Trigonometric Fourier Series
    00:00
  • Exponential Fourier Series
    00:00
  • Relation between Trigonometric Fourier series and Exponential Fourier Series coefficient
    00:00
  • Polar form of Fourier Series
    00:00
  • Example of Fourier Series coefficient
    00:00
  • Prediction of nature of Fourier Series coefficient
    00:00
  • Example of Fourier Series with direct form
    00:00
  • Fourier Series representation using symmetry of signal
    00:00
  • Example of Fourier Series representation using symmetry of signal
    00:00
  • Fourier Series of discrete time signal
    00:00
  • Relation between Trigonometric and Exponential Fourier Series coefficient based on phase angle
    00:00
  • DC component of Fourier Series
    00:00
  • Example of DC component of Fourier Series
    00:00
  • Amplitude of fundamental component and harmonics of signal using Fourier series
    00:00
  • Fourier transform basics and conditions for existence of Fourier Transform
    00:00
  • Derivation of Fourier transform equation from Fourier Series
    00:00
  • Fourier transform of a Rectangular Function Or Gate function
    00:00
  • Fourier transform of Impulse function
    00:00
  • Fourier transform of DC signal
    00:00
  • Fourier transform of Cosine signal
    00:00
  • Fourier transform of Unit Step signal
    00:00
  • Fourier Transform of Shifted Unit Step signal
    00:00
  • Fourier transform of Two Sided Exponential Signal
    00:00
  • Fourier transform of some standard basic signals
    00:00
  • Properties of Fourier Transform
    00:00
  • Linearity property of Fourier Transform [Statement, Proof and Examples]
    00:00
  • Time shifting property of Fourier Transform [Statement, Proof and Examples]
    00:00
  • Frequency shifting property of Fourier Transform [Statement, Proof and Examples]
    00:00
  • Differentiation and Integration properties of Fourier Transform [Statement, Proof and Examples]
    00:00
  • Time scaling property of Fourier Transform [Statement, Proof and Examples]
    00:00
  • Multiplication and Convolution properties of Fourier Transform [Statement and Examples]
    00:00
  • Duality or similarity property of Fourier Transform [Statement and Examples]
    00:00
  • Examples of Inverse Fourier Transform
    00:00
  • Example of Fourier Transform based on spectral property
    00:00
  • Distortion less transmission of signal
    00:00
  • Hilbert Transform (Basics, Definition, Function and properties)
    00:00
  • Correlation (Basics, Definition, Function, Types & Importance)
    00:00
  • Auto correlation of Energy signal (Basics, Definition and Function)
    00:00
  • Properties of Auto correlation for Energy Signal
    00:00
  • Property 1 – Auto correction Function for Energy Signal (Property & Proof)
    00:00
  • Property 2 – Auto correction Function for Energy Signal (Property & Proof)
    00:00
  • Property 3 – Auto correction Function for Energy Signal (Property & Proof)
    00:00
  • Property 4 – Auto correction Function for Energy Signal (Property & Proof)
    00:00
  • Auto correlation for periodic power signal (Basics, Function and Properties)
    00:00
  • Example of Auto Correlation for Energy signal
    00:00
  • Example of Auto Correlation for Power signal
    00:00
  • Cross Correlation of Energy Signals (Basics, Definition, Function and Properties)
    00:00
  • Cross Correlation of Power Signals (Basics, Definition, Function and Properties)
    00:00
  • Relation between Input Spectral Density and Output Spectral Density
    00:00
  • Example of Energy Spectral Density
    00:00
  • Example of Power from Power Spectral Density
    00:00

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