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signal and system the complete guide

  • Course level: Beginner

Description

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

What Will I 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

Topics for this course

203 Lessons

signal and system

Signal basics, examples, representations and definitions in Signals & Systems10:18
System basics, types, examples and representations in Signals & Systems12:04
Classifications of Signals in Signals & Systems00:00:00
Operations on Signal (Shifting of signal, Folding of Signal, Scaling of Signal, Arithmetic operation00:00:00
Examples on Scaling Operations (Amplitude Scaling and Time Scaling)00:00:00
Examples on Signal Operations (Shifting of signal, Folding of Signal, Scaling of Signal, Arithmetic)00:00:00
Unit Step Signal Basics, Function, Graph, Properties and Examples00:00:00
Unit impulse Signal Basics, Function, Graph, Properties and Examples00:00:00
Impulse Function Examples based on Integration00:00:00
Signum Function Basics, Graph & relationship with unit step signal00:00:00
Unit ramp Signal Basics, Function, Graph & relationship with unit step signal00:00:00
Example of Ramp signal based on graph and function00:00:00
Unit Parabolic Signal Basics, Function, Graph & relationship with unit step and unit ramp signal00:00:00
Rectangular Pulse basics, Function, Graph and Examples of Rectangular pulse00:00:00
Sinc function and Sampling function Comparison, basics, Graph and Example00:00:00
Classifications of Signals basics, definition and Conditions00:00:00
Continuous time and discrete time signals00:00:00
Deterministic and Random signal00:00:00
Even and Odd signal00:00:00
Even and Odd components of signal with Example00:00:00
Example of Even and Odd components of signal based on function00:00:00
Example of Even and Odd components of signal based on graph00:00:00
Periodic and Aperiodic Signal00:00:00
Periodicity check by Ratio and GCD method with Example00:00:00
Checking of periodicity for discrete signal with examples00:00:00
Energy and Power signal in Signal and System00:00:00
Example on Energy and Power based on graph00:00:00
Energy and Power of Rectangular pulse and Square waves00:00:00
Energy and Power of Unit step signal and exponential signal00:00:00
Energy and Power of Triangular signal00:00:00
Energy and Power of Exponential signal with positive coefficient00:00:00
Energy and Power of Discrete signal in Signal and System00:00:00
Example of Energy and Power signal00:00:00
Energy of Time scaled Signal00:00:00
Example of Energy and Verification by Parseval’s Energy Theorem00:00:00
Real and Imaginary Signals in Signal and System00:00:00
Classifications of Systems in Signal and System00:00:00
Linear and Nonlinear systems, Classification of Systems00:00:00
Time Variant and Time Invariant system, Classification of Systems00:00:00
Linear Time Variant LTV and Linear Time Invariant LTI systems, Classification of Systems00:00:00
Static and Dynamic system, Classification of Systems00:00:00
Causal and Non Causal Systems, Classification of Systems00:00:00
Examples of Causality check in Signal and System00:00:00
Invertable and Non Invertable systems, Classification of Systems00:00:00
Stable and Unstable systems, Classification of Systems00:00:00
Examples of stability check in Signal and System00:00:00
Impulse Response of the System and relationship of impulse Response with transfer function00:00:00
Convolution basics, functions, formulas and Importance in Signal and System00:00:00
Properties of convolution in Signal and System by Engineering Funda00:00:00
Additional properties of convolution in Signal and System00:00:00
Scaling of convolution in Signal and System00:00:00
Area calculation of convolution with examples00:00:00
Limits of convolution or range of convolution00:00:00
Convolution by slide and shift method00:00:00
Convolution by image method in Signal and System00:00:00
Example of convolution using distributive property00:00:00
Example of convolution in Signal and System00:00:00
Example of convolution based on properties of convolution00:00:00
Example of convolution based on area of convoluted signal and convolution of Ramp signal00:00:00
Linear convolution for discrete signal00:00:00
Circular convolution or periodic convolution00:00:00
Circular convolution by Matrix method00:00:00
Deconvolution of signal00:00:00
Division method for deconvolution00:00:00
Laplace transform basics, Importance, definition and Formula00:00:00
Relation between Laplace transform and Fourier transform00:00:00
Inverse Laplace transform00:00:00
Conditions for existence of Laplace transform00:00:00
Properties of Laplace transform00:00:00
Linearity property of Laplace transform00:00:00
Time shifting property of Laplace transform00:00:00
Frequency shifting property of Laplace transform00:00:00
Time reversal property of Laplace transform00:00:00
Time scaling property of Laplace transform00:00:00
Differentiation and integration properties of Laplace transform00:00:00
Multiplication and convolution properties of Laplace transform00:00:00
Initial value theorem basics, definition, function and example00:00:00
Final value theorem basics, definition, function and example00:00:00
Region of convergence ROC basics, properties and examples in Laplace transform00:00:00
Example on Laplace transform and Region Of Convergence ROC for right sided signal00:00:00
Example on Laplace transform and Region Of Convergence ROC for left sided signal00:00:00
Examples on Laplace transform and Region Of Convergence ROC for exponential signal00:00:00
Examples of Laplace transform and Region Of Convergence ROC00:00:00
Example on Laplace transform and Region Of Convergence ROC for NO ROC00:00:00
Laplace transform and Region Of Convergence ROC for DC signal00:00:00
Laplace transform and Region Of Convergence ROC for signum function00:00:00
Unilateral Laplace transform basics, function, example and comparison with Laplace transform00:00:00
Laplace transform and unilateral Laplace transform for impulse signal using time shifting property00:00:00
Standard signals with their Laplace transform and Region Of Convergence ROC00:00:00
Example of Laplace transform using time shifting property00:00:00
Example of Inverse Laplace transform using time shifting property00:00:00
Example of Laplace transform using frequency shifting property00:00:00
1. Example of inverse Laplace transform00:00:00
2. Examples of inverse Laplace transform00:00:00
1. Impulse response from transfer function using inverse Laplace transform00:00:00
2. Impulse response from transfer function using inverse Laplace transform00:00:00
Impulse response from differential equation using inverse Laplace transform00:00:00
Examples of final value theorem and initial value theorem00:00:00
Unilateral Laplace transform of shifted impulse signal00:00:00
Causality and stability using Laplace transform00:00:00
Causality and stability from differential equation using Laplace transform00:00:00
Laplace transform of shifted Ramp and shifted step signal00:00:00
Z Transform introduction and basics00:00:00
Z transform and Inverse Z transform, Relation of Z transform with discrete Fourier Transform00:00:00
Examples of Z Transform for finite discrete sequence00:00:00
Examples of Inverse Z Transform00:00:00
1. Example of Z Transform for standard basic signal00:00:00
2. Example of Z Transform for standard basic signal00:00:00
3. Example of Z Transform for standard basic signal00:00:00
Z Transform of Unit Step Signal00:00:00
Z Transform of Unit Impulse Signal00:00:00
1. Z Transform of Cosine Signal00:00:00
2. Z Transform of Cosine Signal00:00:00
Z Transform of Fundamental Signals00:00:00
Initial value theorem and Final value theorem in Z Transform00:00:00
Example based on Initial value theorem in Z Transform00:00:00
Example based on Final value theorem in Z Transform00:00:00
Properties of Z Transform00:00:00
Linearity property of Z Transform00:00:00
Time shifting property of Z Transform00:00:00
Time reversal property of Z Transform00:00:00
Scaling property of Z Transform00:00:00
Differentiation property of Z Transform00:00:00
Multiplication and convolution property in Z Transform00:00:00
Region Of Convergence ROC of Z Transform00:00:00
Region Of Convergence ROC of Impulse Function in Z Transform00:00:00
Region Of Convergence ROC of Discrete time sequence in Z Transform00:00:00
Stability and Causality check by Region Of Convergence ROC in Z Transform00:00:00
1. GATE Example of Z Transform00:00:00
2. GATE Example of Z Transform00:00:00
3. GATE Example of Z Transform00:00:00
Example of Z Transform using Differentiation property of Z transform00:00:00
Example of Inverse Z Transform using Differentiation property of Z transform00:00:00
Example of Z Transform using Convolution property of Z Transform00:00:00
Transfer Function and Impulse Response in Z Transform00:00:00
Impulse Response of the system in Z Transform00:00:00
1. Example of Stability and Causality check by Region Of Convergence ROC in Z Transform00:00:00
2. Example of Stability and Causality check by Region Of Convergence ROC in Z Transform00:00:00
Example of Region Of Convergence ROC in Z Transform00:00:00
Example of Region Of Convergence ROC in Z Transform00:00:00
Example of Z Transform using Time Shifting property in Z Transform00:00:00
Stability of system from Characteristic Equation in Z Transform00:00:00
Unilateral Z Transform, basics, examples and Comparison of Unilateral Z Transform & Z transform00:00:00
Long division method for Inverse Z Transform00:00:00
Direct method or partial fraction method to get inverse Z Transform00:00:00
Residue Method to get Inverse Z Transform00:00:00
Fourier Series basics and Fourier Series representation00:00:00
Fourier series coefficient calculation00:00:00
Fourier Series properties00:00:00
Symmetry property of Fourier Series00:00:00
Spectral properties of periodic signal in Fourier series00:00:00
Dirichlet’s Conditions for existence of Fourier Series00:00:00
Trigonometric Fourier Series00:00:00
Exponential Fourier Series00:00:00
Relation between Trigonometric Fourier series and Exponential Fourier Series coefficient00:00:00
Polar form of Fourier Series00:00:00
Example of Fourier Series coefficient00:00:00
Prediction of nature of Fourier Series coefficient00:00:00
Example of Fourier Series with direct form00:00:00
Fourier Series representation using symmetry of signal00:00:00
Example of Fourier Series representation using symmetry of signal00:00:00
Fourier Series of discrete time signal00:00:00
Relation between Trigonometric and Exponential Fourier Series coefficient based on phase angle00:00:00
DC component of Fourier Series00:00:00
Example of DC component of Fourier Series00:00:00
Amplitude of fundamental component and harmonics of signal using Fourier series00:00:00
Fourier transform basics and conditions for existence of Fourier Transform00:00:00
Derivation of Fourier transform equation from Fourier Series00:00:00
Fourier transform of a Rectangular Function Or Gate function00:00:00
Fourier transform of Impulse function00:00:00
Fourier transform of DC signal00:00:00
Fourier transform of Cosine signal00:00:00
Fourier transform of Unit Step signal00:00:00
Fourier Transform of Shifted Unit Step signal00:00:00
Fourier transform of Two Sided Exponential Signal00:00:00
Fourier transform of some standard basic signals00:00:00
Properties of Fourier Transform00:00:00
Linearity property of Fourier Transform [Statement, Proof and Examples]00:00:00
Time shifting property of Fourier Transform [Statement, Proof and Examples]00:00:00
Frequency shifting property of Fourier Transform [Statement, Proof and Examples]00:00:00
Differentiation and Integration properties of Fourier Transform [Statement, Proof and Examples]00:00:00
Time scaling property of Fourier Transform [Statement, Proof and Examples]00:00:00
Multiplication and Convolution properties of Fourier Transform [Statement and Examples]00:00:00
Duality or similarity property of Fourier Transform [Statement and Examples]00:00:00
Examples of Inverse Fourier Transform00:00:00
Example of Fourier Transform based on spectral property00:00:00
Distortion less transmission of signal00:00:00
Hilbert Transform (Basics, Definition, Function and properties)00:00:00
Correlation (Basics, Definition, Function, Types & Importance)00:00:00
Auto correlation of Energy signal (Basics, Definition and Function)00:00:00
Properties of Auto correlation for Energy Signal00:00:00
Property 1 – Auto correction Function for Energy Signal (Property & Proof)00:00:00
Property 2 – Auto correction Function for Energy Signal (Property & Proof)00:00:00
Property 3 – Auto correction Function for Energy Signal (Property & Proof)00:00:00
Property 4 – Auto correction Function for Energy Signal (Property & Proof)00:00:00
Auto correlation for periodic power signal (Basics, Function and Properties)00:00:00
Example of Auto Correlation for Energy signal00:00:00
Example of Auto Correlation for Power signal00:00:00
Cross Correlation of Energy Signals (Basics, Definition, Function and Properties)00:00:00
Cross Correlation of Power Signals (Basics, Definition, Function and Properties)00:00:00
Relation between Input Spectral Density and Output Spectral Density00:00:00
Example of Energy Spectral Density00:00:00
Example of Power from Power Spectral Density00:00:00
80 £

Enrolment validity: Lifetime

Requirements

  • being familiar with electric circuits or have taken RAHEE101
  • Mathematics Skills
  • Knowledge of Differential Equation and Calculus is helpful
  • Basic Calculus
  • basic knowledge about complex numbers