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Signals And Systems - That Will Break Your Fear
Rating: 4.6 out of 5(3 ratings)
45 students

Signals And Systems - That Will Break Your Fear

You Can Master Advanced Subjects Like Control Systems, Communication Systems, Signal Processing & Robotics
Created byAmarender Reddy Byreddy
Last updated 8/2020
English

What you'll learn

  • Understand continuous-time signals and discrete-time signals and their classification.
  • Basic Signal Operations: Addition, Subtraction, Shifting, Scaling, Time Reversal
  • Understand System properties – importance of superposition in the analysis of Linear system, Time invariance , presence or absence of memory, Causality, bounded-input bounded-output Stability and Invertibility
  • Will be able explain the role of convolution in the analysis of linear time invariant systems, and use convolution to determine the response of linear systems
  • Understand and resolve the signals in frequency domain using Fourier series and Fourier transforms
  • Be able to use the properties of the Fourier transforms to compute the Fourier transform and its inverse for a broader class of signals
  • Understand the relationship between the stability and causality of systems and the region of convergence of their Laplace transforms
  • Use Laplace transforms to solve differential equations, and to determine the response of linear systems to known inputs
  • Apply the Z- transform for analyze of discrete-time signals and systems

Course content

5 sections • 35 lectures • 5h 43m total length

  • Introduction19:35

    In this lecture you will know the basic definition of Signal and the introduction of contents.

    Signals : A signal is a description of how one parameter varies with another parameter. For instance, voltage changing over time in an electronic circuit, or brightness varying with distance in an image.


  • UNIT STEP FUNCTION & ITS PROPERTIES19:54

    In this lecture you will know about continuous time signals, discrete time signals and digital signals.

    You will know about important signal which is Unit step signal and its properties.

  • GATE FUNCTION, IMPULSE FUNCTION AND ITS PROPERTIES18:30
  • DOUBLET, RAMP FUNCTION, TRIANGULAR FUNCTION15:19

    In this lecture you will know about Doublet, Ramp function, relation between ramp function & step function also between step function & impulse function

    You will also know about triangular function.

  • EXPONENTIAL FUNCTION AND SOME IMPORTANT PROBLEMS14:09

    In this lecture you will learn about Singularity function, Real Exponential function, Complex Sinusoids, Complex Exponential functions and Eigen Functions

  • UNIT STEP SEQUENCE AND UNIT IMPULSE SEQUENCE11:52

    In this lecture you will learn unit step sequence and unit ramp sequence

  • Quiz 1
  • OPERATIONS ON SIGNALS18:46

    In this lecture you will learn about operations / transformations on signals  - Time Shifting and Time Scaling operations are explained with examples

  • TIME REVERSAL OPERATION6:00

    In this lecture you will learn about Time Reversal / Time Inversion operation and some beautiful problems on this operation.

  • THREE OPERATIONS SIMULTANEOUSLY ON A SIGNAL16:27

    * In this lecture you will learn how to apply three operations (T.Shifting, T.Scaling & T.Reversal ) on a signal.

    * This can be done in either ways moving from Right to Left (or) from Left to Right

    ***** IMPORTANT NOTE : WHILE SOLVING FROM LEFT TO RIGHT TAKING 't' Coefficient common is Mandatory

  • PROBLEM ON OPERATION ON A SIGNAL9:33

    In this lecture you will learn how to find the original signal, if three operations on a signal applied is given.

  • GRAPHICAL REPRESENTATION OF A SIGNAL GIVEN4:35

    In this lecture you will know how to plot a signal graphically

  • PROBLEM3:14

    In this lecture you will know how to plot a signal graphically

  • PROBLEM5:50

    In this lecture you will know how to write a signal in functional form for  a signal given graphically

  • PROBLEM4:22

    In this lecture you will know how to write a signal in functional form for  a signal given graphically

  • PROBLEM3:15

    In this lecture you will know how to write a signal in functional form for  a signal given graphically

  • PROBLEM2:35

    In this lecture you will know how to plot a signal in functional form for  a signal given

  • SCALING OF A DISCRETE SIGNAL10:31

    In this lecture you will learn decimation and interpolation of a discrete signal given.

  • PROBLEMS ON OPERATION OF SIGNALS16:46

    In this lecture you will learn time scaling, time reversal and time shifting operations on a discrete signal

Requirements

  • Basic mathematical knowledge

Description

DO YOU WANT TO LEARN FROM BASICS ?

DO YOU WANT TO LEARN MORE NUMERICALS ?

DO YOU WANT TO ANALYZE CONCEPTS WITH BEAUTIFUL EXAMPLE PROBLEMS ?

DO YOU WANT TO CHECK HOW MUCH CONTENT YOU HAVE GRASPED AFTER EACH LECTURE ?

DO YOU WANT TO PRACTICE MORE ASSIGNMENTS ?

DO YOU WANT TO SOLVE QUIZ QUESTIONS AFTER LEARNING EVERY TOPIC ?


THEN MY DEAR STUDENTS THIS COURSE IS THE ONE STOP SOLUTION FOR ALL THE ABOVE QUESTIONS.


“Signals and systems” is the basis of all control and signal processing engineering. It will allow you to take a real world machine, process (the system) and create a mathematical model, at which we apply stimuli and analyze it's response (stimuli and response being signals).

Examples of systems that manipulate signals are speech recognition, video streaming, cellular networks and medical scans such as MRI. The disciplines of signal and image processing are concerned with the analysis and synthesis of signals and their interaction with systems.

Students will

  • Be able to describe signals mathematically

  • Understand mathematical description and representation of continuous and discrete time signals

  • Be familiar with commonly used signals such as the unit step, ramp, impulse function, sinusoidal signals and complex exponential

  • Understand how to perform mathematical operations on signals

  • Be able to classify signals as continuous-time Vs. discrete-time, periodic Vs. non-periodic, energy signal Vs. power signal, odd Vs. even, causal Vs. non- causal signals

  • Understand system properties - linearity, time in variance, presence or absence of memory, causality, bounded-input bounded-output stability and invertibility

  • Be able to perform the process of convolution between signals and understand its implication for analysis of linear time-invariant systems. Understand the notion of an impulse response

  • Development of the mathematical skills to solve problems involving convolution

  • Understand and resolve the signals in frequency domain using Fourier series and Fourier transforms Further, be able to use the properties of the Fourier transform to compute the Fourier transform (and its inverse) for a broader class of signals

  • Understand the limitations of Fourier transform and need for Laplace transform and develop the ability to analyze the system in s- domain

  • Apply the Laplace transform and Z- transform for analyze of continuous-time and discrete-time signals and system

Who this course is for:

  • GATE, ESE aspirants
  • Under Graduate students
  • Students preparing for Competitive exams
  • Any student enthusiastic to learn fundamental subject for Communication Engineering
  • Further useful in subjects like Control systems, Signal Processing and Robotics

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