Dynamics of Linear Systems

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DYNAMICS OF LINEAR 3131705
FREE PDF 3131705
Code: 3131705 Credits: 5 Semester 3 EIE

Dynamics of Linear Systems

Get the full GTU study material, English & Gujarati textbook PDFs, syllabus curriculum, and solved previous year question papers.

Dynamics of Linear Systems Syllabus — Unit-wise Content

The official GTU curriculum for Dynamics of Linear Systems (subject code 3131705) as prescribed for EIE · Semester 3 divides the course into 7 units, covering 40 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.

Download the official syllabus PDF (3131705)

Unit 1 Classification of Signals and Systems

5 lecture hours

  • Introduction to signals and systems: Continuous Time (CT) and Discrete Time (DT) signals
  • Periodic and Aperiodic signals
  • Even and Odd signals
  • Energy and Power signals
  • Deterministic and Random signals
  • Standard signals: Impulse
  • Real and Complex exponential and Sinusoidal
  • Classification of systems: CT and DT, Memory and Memoryless
  • Casual and Noncasual
  • Stable and Unstable
  • Time-variant and Time-invariant
  • Linear and Non linear systems

Unit 2 Linear Time Invariant (LTI) systems

7 lecture hours

  • Discrete time LTI systems
  • Continuous time LTI systems
  • Properties of LTI systems

Unit 3 Fourier Series Representation of Periodic Signals

9 lecture hours

  • A historical perspective
  • The response of LTI systems to complex exponentials
  • Fourier series representation of continuous time periodic signals and discrete time periodic signals
  • Properties of CT Fourier series and DT Fourier series
  • Fourier series and LTI systems
  • Examples of CT filters described by differential equations

Unit 4 The Continuous Time Fourier Transform (CTFT)

  • Representation of aperiodic signals – CTFT
  • Fourier transform for periodic 8 INSTRUMENTATION & CONTROL ENGINEERING (17) Subject Code: 3131705 w.e.f
  • AY 2018-19 signals
  • Properties of CTFT
  • Convolution property

Unit 5 The Discrete Time Fourier Transform (DTFT)

8 lecture hours

  • Representation of aperiodic signals
  • Fourier transform for periodic signals
  • Properties of DTFT
  • Convolution property

Unit 6 The Laplace Transform (Review)

3 lecture hours

  • Region of convergence (ROC)
  • Inverse Laplace transform
  • Properties of the Laplace transform
  • Analysis and characterization of LTI systems using the Laplace transform: Causality

Unit 7 The Z-Transform

8 lecture hours

  • Region of convergence (ROC)
  • Inverse z-transform
  • Geometric evaluation of the Fourier transform from the pole-zero plot of First order and Second order systems
  • Properties of the Z-transform
  • Analysis and characterization of LTI systems using Z-transform
  • System function algebra and block diagram representations

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