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EX-302 · Signals and Systems/Official Syllabus

Signals and Systems (EX-302) - Official Syllabus

1
Unit 1

Classification of signals and systems

  • Continuous time signals (CT signals)
  • Discrete time signals (DT signals)
  • Step, ramp, pulse, impulse, sinusoidal and exponential signals
  • basic operations on signals
  • classifications of CT and DT signals- Periodic and aperiodic signals
  • energy and power signals
  • random signals
  • CT systems and DT systems
  • basic properties of systems
  • linear time invariant systems and properties
2
Unit 2

Analysis of continuous time signals

  • Time and frequency domain analysis
  • Fourier series analysis
  • spectrum of CT signals
  • Fourier transform and Laplace transform
  • region of convergence
  • wavelet transform
3
Unit 3

Linear time invariant continuous time systems

  • Differential equations representation
  • block diagram representation
  • state variable representation and matrix representation of systems
  • impulse response
  • step response
  • frequency response
  • relizability of systems
  • analog filters
4
Unit 4

Analysis of discrete time signals

  • Convolution sum and properties
  • sampling of CT signals and aliasing
  • DTFT and properties
  • Z transform and properties
  • inverse Z transform
5
Unit 5

Linear time invariant discrete time systems

  • Difference equations
  • block diagram representation
  • impulse response
  • analysis of DT LTI systems using DTFT and Z transform
  • state variable equations and matrix representation of systems
  • Digital filters

Reference Books

  • Signals and Systems — Alan V. Oppenheim, Alan S. Willsky, S Hamid Nawab — Pearson New International Edition — 2nd edition 2015
  • Signals and Systems — A. Anand Kumar — PHI — III edition, 2015
  • Signals and Systems — Mahmood Nahvi — McGraw Hill
  • Signals and Systems — Simon Haykins, Barry Van Veen — Wiley India
  • Signals and Systems — A. Nagoor Kani — McGraw Hill
  • Signals & Linear Systems — Robert A. Gabel, Richard A.Roberts — Wiley
  • Signals & systems — Rodger E. Ziemer, William H. Tranter, D. Ronald Fannin — Pearson Education
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