Signals and systems

This course focuses on the analysis and classification of various signals and systems. The lessons below provide the background information and basic procedures necessary to begin manipulating and understanding signals. The terminology used here is necessary to understand for most signal processing courses.

Lessons

• Signals and Systems
  • Continuous-time signals
  • Discrete-time signals
  • Exponential signals
  • Sinusoidal signals
  • Unit step function
  • Unit impulse function
  • Continuous-time systems
  • Discrete-time systems
  • System properties

• Linear time-invariant systems
  • Continuous-time LTI systems
  • Discrete-time LTI systems
  • Properties of LTI systems
  • Singularity functions

• Fourier series
  • CT Fourier series
  • DT Fourier series
  • Orthogonal representation of signals
  • Exponential fourier series
  • Trigonometric fourier series
  • Dirichlet conditions
  • Properties of fouries series
    • Least squares approximation property
    • Parseval's theorem
  • Gibbs phenomenon

• Fourier transform
  • CT Fourier transform
  • DT Fourier transform
  • Properties of Fourier transform
    • Energy of aperiodic signals
    • Duality in Fourier transform
    • Modulation of Fourier transform
  • Application of Fourier transform
    • Amplitude Modulation
    • Multiplexing with Fourier transform
    • Sampling theorem
    • Signal filtering by Fourier transform
  • Duration
    • ESD
    • PSD
  • Bandwidth
    • Essential bandwidth
  • Uncertainty Principle of Fourier transform

• Laplace transform
  • CT Laplace transform
  • Bilateral Laplace transform
  • Unilateral Laplace transform
  • Bilateral transforms using Unilateral transforms
  • Properties of Unilateral Laplace transform
    • Initial-value theorem
    • Final-value theorem
  • Inverse Laplace transform
  • Application of Laplace transform
  • State equations of Laplace transform

• Z-transform
  • Feedback Z-transform

Software simulation

• MATLAB

Related topics

• Digital signal processing

Active participants

• Muhammad - EEE, Islamic University of Technology, Bangladesh

Study books

• Signals and Systems: Alan V. Oppenheim and Alan S. Willsky with S. Hamid Nawab. Pearson Education.
• Continuous and Discrete Signals and Systems: Samir S. Soliman and Mandyam D. Srinath. Prentice-Hall of India.

Online resources

• Lecture Notes at MIT

• Lecture Notes at JHU

See also

• School:Electrical engineering

Educational level: this is a tertiary (university) resource.

Type classification: this resource is a course.

Subject classification: this is an engineering resource.

Completion status: Been started, but most of the work is still to be done.