Signals and systems

Subdivisions and Departments

[a] Digital_Signal_Processing

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

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.

Resource type: 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.