Fundamentals of Signals and Systems – Theory

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About Course

Fundamentals of Signals and Systems – Theory.

This course introduces the fundamental principles of signals and system analysis. These concepts form the building blocks of modern digital signal processing, communication, and control systems. Hence, a sound understanding of these principles is necessary for all students of Electronics and Communication Engineering (ECE), Electrical and Electronics Engineering (EEE), and Instrumentation Engineering (IE). The course will cover various basic tools of Signals and Systems analysis such as:

  1. Continuous-time signals
  2. Continuous-time systems
  3. Fourier series of periodic signals
  4. Fourier transform of aperiodic signals
  5. Fourier transform of periodic signals
  6. Basic properties of the Fourier transform
  7. Convolution property
  8. Multiplication property
  9. First-order systems
  10. Second-order systems
  11. Sampling and reconstruction
  12. Communication systems
  13. Laplace transform
  14. Inverse Laplace transform
  15. Properties of the Laplace transform
  16. Analysis of LTI systems via Laplace transform

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What Will You Learn?

  • Continuous-time signals
  • Continuous-time systems
  • Fourier series of periodic signals
  • Fourier transform of aperiodic signals
  • Fourier transform of periodic signals
  • Basic properties of the Fourier transform
  • Convolution property
  • Multiplication property
  • First-order systems
  • Second-order systems
  • Sampling and reconstruction
  • Communication systems
  • Laplace transform
  • Inverse Laplace transform
  • Properties of the Laplace transform
  • Analysis of LTI systems via Laplace transform

Course Content

Fundamentals of Signals and Systems – Theory

  • Signals & Systems: #01 Continuous-time signals
    26:18
  • Signals & Systems: #02 Continuous-time systems
    29:48
  • Signals & Systems: #03 Fourier series of periodic signals
    18:46
  • Signals & Systems: #04 Fourier transform of aperiodic signals
    21:13
  • Signals & Systems: #05 Fourier transform of periodic signals
    00:00
  • Signals & Systems: #06 Basic properties of the Fourier transform
    28:03
  • Signals & Systems: #07 Convolution property
    19:51
  • Signals & Systems: #08 Multiplication property
    19:25
  • Signals & Systems: #09 First-order systems
    21:52
  • Signals & Systems: #10 Second-order systems
    21:25
  • Signals & Systems: #11 Sampling and reconstruction
    00:00
  • Signals & Systems: #12 Communication systems
    23:19
  • Signals & Systems: #13 Laplace transform
    00:00
  • Signals & Systems: #14 Inverse Laplace transform
    00:00
  • Signals & Systems: #15 Properties of the Laplace transform
    00:00
  • Signals & Systems: #16 Analysis of LTI systems via Laplace transform
    23:53

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