Objective

This course provides the theoretical and mathematical foundation for signal processing, communication, circuits design and system analysis. Students will learn the representation, analysis and transformation of continuous-time and discrete-time signals, and the principles of processing time-varying signals by linear systems. The course emphasizes on the application of mathematical methods to analyzing engineering systems and solving engineering problems.

Syllabus

• Basics of signals and systems
• Fourier analysis 
• Linear time-invariant (LTI) system
• Sampling
• Laplace transform
• z-transform
• Linear feedback system

Learning Outcome

By the end of this course, students will be able to

• mathematically express a time-varying signal and its time-domain transformation;
• compute and graphically represent the frequency spectrum of a time-varying signal;
• represent a linear time-invariant system in the forms of impulse response, frequency response, transfer function, linear differential equation, or block diagram;
• mathematically analyze the properties of a time-varying signal;
• mathematically analyze the properties of a linear time-invariant system;
• explain the process of sampling and reconstruction;
• describe, from both time-domain and frequency-domain perspectives, how the signal changes during the sampling process;
• state the sampling theorem and apply it to a practical problem;
• analyze a linear feedback system
  

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