Course Description

The course introduces continuous-time (analogue) signals including an analysis and design of continuous-time systems. After reviewing core concepts in complex numbers, trigonometry, and functions, the course considers three alternate representations (differential equations, impulse response, and Laplace/Fourier transfer function) for linear, time invariant (LTI) systems in the continuous-time domain. The analysis of LTI systems is covered for each of the three representations. Frequency-selective filters are introduced as a special class of LTI systems for which design techniques are covered. Applications of continuous-time systems in communications and controls are also presented.

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

• Describe a physical process in terms of signals and systems, and describe the properties.

• Calculate the frequency representations of periodic and aperiodic CT signals.

• Compute the steady state outputs of linear time-invariant systems in the continuous-time domain using three different but equivalent techniques: (i) solving differential equations, (ii) convolution with the impulse response, and; (iii) the Fourier (or, alternatively, the Laplace) transform.

• Represent a CT linear time invariant system using its magnitude and phase spectrum.

• Design CT frequency selective filters based on given specifications for the system.

• Analyze practical applications in controls and communication systems using the analysis techniques covered in the course.

• Represent CT signals/systems as discrete-time signals/systems and use MATLAB to analyze and design the CT signals/systems for selected real-world applications.

• Lectures: Every Tuesdays and Thursdays 13:00-14:30 at CB115
• Labs: BRG 336
• LAB01, Monday 12:00-15:00
• LAB02, Friday 12:00-15:00
• LAB03, Wednesday 14:30-17:30