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20250417892
CEN1701
4 hours English

Signals and Systems

Signals and Systems
1 Signals and systems: continuous-time and discrete-time signals, transformation of the independent variable, exponential and sinusoidal signals, unit impulse and unit step function, continuous-time and discrete-time systems, basic system properties
2 Linear time-invariant systems: convolution sum, convolution integral, an overview of the properties of LTI systems
3 Fourier series representation of periodic signals: Fourier series of continuous-time periodic signals, linear combination of harmonically related complex exponentials, determination of the Fourier series representation of a continuous-time periodic signal, an overview of properties of continuous-time Fourier series, Fourier series of discrete-time periodic signals, linear combinations of harmonically related complex exponentials, deterimination of the Fourier series representation of a periodic signal, an overview of properties of discrete-time Fourier series
4 Continuous-time Fourier transform: Fourier transform of aperiodic signals, examples of continuous-time Fourier transforms, overview of properties of continuous-time Fourier transform
5 Discrete-time Fourier transform: Fourier transform of discrete-time aperiodic signals, examples of discrete-time Fourier transforms, overview of properties of discrete-time Fourier transform
6 Frequency response of an LTI system: the magnitude-phase representation of the frequency response, linear and nonlinear phase, group delay, log-magnitude and bode plots
7 Frequency response analysis using DTFT and DFT: first order discrete-time systems
8 Sampling and aliasing: sampling theorem, reconstruction of a singal from its samples using interpolation, aliasing
9 Laplace transform: basic formula to find Laplace transform, region of convergence, inverse Laplace transform, overview of properties of Laplace transform, examples of Laplace transform pairs, unilateral Laplace transform
10 z-Transform: basic formula to find z-transform, region of convergence, inverse z-transform, overview of properties of z-transform
1.1 Mapped to: K1

An ability to identify and explain the broad in-depth knowledge and comprehension of concepts, principles, theories, processes, methodologies, and procedures in the domain of signals and systems

Teaching Strategy One or more of the following strategies may be used: Classroom lectures PowerPoint slides Reading assignments
Assessment Methods One or more of the following strategies may be used: Written exams, Home assignments Oral questions
1.1 Mapped to: K1

An understanding of signals, classification of signals, and signal operations

Teaching Strategy One or more of the following strategies may be used: Classroom lectures PowerPoint slides Reading assignments
Assessment Methods One or more of the following strategies may be used: Written exams, Home assignments Oral questions
1.2 Mapped to: K1

An understanding of classes of systems and system properties

Teaching Strategy One or more of the following strategies may be used: Classroom lectures PowerPoint slides Reading assignments
Assessment Methods One or more of the following strategies may be used: Written exams, Home assignments Oral questions
1.3 Mapped to: K1

The knowledge of sampling continuous-time signals, sampling theorem, and aliasing

Teaching Strategy One or more of the following strategies may be used: Classroom lectures PowerPoint slides Reading assignments
Assessment Methods One or more of the following strategies may be used: Written exams, Home assignments Oral questions
2.1 Mapped to: S1 (S1 in ABET)

Cognitive Skills: An ability to identify, formulate, and solve problems in the domain of signals and systems

Teaching Strategy One or more of the following strategies may be used: Classroom lectures PowerPoint slides Reading assignments Problem solving practice Tutorials
Assessment Methods One or more of the following strategies may be used: Written exams Home assignments Oral questions
2.2 Mapped to: S1 (S1 in ABET)

An ability to find the energy and power of continuous-time and discrete-time signals

Teaching Strategy One or more of the following strategies may be used: Classroom lectures PowerPoint slides Reading assignments Problem solving practice Tutorials
Assessment Methods One or more of the following strategies may be used: Written exams Home assignments Oral questions