Objective 1: Students will be able to comprehend basic systems properties and signals.
Related Learning Outcomes: Students will identify and operate on basic signals in continuous time (CT) and discrete time (DT); determine properties of a general system; use the convolution operation to find the output of an LTI system; find the impulse response of an LTI system specified by a linear, constant-coefficient difference or differential equation.
Objective 2: Students will be able to apply Fourier analysis to periodic and aperiodic signals.
Related Learning Outcomes: Students will compute the Fourier series representation of a periodic CT signal; determine the Fourier Transform (FT) of a CT signal; represent a periodic DT signal through Fourier series; find the Fourier Transform (FT) of a DT signal; use and relate the properties of DT/CT Fourier series and transforms.
Objective 3: Students will be able to apply transform techniques to signals and systems.
Related Learning Outcomes: Students will compute the Laplace transform of a CT signal; compute the Z transform of a DT signal; relate the Fourier and Laplace transforms; relate the DT Fourier and Z transforms.
Objective 4: Students will be able to analyze LTI systems by transform techniques.
Related Learning Outcomes: Students will make use of transfer (system) function and frequency response while analyzing LTI systems; state how the stability and causality of an LTI system is related to the poles of its transfer function.
Objective 5: Students will be able to analyze engineering problems by using properties of transform techniques.
Related Learning Outcomes: Students will comprehend the Fourier-domain relation between a CT signal and the DT signal obtained by sampling; formulate the Fourier-domain representation of modulation and demodulation operations.