ECE 301 List
Topics covered: Classification, analysis and design of systems in both the time- and frequency-domains. Continuous-time linear systems: Fourier Series, Fourier Transform, bilateral Laplace Transform. Discrete-time linear systems: difference equations, Discrete-Time Fourier Transform, bilateral z-Transform. Sampling, quantization, and discrete-time processing of continuous-time signals. Discrete-time nonlinear systems: median-type filters, threshold decomposition. System design examples such as the compact disc player and AM radio
Course Outcomes:
i. an ability to classify signals (e.g. periodic, even) and systems (e.g. causal, linear) and an understanding of the difference between discrete and continuous time signals and systems.
ii. an ability to determine the the impulse response of a differential or difference equation.
iii. an ability to determine the response of linear systems to any input signal by convolution in the time domain.
iv. an understanding of the definitions and basic properties ( e.g. time-shift, modulation, Parseval's Theorem) of Fourier series, Fourier transforms, bilateral Laplace transforms, Z transforms, and discrete time Fourier transforms and an ability to compute the transforms and inverse transforms of basic examples using methods such as partial fraction expansions.
v. an ability to determine the response of linear systems to any input signal by transformation to the frequency domain, multiplication, and inverse transformation to the time domain.
vi. an ability to apply the Sampling theorem, reconstruction, aliasing, and Nyquist's theorem to represent continuous-time signals in discrete time so that they can be processed by digital computers
Concepts:
1. Discrete time, continuous time signal definitions, total energy (used in ECE 438)
2. Signal Classification, Time-shift, Time-reversal, Composite-transformation
3. Complex exponentials, conversions between u(t) & δ(t), system connections
4.Causal vs. Non-causal, stable vs. unstable, time-invariant vs. time-varying, linear vs. non-linear (used in ECE 438)
4. Convolution sum/integral, properties of convolution
5. LTI system classifications
6. Fourier Series (CT/DT), properties (used in ECE 438)
7. Fourier Transforms (synthesis and analysis), properties (used in ECE 438)
8. Signal modulation, DTFT pairs, sampling, region of convergence (used in ECE 438)
