ENGR8722 Analysis of Engineering Systems GE

Review of linear systems, vector spaces, orthogonality, eigenvalues and eigenvectors, linear transformations. Continuous and discrete time signals, unit impulse and unit step signals, impulse response, step response, linear time invariant (LTI) systems, convolution, correlation, system transfer function, frequency response, Fourier transform, DFT (Discrete Fourier Transform), Periodic signals, Fourier series, Nyquist frequency, sampling theorem, aliasing, Laplace transform, bilinear transfer functions, magnitude and phase responses, Bode plots.

This topic aims to introduce the concepts and theories of linear algebra and signal analysis and their application to engineering systems.

1. Understand Linear Algebra and Signal Analysis from a Mathematical perspective
2. Be able to apply Linear Algebra and Signal Analysis to Engineering problems
3. Have a better understanding of the research directions in engineering systems