Learning Outcomes:
On successful completion of this module students should understand the basic concepts mentioned in the above description, including, but not limited to, the ability to;
- find the Fourier series of simple 1D periodic signals and infer certain properties of the Fourier coefficients from notable properties of the original signal;
- find the Fourier transform of simple 1D nonperiodic signals;
- understand and apply several properties of the Fourier transform;
- use Fourier theory to analyse LTI systems and solve simple linear differential equations;
- explain and apply the concept of convolution;
- explain the need for the Laplace transform;
- obtain transfer functions for linear circuits and systems,
- apply Laplace transform techniques to reduce systems described by ordinary differential equations to systems described by algebraic equations;
- solve such systems for a given input using inverse Laplace techniques;
- implement a simple feedback control system.