ELE374
Signals and Systems Theory (Level: 5 Credits: 15)

(Same as ELB3374 'Signals and Systems Theory' for students on BUPT joint degree programmes)

Introduce concepts of signals and systems, in continuous and discrete time. Introduce the ideas behind linear, time invariant systems and functions.

Distinguish some important categories of signals, e.g. periodic and non-periodic, random, energy signal and power signal.

Explain and use signal average values.

Define signal symmetry, and to explain the concept and use of orthogonality.

Introduce the Fourier trigonometric series.
Introduce frequency domain representation, and the Fourier transform. Show how the Fourier transform is applied to some simple aperiodic signals, and how to interpret the results.
Introduce discrete time signals, and sampling, including alaising and the unit sample sequence. Explain FIR and IRR discrete time systems. Show how the response of a discrete time system is the convolution of the input sequence with the unit sample response.

Introduce the Z-transform, and apply to discrete time signals and systems. Show that stability of a discrete time systems can be examined by using Z-transform techniques.

Introduce the Laplace transform, and the complex frequency terms. Study certain simple applications of the Laplace transform, e.g. to the unit step function, the exponential function, the sinusoid, and to combinations of these. Inverse Laplace transform.