Digital Signal Processing

This module provides and introductory course in digital signal analysis covering topics such as Discrete-time systems, time-domain analysis. The z-Transform. Frequency-domain analysis, Discrete Fourier Transform (DFT). Digital filter structures and implementation. Spectral analysis with the DFT, practical considerations. Digital filter design: IIR, FIR, window methods, use of analogue prototypes.

Learning Outcomes
1.Analyse a discrete-time system through calculation of its time-domain properties; in particular, calculate its impulse response, or the system output to any arbitrary input signal.
2.Describe signals and systems in terms of their z-transforms, and use appropriate techniques to analyse and manipulate them.
3.Determine the characteristics of a signal or system in the frequency domain, by means of the Fourier Transform, and determine the frequency content in the signal.
4.Given a discrete-time system description, determine an appropriate structure for implementation (e.g. cascade, parallel), and carry out system design.
5.Analyse and design specialised digital filters, including notch filters, resonators and oscillators.
6.Choose appropriate parameters for spectral analysis using the DFT, across a number of applications.
7.Analyse the computational requirments of time-domain and frequency-domain approaches to implementing digital filters.
8.Given a required digital filter specification, choose an appropriate design procedure from a number of alternatives, carry out this procedure to determine the required filter transfer function, and verify that the specification has been met.