Related Course/s:

Aims & Objectives:

Teaching Methods:

Lectures (48 hours), Tutorials (11 hours) and Laboratory work (8 hours).

Assessment:

Examination (70%); Lab reports (30%).

Generic Skills Outcomes:

• Ability to apply knowledge of basic science and engineering fundamentals
• Ability to communicate effectively, not only with engineers but also with the community at large
• Ability to undertake problem identification, formulation and solution
• Expectation of the need to undertake lifelong learning, and capacity to do so

Content:

• Continuous time signals and systems
• Fourier analysis
• Continuous systems, linearity and time-invariance
• Response of LTI systems, stability and causality, rational systems
• Noise
• Sampling and the sampling theorem
• Practical aspects of sampling and reconstruction
• Discrete time signals
• Basic operations on signals
• Discrete time Fourier transform, the DFT and the FFT
• Discrete LTI systems and discrete linear convolution
• FIR and IIR systems
• Difference equations and their solutions
• The z transform and its application to discrete time system analysis
• Rational z transforms and the response of pole-zero systems
• Structures for realising discrete LTI systems
• Ideal filters
• Causality and stability constraints
• Rational transfer functions and approximations to ideal filters
• Design of FIR filters, non-recursive FIR realisations
• Linear phase filters
• Use of DFT
• Recursive FIR realisations
• Design of recursive IIR filters
• Digital integration and differentiation
• Spectral analysis of continuous signals
• Power and energy spectral densities, the spectra of random processes and the measurement of spectra
• Discrete time spectral analysis
• Calculation of spectra using the DFT
• Image processing
• Grey level resolution, spatial resolution, contrast and brightness
• The video signal, digital images, frame grabbers, colour images
• Grey level mapping, histograms, point processes and convolution
• 2D spatial frequency, the Fourier transform and filtering
• Image segmentation

Reading Materials:

Ashok Ambardar, Analog and Digital Signal Processing (2nd Ed). Brooks/Cole (1999)
Strum, R & Kirk, D, First Principles of Discrete Systems & Digital Signal Processing, Addison-Wesley, 1989.
Oppenheim, AV & Schafer, RW, Discrete-Time Signal Processing, Prentice-Hall, 1989.
Castleman, KR, Digital Image Processing, Prentice-Hall, 1996.
Gonzales, RC & Wintz, P, Digital Image Processing, 2nd edn, Addison Wesley, 1987.