Digital Signal Processing

Learning Outcomes

The course introduces students to the design theory for continuous and discrete time linear systems. Based on this theory, students will be able to design analog and digital filters based on specifications in the frequency domain.

Upon successful completion of the course the student will be able to:

• Use algorithms to design Finite Impulse Response (FIR) and Infinite Impulse Response (IIR) digital filters.
• Obtain transfer function of prototype analog filters based on required frequency response.
• Obtain IIR and FIR filter implementation methods: serial and parallel structures.
• Design FIR and IIR filters using the Matlab software tool.

Course Contents

• Frequency response of discrete time signals
• Finite impulse response (FIR) digital filters with linear phase.
• FIR filter design using the window method.
• FIR filter design using the frequency sampling method.
• FIR filter design using the optimal method.
• Prototypes of analogue lowpass filters: Butterworth polynomials and Chebyshev polynomials.
• Frequency translation of ptototype analogue filters for creating analogue filters with arbitrary frequency response.
• Design of digital infinite impulse response (IIR) filters using bilinear transformation.
• Frequency transformation of digital filters.
• Implementation issues and techniques for IIR and FIR digital filters
• Telecommunication filters raised cosine.

Recommended Readings

• Vinay Ingle & John Proakis, (2012) Digital Signal Processing using Matlab, 3^rd edition, Cengage Learning
• C. Ifeachor & B.W. Jervis, (2002): DSP A Practical Approach, 2nd edition, Prentice Hall, ISBN 0201-59619-9
• J. Proakis & D. Manolakis, (2007): Digital Signal Processing: Principles, Algorithms and Applications, 4th Edition, Prentice Hall.