Syllabus

Module 1: Introduction: Signals, systems and signal processing, concept of frequency in continuous and discrete time signal Discrete-time Signals and Systems: Discrete time signals and systems, analysis of LTI system and implementation, correlation.[5 hours]

Module 2:Z-Transform: Generalized complex exponentials as eigen signals of LTI systems, z-transform definition, region of convergence (RoC), properties of RoC, properties of the z-transform, inverse z-transform methods-pole-zero plots, time-domain responses of simple pole-zero plots, RoC implications of causality and stability Frequency Domain Analysis: Frequency analysis of continuous-time and discrete-time signals and LTI systems, LTI system as frequency selective filter, inverse system and deconvolution. [6 hours]

Module 3: Sampling and reconstruction of signals: Sampling theorem of low pass signals, interpolation function, analog-to-digital conversion, analysis of quantization noise, sampling theory for band pass signal. Discrete Fourier Transform (DFT): Definition of the DFT and inverse DFT, DFT as the samples of the DTFT and the implied periodicity of the time-domain signal, recovering the DTFT from the DFT, circular shift of signal and the “index mod N” concept, properties of the DFT, circular convolution and its relationship with linear convolution, sectioned convolution methods: overlap add and overlap save, effect of zero padding, [8 hours]

Module 4: Introduction to the Fast Fourier Transform (FFT) algorithm, decimation-in-time and decimation-in-frequency algorithms. Implementation of Discrete-Time System: FIR system, IIR system, [6 hours]

Module 5:Design of Digital Filters: Design of FIR and IIR filters, Recent Developments. [8 hours]

To enable student to learn about digital signal processing which is the back bone of recent digital algorithms.

A graduate student will be able to design and develop Digital LTI systems, FIR and IIR filters, FFT algorithms, etc.

S.K. Mitra, Digital Signal Processing: A computer based approach, TMH, 2001

A.V. Oppenheim and R W Schafer, Discrete Time Signal processing, Prentice Hall, 1999

J.G. Proakis and D.G. Manolakis, Digital Signal Processing: Principles Algorithms and Applications, Pearson Education

P Ramesh Babu, Digital Signal Processing, Scitech Publications (India) Pvt Ltd