Syllabus

Course Code: EI-PE-203    Course Name: Program Elective-III - (i) Digital Signal Processing

MODULE NO / UNIT COURSE SYLLABUS CONTENTS OF MODULE NOTES
1 Introduction of Discrete Time Signals and Systems: Discrete time systems, Analysis of discrete time linear time-invariant systems, Discrete time systems described by difference equations, Implementation of discrete system, Correlation of discrete time signals, Z-transform and properties of Z-transform, Rational Z-transformation, Inverse Z-transform, Analysis of linear time invariant systems in Z-domain.
Frequency Analysis of Signals and Systems: Frequency analysis of continuous time signals, Frequency analysis of discrete time signals, Properties of Fourier Transform for discrete time signals, Frequency domain characteristics of linear time invariant systems, linear invariant systems as frequency selective filters.
2 The Discrete Fourier Transform: Frequency domain sampling, Properties of Discrete Fourier Transform (DFT), discrete Frequency analysis of signals using the DFT.FFTalgorithm : Decimation-in-time (DIT) algorithm andDecimation-in-frequency(DIF) algorithm, Linear filtering methods based on DFT.
Realization of digital systems: Structure realizationsmethods of FIR and IIR system.
3 Design of Digital Filters: Generalized characteristics of discrete filters, Design of Finite Impulse Response (FIR) filters, FIR digital filter design using Fourier series method, window design techniques. Optimal equi-ripple design techniques, frequency sampling design techniques. Design of Infinite Impulse Response (IIR) filters from analog filters, Comparison of IIR and FIR filters.
4 Multirate Digital Signal Processing:Introduction, decimation by a factor D, Interpolation by a factor I, sampling rate conversion by a rational factor I/D, implementation of sampling rate conversion, multistage implementation of sampling rate conversion, sampling rate conversion of Band pass signals, sampling rate conversion by an arbitrary factor, applications of multi rate signal processing.
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