Syllabus

Course Code: EI-PC-308    Course Name: Digital Signal Processing

MODULE NO / UNIT COURSE SYLLABUS CONTENTS OF MODULE NOTES
1 Discrete Time Systems &Analysis of LTI System: Discrete system and its types, Z-transform and its properties, inverse Z-transform, region of convergence and its properties, Z-Domain analysis of Linear Time Invariant systems: transient and steady-state response, causality and stability. Frequency domain analysis of Linear Time Invariant systems: Frequency domain characteristics of LTI systems and frequency response of LTI systems.
2 Structure Realization of Discrete Time Systems: Introduction to structure realization and factor influencing structure realization, Structure realization of Finite Impulse Response (FIR) system: Direct form, transposed form, cascade form, frequency selective form and lattice form. Structure realization of Infinite Impulse Response (IIR) system: Direct form-I, Direct form-II, cascade form, parallel form and lattice form.
3 Discrete and Fast Fourier Transform (DFT & FFT):Discrete Fourier Transform (DFT), Inverse Discrete Fourier Transform (IDFT), relationship between DFT and Z-transform, Fast Fourier Transform: Decimation-in-time (DIT) FFT algorithm, decimation-in-frequency (DIF) FFT algorithm, Radix-2 FFT algorithms, linear filtering approach: Goertzel algorithm and Chirp z-transform algorithm, Quantization effect in computations, Effect of word length in digital filter.
4 Digital Filter Design: Characteristics and properties of digital filter, FIR digital filter design by using Fourier series method, Use of window functions method, frequency sampling method. Design of IIR filter from analog filter: Approximations of derivatives method, Impulse Invariant method, Bilinear - transformation method.
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