DIGITAL SIGNAL PROCESSING(18EC52)

DIGITAL SIGNAL PROCESSING

Course Code:18EC52 
CIE Marks:40
SEE Marks:60
Number of Lecture Hours/Week 3+2(Tutorial) 
Exam Hours:03
CREDITS : 04

Course Learning Objectives: This course will enable students to

• Understand the frequency domain sampling and reconstruction of discrete time signals.
• Study the properties and the development of efficient algorithms for the computation of DFT.
• Realization of FIR and IIR filters in different structural forms.
• Learn the procedures to design of IIR filters from the analog filters using impulse invariance and bilinear transformation.
• Study the different windows used in the design of FIR filters and design appropriate filters based on the specifications.
• Understand the architecture and working of DSP processor

Module-1

Discrete Fourier Transforms (DFT): Frequency domain sampling and Reconstruction of Discrete
Time Signals, The Discrete Fourier Transform, DFT as a linear transformation, Properties of the
DFT: Periodicity, Linearity and Symmetry properties, Multiplication of two DFTs and Circular
Convolution, Additional DFT properties. [Text 1]

Module-2

Linear filtering methods based on the DFT: Use of DFT in Linear Filtering, Filtering of Long
data Sequences.
Fast-Fourier-Transform (FFT) algorithms: Efficient Computation of the DFT: Radix-2 FFT
algorithms for the computation of DFT and IDFT–decimation-in-time and decimation-in-frequency
algorithms. [Text 1]

Module-3

Design of FIR Filters: Characteristics of practical frequency –selective filters, Symmetric and
Antisymmetric FIR filters, Design of Linear-phase FIR filters using windows - Rectangular,
Hamming, Hanning, Bartlett windows. Design of FIR filters using frequency sampling method.
Structure for FIR Systems: Direct form, Cascade form and Lattice structures.[Text1]

Module-4

IIR Filter Design: Infinite Impulse response Filter Format, Bilinear Transformation Design
Method, Analog Filters using Lowpass prototype transformation, Normalized Butterworth
Functions, Bilinear Transformation and Frequency Warping, Bilinear Transformation Design
Procedure, Digital Butterworth Filter Design using BLT. Realization of IIR Filters in Direct form I
and II. [Text 2]

Module-5

Digital Signal Processors: DSP Architecture, DSP Hardware Units, Fixed point format, Floating
point Format, IEEE Floating point formats, Fixed point digital signal processors, Floating point
processors, FIR and IIR filter implementations in Fixed point systems.[Text 2]

Course Outcomes: After studying this course, students will be able to:

• Determine response of LTI systems using time domain and DFT techniques.
• Compute DFT of real and complex discrete time signals.
• Computation of DFT using FFT algorithms and linear filtering approach.
• Design and realize FIR and IIR digital filters
• Understand the DSP processor architecture.

Full Notes

Question paper pattern:

• Examination will be conducted for 100 marks with question paper containing 10 full questions, each of 20 marks.
• Each full question can have a maximum of 4 sub questions.
• There will be 2 full questions from each module covering all the topics of the module.
• Students will have to answer 5 full questions, selecting one full question from each module.
• The total marks will be proportionally reduced to 60 marks as SEE marks is 60

Text Book:

1. Proakis & Monalakis, “Digital signal processing – Principles Algorithms & Applications”, 4th Edition,
Pearson education, New Delhi, 2007. ISBN: 81-317-1000-9.
2. Li Tan, Jean Jiang, “Digital Signal processing – Fundamentals and Applications”, Academic Press, 2013,
ISBN: 978-0-12-415893.

Reference Books:

1. Sanjit K Mitra, “Digital Signal Processing, A Computer Based Approach”, 4th Edition, McGraw Hill
Education, 2013,
2. Oppenheim & Schaffer, “Discrete Time Signal Processing” , PHI, 2003.
3. D.GaneshRao and Vineeth P Gejji, “Digital Signal Processing” Cengage India Private Limited, 2017,
ISBN: 9386858231