Introduction to Signals and Systems:
Basic elements of a DSP System, Classification of Signals, Sampling Theorem (statement and problems on Nyquist rate), Discrete Time Signals (Representation, Standard Signals, Classification, and Operations), Discrete Time Systems, Convolution Sum, Cross correlation and Auto correlation of sequences. Text 1: 1.1.1, 1.2, 1.4.2, 2.1, 2.2, 2.3.3, 2.3.7, 2.6.1.
Z- Transform and its Application to analysis of LTI Systems:
Direct Z-Transform, Properties of the Z-Transform, Examples, Inverse Z- Transform by Partial- Fraction Expansion method only, System Function of a LTI System, Causality and Stability (from H (z)).
Realization of Digital System:
Direct Form I, Direct form II, cascade form and parallel form Text 1: 3.1.1, 3.2, 3.4.3, 3.3.3, 3.5.3. Text 2: 9.2,9.3
DFT: Properties and Applications:
Definition and Problems on DFT&IDFT, DFT Properties – Periodicity, Linearity, Time Reversal, Circular Time Shift, Circular Frequency Shift, Circular Convolution, Multiplication of two DFTs& Circular Convolution, Parseval’s Theorem, DFT in linear filtering. Introduction to FFT, 8-point DFT Computation using Radix-2 DIT-FFT&DIF-FFT methods only, relevant examples. Text 1: 7.1.3, 7.2, 7.3.1, 8.1.3.
IIR& FIR Filters:
IIR Filters:
Low-pass filter specifications, IIR filter Design by Impulse Invariance & Bilinear Techniques, Design of Digital IIR filter by Butterworth approach, Examples. Magnitude response of lowpassChebyshev Type I, II filter (Theoretical concept only)
FIR Filters:
Design of FIR filters – Symmetric and Antisymmetric FIR filters, Design of Linear phase FIR filters by Rectangular Hamming & Hanning windows. Summary of window function characteristics (window shape, transition bandwidth, stop band attenuation, etc.). Implementation of FIR filters by direct form and Single-stage lattice structure only. Text 1: 10.3.2, 10.3.3, 10.3.4, 9.3.1, 9.3.3, 9.3.4, 10.2.1,10.2.2, 10.2.7, 9.2.1, 9.2.4
Multirate Digital Signal Processing & Adaptive Filters:
Introduction, Decimation Process, Interpolation Process, Digital Filter Bank, Adaptive Filters, LMSadaptive algorithm, Applications, Features & Architectural of TMS320C54XX processor. Text 2: 17.1, 17.2, 17.3, 17.4, 16.2, 16.3, 16.5, 19.2, 19.3.
Course Outcomes:
After studying this course, students will able to:
1. Visualize, Classify and perform computation on discrete time signals, systems and properties
2. Perform the transformation techniques from time domain to other and vice versa, and analyze the system and properties (Z-Transform, DFT etc.)
3. Realize / implement the Direct/ cascade/ parallel/ lattice forms of the given digital system (IIR/ FIR)
4. ComputeDFT by FFT algorithms
5. Develop transformation from analog system to digital systemanddesign and implementIIR and FIR filters
6. Demonstrate the advanced concepts of signal processing (Multi-rate and Adaptive filtering) and architecture of DSP processor
Question Paper Pattern:
• The question paper will have TEN questions.
• Each full question carry 20 marks
• There will be TWO full questions (with maximum of THREE sub questions) from each module.
• Each full question will have sub questions covering all the topics under a module.
• The students will have to answer FIVE full questions, selecting ONE full question from each module.
Textbooks:
1. Dimitris G Manolakis, John G. Proakis, “Digital Signal Processing: Principles, Algorithms, and Applications”, 4th Edition, Pearson India, 2007.
2. V.Udayashankara, “Modern Digital Signal Processing”, Third Edition, PHI 2016
Reference Books:
1. Simon Haykin and Barry Van Veen “Signals and Systems”, John Wiley & Sons, 2nd edition
2. S K Mitra, “Digital Signal Processing”, 4th Edition, McGraw-Hill, Year
3. Avtar Singh, “Digital Signal Processing Implementation”, Brooks Cole