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], L1,L2,L3
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], L1,L2, L3
Design of FIR Filters: Characteristics of practical frequency -selective filters, Symmetric andAntisymmetric 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], L1,L2,L3
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], Ll,L2,L3
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.
[Text2], Ll,L2,L3
Course Outcomes:
After studying this course, students will be able to:
1. Determine response of LTI systems using time domain and DFT techniques.
2. Compute DFT of real and complex discrete time signals.
3. Compute DFT using FFT algorithms and linear filtering approach.
4. Design and realize FIR and IIR digital filters.
5. Understand the DSP processor architecture.
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 ofthe 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
TextBook:
1. Proakis & Manolakis, "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. 97
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.Ganesh Rao and Vineeth P Gejji, "Digital Signal Processing" Cengage India Private Limited, 2017, ISBN: 9386858231