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98.701 DIGITAL SIGNAL PROCESSING (TA) 3 -1-0

Module I
Introduction to Digital Signal Processing, Overview of LTI systems, discrete time systems- properties - linearity, time invariance, causality, stability; DTFT, Sampling of continuous time signals, periodic sampling, frequency domain representation of sampling; reconstruction of band limited signal from its samples, continuous time processing of discrete time signals and vice versa, changing the sampling rate using discrete time processing, MATLAB exercises.
Anti-aliasing filter design, sample and hold circuits, ADC, DAC.

Module II
Digital filter structures, signal flow graphs, basic network structures for IIR filters: Direct, cascade, parallel. Basic network structures for FIR filters: Direct, Cascade, linear phase FIR filter, all pass filters. Discrete Fourier Transform - properties - circular convolution, linear convolution using DFT. Fast Fourier Transform - DIT and DIF.

FFT algorithms split - Radix FFT algorithms, general computational considerations, MATLAB exercises.
Introduction to the current DSP architectures.

Module III
Overview of analog filter design, transformation techniques - bilinear and impulse invariant design of IIR filters. Design of FIR filters using windows. Design using frequency sampling method, Computer aided design of digital filters.
Applications of DSP- spectral analysis using DFT, musical sound processing, sub band coding of speech and audio signals.
MATLAB exercises

Text Books :-

Module I, Module II
1. Ref (1) (Chapters 1, 2, 3 & 5) (1) Ref (1) (Ch. 3, 6 & 8)
2. Ref (2) (Chapter 3) (2) Ref (3) (Ch. 5 & 6)
3. Ref (3) (Chapters 2, 3 & 4)

Module III
1. Ref (1) (Chapters 3, 6 & 8)
2. Ref (4)

References :-

1. Sanjith K.Mitra . Digital Signal Processing, Tata McGraw Hill, New Delhi.
2. A V Oppenheim & Ronald W. Schafer. Discrete Time Signal Processing, Prentice Hall of India, New Delhi.
3. Proakis & Manolakis. Digital Signal Processing, 3rd ed., Prentice Hall of India, New Delhi.
4. Johnny R. Johnson. Introduction to Digital Signal Processing, Prentice Hall of India, New Delhi.
5. Lonnie C. Ludeman, Fundamentals of Digital Signal Processing, John Wiley & Sons.
6. Alan V. Oppenheim & Ronald W. Schafer. Digital Signal Processing, Prentice Hall of India, New Delhi.

Question Paper : -

The question paper will consist of two parts. Part I is to cover the entire syllabus, and carries 40 marks. This will contain 10 compulsory questions of 4 marks each. Part II is to cover 3 modules, and carries 60 marks. There will be 3 questions from each module (10 marks each) out of which 2 are to be answered.