<p> EEU 302 DIGITAL SIGNAL PROCESSING & APPLICATIONS</p><p>S6 Core L T P C 3 1 0 3 Objective and level of course: 1) To understand the basic class of discrete-time signals and systems and their representations. 2) To understand the use of transforms for the analysis of discrete- time systems. 3) To understand the digital filter design techniques and finite word length effects. 4) To understand DFT and algorithms for its computations. 5) To identify applications with analysis </p><p>Prerequisite: Nil</p><p>Module I (10+2 hours) Discrete-time signals and systems: Discrete-time signals - sequences - Discrete-time systems- linear shift - invariant systems - stability and causality - difference equations - frequency domain representations – Review of Fourier transform and its properties - sampling of continuous – Spectral characteristics - time signals - z transform - inverse z transforms .</p><p>Module II (10 +3 hours) Transform Analysis of LTI Systems and Structures for DTS: Frequency response for rational system functions- Geometric construction for computation of the frequency response function from pole-zero plots- minimum phase systems-Linear systems with generalized linear phase- basic structures for IIR and FIR systems- Direct forms- cascade forms- parallel forms-Lattice structures- DSP chips - architecture of fixed point and floating point DSP core (schematics only) – implementation.</p><p>Module III (12+4 hours) Digital filter design techniques and finite wordlength effects: Design of IIR filters from analog filters - analog Butterworth function for various filters- analog to digital transformation - backward - difference and forward - difference approximations - impulse invariant transformation - bilinear transformation - prewarping - - design examples - properties of FIR filters - design of FIR filters using windows - comparison of IIR and FIR filters - finite word length effect in DSP- zero-input limit cycles in fixed point realizations of IIR digital filters-Limit cycles due to overflow. Applications for Speech signal processing.</p><p>Module IV (10+3 hours) The Discrete Fourier Transform :Representation of periodic sequences - properties of discrete Fourier series - discrete Fourier transforms - properties of DFT - linear convolution using DFT - overlap - add method - overlap - save method - FFT - Radix2 DIT FFT algorithm - Radix2 DIF FFT algorithm - butterfly structure - bit reversed order - in - place computations-Fourier analysis of signals using the DFT- DFT Application and analysis.</p><p>Reference Books</p><p>1. Alan V . Oppenheim, Ronald W. Schafer, .Discrete-Time Signal Processing., Prentice-Hall of India Pvt. Ltd., New Delhi, 1997 2. Sanjit K Mitra, .Digital Signal Processing: A computer-based approach. ,Tata Mc Grow-Hill edition .1998 3. John G. Proakis, and Dimitris G. Manolakis, .Digital Signal Processing.(third edition), Prentice-Hall of India Pvt. Ltd, New Delhi, 1997 4. Emmanuel C. Ifeachor, Barrie W. Jervis , .Digital Signal Processing-A practical Approach., Addison . Wesley,1993 5. Abraham Peled and Bede Liu, .Digital Signal Processing., John Wiley and Sons, 1976 6. Haykin and Van Veen, Signals and Systems, (second edition), John Wiley and sons, Inc.,2003. </p>