LESSON PLAN. Sub Name: Discrete Time Systems and Signal Processing. Unit: I Branch: BE (EE) Semester: IV
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1 Page 1 of 6 Unit: I Branch: BE (EE) Semester: IV Unit Syllabus: I. INTRODUCTION Classification of systems: Continuous, discrete, linear, causal, stable, dynamic, recursive, time variance; classification of signals: continuous and discrete, energy and power; mathematical representation of signals; spectral density; sampling techniques, quantization, quantization error, Nyquist rate, aliasing effect. Objective: To classify signals and systems and their mathematical representation. 1 Introduction to Digital Signal Processing; Discussion Unit wise; Discrete time signal PPT, BB Standard signals and mathematical Representation 2 Signals - Classification; continuous and PPT, BB discrete time signals, Power and energy signals 3 Tutorials on Energy and power signals and PPT, BB operation on signals 4 Discrete time system Linear and non linear PPT, BB systems; Static and Dynamic systems - Tutorial 5,6 Discrete time system Causal and non causal PPT, BB systems, Stable and unstable systems - Tutorial 7 Time varying and time invariant systems PPT, BB Tutorial 8 Sampling and Sampling Theorem, Aliasing, PPT, BB Nyquist rate 9 Quantization, Quantization error and Coding PPT, BB
2 Page 2 of 6 Unit: II Branch: BE (EE) Semester: IV Unit Syllabus: II. DISCRETE TIME SYSTEM ANALYSIS Z-transform and its properties, inverse z-transforms; difference equation Solution by z- transform, application to discrete systems - Stability analysis, frequency response Convolution Discrete Time Fourier transform, magnitude and phase representation. Objective : To analyse the discrete time systems. 10 Convolution 50 1,2,3,5,6 PPT, BB 11 Problems on convolution 50 1,2,3,5,6 PPT, BB 12 Introduction to transformation, and Z 50 1,2,3,5,6 PPT, BB transform Relation between Z and S plane, Region of Convergence 13 Properties of ROC and problems 50 1,2,3,5,6 PPT, BB 14 Z transform and its properties 50 1,2,3,5,6 PPT, BB 15 Properties and its Tutorial 50 1,2,3,5,6 PPT, BB 16 Inverse Z transform and related problems by 50 1,2,3,5,6 PPT, BB long division method 17 Inverse Z transform and related problems by 50 1,2,3,5,6 PPT, BB partial fraction method. 18 Difference equation solution by Z transform 50 1,2,3,5,6 PPT, BB 19 Stability analysis and problems 50 1,2,6 PPT, BB 20 Frequency response and problems 50 1,2,6 PPT, BB 21 Introduction to Discrete Fourier transform and 50 1,2,3,5,6 PPT, BB its relation to other transforms 22 Discrete Fourier Series and its properties and 50 1,2,3,5,6 PPT, BB related problems 23 Spectral Density 50 1,2,3,5,6 PPT, BB CAT I
3 Page 3 of 6 Unit: III Branch: BE (EE) Semester: IV Unit Syllabus: III DISCRETE FOURIER TRANSFORM & COMPUTATION Discrete Fourier Transform- properties, magnitude and phase representation - Computation of DFT using FFT algorithm DIT & DIF using radix 2 FFT Butterfly structure. Objective: To study various transformation techniques & their computation. 24,25 DFT properties and problems 100 1,2,3,6 PPT, BB 26 DFT properties Circular convolution 50 1,2,3,6 PPT, BB 27 Problems on concentric circle method 50 1,2,3,6 PPT, BB 28 Introduction to FFT Derivation DIT- 50 1,2,3,6 PPT, BB FFT 29, 30 Problems on computation of DFT using 100 1,2,3,6 PPT, BB DIT FFT radix -2 Butterfly structure and tutorial 31 Derivation of DIF-FFT algorithm 50 1,2,3,6 PPT, BB 32,33 Problems on computation of DFT using DIF FFT radix -2 Butterfly structure and tutorial 100 1,2,3,6 PPT, BB
4 Page 4 of 6 Unit: IV Branch: BE (EE) Semester: IV Unit Syllabus: IV DESIGN OF DIGITAL FILTERS FIR & IIR filter realization Parallel & cascade forms. FIR design: Windowing Techniques Need and choice of windows Linear phase characteristics. IIR design: Analog filter design - Butterworth and Chebyshev approximations; IIR Filters, digital design using impulse invariant and bilinear transformation - Warping, pre warping. Objective : To study about filters and their design for digital implementation 34 Introduction to FIR - realisation 50 1,2,5,6 PPT, BB 35,36 Introduction to IIR filter 100 1,2,5,6 PPT, BB Realization Direct form I and II, Parallel and cascaded form 37,38 FIR filter design using 100 1,2,5,6 PPT, BB windowing, types of windows 39 FIR Linear phase filter 50 1,2,5,6 PPT, BB 40 IIR filter design using impulse 50 1,2,5,6 PPT, BB invariance method 41 IIR filter design using Bilinear 50 1,2,5,6 PPT, BB transformation technique 42 Butterworth and Chebyshev 50 1,2,5,6 PPT, BB approximation for IIR design 43 Problems Butterworth & 50 1,2,5,6 PPT, BB Chebyshev approximation 44 Warping,Pre warping 50 1,2,5,6 PPT, BB Frequency transformation CAT II
5 Page 5 of 6 Unit: V Branch: BE (EE) Semester: IV Unit Syllabus: V. DIGITAL SIGNAL PROCESSORS Introduction Architecture Features Addressing Formats Functional modes - Introduction to Commercial DSProcessors Objective: To study about a programmable digital signal processor & quantization effects. 45 Introduction to Architecture of TMS ,7 PPT 320 C50 46 Features of DSP processor ,7 PPT 47 Instruction set ,7 PPT,BB 48 Addressing formats ,7 PPT,BB 49 Functional modes ,7 PPT,BB 50 Introduction to commercial processors ,7 PPT CAT III
6 Course delivery plan : ( based on 4 hours per week) Weeks I II I II I II I II I II I II I II I II I II I II I II I II I II Units TEXT BOOKS: 1. J.G. Proakis and D.G. Manolakis, Digital Signal Processing Principles, Algorithms and Applications, Pearson Education, New Delhi, PHI S.K. Mitra, Digital Signal Processing A Computer Based Approach, McGraw Hill Edu, Robert Schilling & Sandra L.Harris, Introduction to Digital Signal Processing using Matlab, Cengage Learning, REFERENCES: 4. Poorna Chandra S, Sasikala. B, Digital Signal Processing, Vijay Nicole/TMH, B.P.Lathi, Principles of Signal Processing and Linear Systems, Oxford University Press, Taan S. ElAli, Discrete Systems and Digital Signal Processing with Mat Lab, CRC Press, Sen M.kuo, woonseng s.gan, Digital Signal Processors, Architecture, Implementations & Applications, Pearson, Dimitris G.Manolakis, Vinay K. Ingle, applied Digital Signal Processing, Cambridge, Lonnie C.Ludeman, Fundamentals of Digital Signal Processing, Wiley, Prepared by Approved by Signature Name Designation Dr. KR Santha Dr. K.B.Sudhakar Professor-EE Assoc.Professor -EE Dr.KR Santha HOD-EE Date
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