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Note for Introduction to Digital Signal Processing - IDSP by Mohit Katiyar

  • Introduction to Digital Signal Processing - IDSP
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A Course Material on PRINCIPLES OF DIGITAL SIGNAL PROCESSING By Mr. A.MUTHUKUMAR ASSISTANT PROFESSOR DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING SASURIE COLLEGE OF ENGINEERING VIJAYAMANGALAM – 638 056

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QUALITY CERTIFICATE This is to certify that the e‐course material Subject Code : EC6501 Subject : PRINCIPLES OF DIGITAL SIGNAL PROCESSING Class : III Year ECE being prepared by me and it meets the knowledge requirement of the university curriculum. Signature of the Author Name: MUTHUKUMAR.A Designation: AP This is to certify that the course material being prepared by Mr.M.SHANMUGHARAJ is of adequate quality. He has referred more than five books among them minimum one is from abroad author. Signature of HD Name: Dr.K.PANDIARAJAN SEAL

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EC6502 DIGITAL SIGNAL PROCESSING UNIT I DISCRETE FOURIER TRANSFORM 9 DFT and its properties, Relation between DTFT and DFT, FFT computations using Decimation in time and Decimation in frequency algorithms, Overlap-add and save methods UNIT II INFINITE IMPULSE RESPONSE DIGITAL FILTERS 9 Review of design of analogue Butterworth and Chebyshev Filters, Frequency transformation in analogue domain – Design of IIR digital filters using impulse invariance technique – Design of digital filters using bilinear transform – pre warping – Realization using direct, cascade and parallel forms. UNIT III FINITE IMPULSE RESPONSE DIGITAL FILTERS 9 Symmetric and Antisymmetric FIR filters – Linear phase FIR filters – Design using Hamming, Hanning and Blackmann Windows – Frequency sampling method – Realization of FIR filters – Transversal, Linear phase and Polyphase structures. UNIT IV FINITE WORD LENGTH EFFECTS 9 Fixed point and floating point number representations – Comparison – Truncation and Rounding errors - Quantization noise – derivation for quantization noise power – coefficient quantization error – Product quantization error - Overflow error – Roundoff noise power limit cycle oscillations due to product roundoff and overflow errors - signal scaling UNIT V MULTIRATE SIGNAL PROCESSING 9 Introduction to Multirate signal processing-Decimation-Interpolation-Polyphase implementation of FIR filters for interpolator and decimator -Multistage implementation of sampling rate conversion- Design of narrow band filters - Applications of Multirate signal processing. TOTAL= 60 PERIODS TEXT BOOKS 1. John G Proakis and Manolakis, “ Digital Signal Processing Principles, Algorithms and Applications”, Pearson, Fourth Edition, 2007. 2. S.Salivahanan, A. Vallavaraj, C. Gnanapriya, Digital Signal Processing, TMH/McGraw Hill International, 2007 REFERENCES 1. E.C.Ifeachor and B.W.Jervis,“Digital signal processing–A practical approach ” Second edition, Pearson, 2002. 2. S.K. Mitra, Digital Signal Processing, A Computer Based approach, Tata Mc GrawHill, 1998. 3. P.P.Vaidyanathan, Multirate Systems & Filter Banks, Prentice Hall, Englewood cliffs, NJ, 1993. 4. Johny R. Johnson, Introduction to Digital Signal Processing, PHI, 2006.

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S.No 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.10 1.11 1.12 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 2.10 2.11 2.11.1 2.11.2 3.1 3.2 3.3 3.4 3.5 3.6 4.1 4.1.1 4.1.2 4.2 4.3 4.4 Topic UNIT I - FREQUENCY TRANSFORMATIONS INTRODUCTION DIFFERENCE BETWEEN FT & DFT CALCULATION OF DFT & IDFT DIFFERENCE BETWEEN DFT & IDFT PROPERTIES OF DFT APPLICATION OF DFT FAST FOURIER ALGORITHM (FFT) RADIX-2 FFT ALGORITHMS COMPUTATIONAL COMPLEXITY FFT V/S DIRECT COMPUTATION BIT REVERSAL DECIMATION IN FREQUENCY (DIFFFT) GOERTZEL ALGORITHM UNIT II - IIR FILTER DESIGN INTRODUCTION TYPES OF DIGITAL FILTER STRUCTURES FOR FIR SYSTEMS STRUCTURES FOR IIR SYSTEMS CONVERSION OF ANALOG FILTER INTO DIGITAL FILTER IIR FILTER DESIGN - BILINEAR TRANSFORMATION METHOD (BZT) LPF AND HPF ANALOG BUTTERWORTH FILTER TRANSFER FUNCTION METHOD FOR DESIGNING DIGITAL FILTERS USING BZT BUTTERWORTH FILTER APPROXIMATION FREQUENCY RESPONSE CHARACTERISTIC FREQUENCY TRANSFORMATION FREQUENCY TRANSFORMATION (ANALOG FILTER) FREQUENCY TRANSFORMATION (DIGITAL FILTER) UNIT III - FIR FILTER DESIGN FEATURES OF FIR FILTER SYMMETRIC AND ANTI-SYMMETRIC FIR FILTERS GIBBS PHENOMENON DESIGNING FILTER FROM POLE ZERO PLACEMENT NOTCH AND COMB FILTERS DIGITAL RESONATOR UNIT IV – FINITE WORD LENGTH EFFECTS NUMBER REPRESENTATION FIXED-POINT QUANTIZATION ERRORS FLOATING-POINT QUANTIZATION ERRORS ROUNDOFF NOISE ROUNDOFF NOISE IN FIR FILTERS ROUNDOFF NOISE IN FIXED POINT FIR FILTERS Page No. 1 1 2 2 3 4 10 13 14 18 19 20 26 29 29 33 34 36 43 44 47 47 48 48 48 48 48 50 50 50 51 54 54 55 80 80 80 82 83 83 85

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